The **statement **as it has been written in the question is **false**. This is because, the upthrust must be **equal** to the weight in order for the object to float.

The principle of **floatation **states that an object would float in water when the **upthrust **on the object is equal to the weight of the object. We know that the upthrust is the force that acts on an object thereby throwing it up. The weight is the force that tries to sink the object into the fluid.

Given the statements above, it is **false **that; the plastic spoon float because the upthrust is more than the weight of the metal spoon so the upthrust pulls it up to float.

Learn more about **upthrust**:https://brainly.com/question/24383048

#SPJ1

Consider a 1500kg rollercoaster moving at 4.5m/s at the top of a

30.0m hill. If instead, friction does 52kJ of work on the rollercoaster on its

trip down the hill, how fast will the rollercoaster be moving once it

reaches ground level?

The rollercoaster be moving once it reaches** ground level **with a **speed **of 23.21 m/s.

Applying **work-energy theorem**,

Work done by **conservative forces **on the body + work done by** none conservative** forces on the body = Total **change in Kinetic Energy** of the body.

Here, conservative forces are gravitational force and non-conservative force is frictional force,

MgH - Fr = 1/2MV² - 1/2MU²

Where,

M is mass of roller coaster,

g is **acceleration due to gravity**,

H is the height of the roller coaster,

Fr is the** frictional force,**

V is the **final velocity** of roller coaster,

U is the **initial velocity **of the roller coaster,

1500(9.8)(30) - 52000 = 1/2(1500)(V²-20.25)

(441000 -52000)2/1500 = V² - 20.25

518.67 = V² - 20.25

V² = 538.9

V = 23.21 m/s.

To know more about** work energy theorem**, visit,

https://brainly.com/question/6458994

#SPJ1

Which ideas describe the big crunch? (1 point)

O After the universe reaches its expansion limit, gravity will pull it all back together.

O The big bang actually never occurred, and the universe must have a different origin.

O The universe goes through infinite cycles of expansion and contraction.

O The universe is not only composed of the objects that we can see.

**Answer:**

a

**Explanation:**

after the universe reach the limit, gravity does its thing

A wagon weighing 1000kg moves 50km/h on smooth rails. Later, a mass of 250 kg is placed in the wagon what is the velocity with which it moves?

The final velocity V is **40 km/h.**

**The final velocity V.**

Mass of wagon m = 1000 kg

Initial velocity of wagon v = 50 km/h

Mass dropped velocity M = 250 kg

The final velocity =V

Initial system linear momentum [tex]P_{i}[/tex] = mv

=1000*50

=5*[tex]10^{4}[/tex] kg km/h

The system with the final velocity **(wagon + mass dropped**) be V .

Final system linear momentum [tex]P_{f}[/tex] = **(m + M) V**

=(1000+250)V

=1250 V

Basic principle of conservation of linear momentum,

[tex]P_{f}[/tex] = [tex]P_{i}[/tex]

1250V=5*[tex]10^{4}[/tex]

V=[tex]\frac{5*10^{4} }{1250}[/tex]

V= 40 km/h

So, the final velocity V is **40 km/h.**

Learn more about problems on** velocity.**

https://brainly.com/question/19905657

I’m not really sure if these answers are right so I’d really like some clarification! :)

[tex]Vibrating\text{ charges and Flowing charges can create a magnetic field}[/tex]

A 10 kg rubber block sliding on a concrete floor (µ = 0.65) Calculate the frictional force.

**Answer:**

Therefore the friction Force is **65 ****N**.

**Explanation:**

Look at the image above.

The **frictional force **of the rubber block is **63.7N**.

**Friction **is defined as a force that **opposes **the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are many types of **friction **such as **dry friction **which is defined as the force that opposes the relative lateral motion of two solid surfaces in contact.

This **friction force **is directed in the opposite direction to the motion of the object itself because the friction described so far between surfaces in relative motion is called **kinetic friction**.

For above given information,

mass of the block, m =10kg

coefficient of friction, µ=0.65

**f=coefficient of the friction ×normal= µ*R**

R= normal =mg = 9.8×10=98N

So, f =0.65×98=63.70N

≈65N(when g is taken as 10m/s²)

Thus, the **frictional force **of the rubber block is **63.7N**.

Learn more about **Friction**, here:

https://brainly.com/question/28356847

#SPJ2

When you drop a 0.38 kg apple, Earth exerts a force on it that accelerates it at 9.8 m/s2 to- ward the earth’s surface. According to Newtons third law, the apple must exert an equal but opposite force on Earth. If the mass of the earth 5.98 x 10^24 kg, what is the magnitude of the Earth's acceleration toward the apple? Answer in units of m/s^2

The** magnitude** of the **earth’s acceleration** toward the** apple** with a mass of 0.38 kg is **6.2 × 10⁻²⁵ m/s²**.

**Gravity **is a fundamental force which is responsible for causing **mutual attraction** between all the things with mass or energy.

The **gravitational force** can be calculated by the formula:

**F = m.a**

where, F = force

m = mass of an object

a = acceleration of the object

Here, the** mass **of the apple, m = 0.34 kg

The **acceleration** of the** apple** towards the earth's surface (a) = 9.8 m/s²

The **mass** of the Earth, M = 5.98 × 10²⁴ kg

Now, by applying **Newton's Law of the motion**,

The magnitude of the **force** on the apple due to Earth is can be calculated as:

**F = m × a**

F = 0.34 × 9.8

F = 3.724 N

According to the **Newton's third law of motion**, the apple must exert an equal but opposite force on **Earth**.

So, the magnitude of the **force on Earth** due to the apple will be:

F = 3.724 N

Let the magnitude of the **earth’s acceleration **towards the apple be 'A' m/s².

Thus, the magnitude of the **earth’s acceleration** towards the apple will be given by:

**F = MA**

M = mass of the Earth

A = acceleration of the Earth

3.724 = [5.8 × 10²⁴] × A

A = 3.724 / [5.8 × 10²⁴]

A = 0.6227 × 10⁻²⁴

**A = 6.2 × 10⁻²⁵ m/s²**

Learn more about **Gravity** here:

https://brainly.com/question/1479537

#SPJ1

When a force is exerted on a box, an equal and opposite force is exertedby the box. These forces are calledforces.O action-reactionO frictionalO centripetalO gravitational

**Explanation**

Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.

let's check a box on a table

your pet hamster sits on a record player that has constant angular speed . if the hamster moves to a point twice as far from the center, then its linear speed

Força leonina raios solares

A pilot wishes to fly 2500km due South. The air speed of the plane is 300km/h and there is a wind of 50km/h from the West. What heading should the pilot take and what is the time required to complete the flight?

Since there is a wind speed of 50 km/h to the west, this speed needs to be compensated by the heading of the plane.

If we decompose the plane speed, one component will be used to cancel out the wind speed:

To find the orientation theta, we can calculate the east component of the plane speed and equate it to the wind speed:

[tex]\begin{gathered} V_{\text{east}}=V_{\text{wind}} \\ V\cdot\sin (\theta)=50 \\ 300\cdot\sin (\theta)=50 \\ \sin (\theta)=\frac{50}{300}=\frac{1}{6} \\ \theta=\sin ^{-1}(\frac{1}{6}) \\ \theta=9.59\degree \end{gathered}[/tex]Now, let's calculate the south component:

[tex]\begin{gathered} V_{\text{south}}=V\cdot\cos (9.59\degree) \\ V_{\text{south}}=300\cdot0.986 \\ V_{\text{south}}=295.8\text{ km/h} \end{gathered}[/tex]Calculating the required time of flight, we have:

[tex]\begin{gathered} \text{distance}=\text{speed}\cdot\text{time} \\ 2500=295.8\cdot t \\ t=\frac{2500}{295.8} \\ t=8.45\text{ hours} \end{gathered}[/tex]Therefore **the orientation is 9.59° east of south and the time required is 8.45 hours.**

A lamp draws 0.50 A from a 120 V generator. (a) How much power does the generator deliver to the lamp? (b)How much electric energy does the lamp convert to light and heat in a period of 5.0 minutes?

**Given: **

The lamp draws the current is

[tex]I=0.50\text{ A}[/tex]The voltage supplied by the generator is

[tex]V=120\text{ V}[/tex]The time for which energy converted is

[tex]\begin{gathered} t=5\text{ min} \\ t=5\times60\text{ s} \\ t=300\text{ s} \end{gathered}[/tex]**Explanation:**

**(a) **

The power delivered by the generator is given by

[tex]P=VI[/tex]Plugging all the values in the above equation, we get

[tex]\begin{gathered} P=120\text{ V}\times0.50\text{ A} \\ P=60\text{ watt} \end{gathered}[/tex]**The power delivered by the generator is **

(b)

Energy is converted by the electric lamp is given by

[tex]E=Pt[/tex]Plugging all the values in the above relation, we get

[tex]\begin{gathered} E=60\text{ watt}\times300\text{ s} \\ E=18000\text{ J} \end{gathered}[/tex]Thus, **the electric energy convert by the lamp is **

1. A force of 20 N is applied to extend a horizontal spring by 5 cm. What is the spring constant?

2. A spring has a spring constant of 15 N/cm. Which of the following hanging mass would produce an extension of 3.0 cm?

The **spring constant **is 400 N/m and The** mass** which would produce an **extension **of 3.0 cm is 0.0459 kg.

Here we are dealing with a problem related to** hook's law** which states that the** force** required to expand or compress a spring by a few **distances** is corresponding to that distance. This can be expressed scientifically as** F= -kx**, where F is the force connected to the spring and x is the displacement of the spring, with negative esteem illustrating the **displacement** of the spring once it is extended; and here k is the** spring constant**.

For the first case, we are given the force applied which is 20 N, and the extended length which is 5cm =0.05 m,

So the **spring constant** will be, k= F/x= 20/0.05 = 400 N/m

For the second case we are given that the spring constant which is 15 N/m and the extension is 3.0 cm =0.03 m.

Since we know **F= mg** ( where g is the **acceleration due to gravity** )

So the** hanging mass**, will be

=>F= kx

=>mg=kx

=>m=kx/g

=15 x0.03/9.8

= 0.0459 kg

To know more about **hook's law** refer to the link https://brainly.com/question/13348278?referrer=searchResults.

SPJ1

If a piece of ribbon were tied to a stretched string carrying a transverse wave, then how is the ribbon observed to oscillate?a.)perpendicular to wave directionb.)both perpendicular to and parallel to wave direction

The** ribbon **was observed to oscillate **perpendicular** to the wave direction. Option A.

In **transverse waves**, particles move** perpendicular** to the direction of wave propagation. Examples of transverse waves are string vibrations and water waves. By moving the Slinky vertically up and down, you can create horizontal transverse waves. Her one type of mechanical wave is the transverse wave.

where the** motion **of the medium is** perpendicular** to the direction of energy propagation. A transverse wave is a wave whose vibration is perpendicular to the direction of wave propagation. This is in contrast to longitudinal waves, which propagate in the direction of oscillation. Water waves are an example of transverse waves.

Learn more about **The ribbon** here:-https://brainly.com/question/11685530

#SPJ9

9.A stock car is moving at 25.0 m/s when the driverapplies the brakes. If it stops in 3.00 s, what is itsaverage acceleration?

The average acceleration **a** of an object that changes its speed from **v_0** to **v_f** during a time interval **t** is:

Since the car is initially moving at 25.0m/s and it stops in 3.00 seconds, then its final speed is 0m/s.

Replace **v_f=0, v_0=25.0m/s** and **t=3.00s** to find the average acceleration of the car:

**Therefore, the average acceleration of the car when it stops from 25.0m/s in 3.00 seconds, is ****-8.33m/s^2**.

The proper time between two events is measured by clocks at rest in a reference frame in which the two events: The proper time between two events is measured by clocks at rest in a reference frame in which the two events: a. are separated by the distance a light signal can travel during the time interval

b. occur at the same time

c. satisfy none of the above

d. occur in Nashville occur at the same coordinates

The correct option is option (D) occur in **Nashville **occur at the same **coordinates**.

In general proper time is the time interval between two events as measured by an observer who sees the event occur at the **same position.**

In **geometry**, a coordinate system is a device that makes use of one or more numbers, or coordinates, to uniquely determine the location of the points or different geometric factors on a manifold which includes Euclidean area.

Math **coordinates **discover the vicinity of a factor on a graph or map. The ordered pair, (x, y) is the cope with of the factor. The **Cartesian **coordinate gadget is the graph used to locate the point. The graph is split up into four quadrants.

Learn more about **coordinates **here:- https://brainly.com/question/12959377

#SPJ1

Identify the different types of energy transformation in each1. windmill Energy Transformation:2. FlashlightEnergy Transformation:3. Firecracker Energy Transformation:4. Bicycle Energy Transformation:5.Microwave Energy Transformation:Nonsense answer-reportGreat answer-brainliest

We will have the following:

1. Windmill: From wnd energy to mechanical energy.

2. Flashlight: From chemical energy to ligth energy and thermal energy.

3. Firecracker: From chemical energy to thermal energy and kinetic energy.

4. Bycicle: From mechanical energy to kinetic energy.

5. Microwave: From electric energy to thermal energy,

19, 20, and 21 are confusing

1)** Solid** ,whose molecules are compactly arranged . so ,letter N

2) **liquid** state -the state in which molecules are arranged neither too compact nor loose . SO, letter O is pure liquid

3) letter Q is a pure **gas **

The quantity of heat energy needed to convert a substance from a solid to a liquid is known as the heat of fusion. **Enthalpy of fusion** is another name for it. Joules per gram (J/g) or calories per gram (Cal/g) are typically used as its units. The solution to this example problem shows how to determine how much energy is needed to melt a sample of water ice.

The quantity of** heat energy** required to convert solid stuff into liquid is known as the heat of fusion (melting.)

Q = mHf is the formula for calculating **heat of fusion.**

The **temperature** is not a factor in the equation or the computation because matter does not truly change temperature when it changes states.

Heat of fusion is usually a positive value, with the exception of when melting helium.

To know more about **Heat of fusion**, visit-

**https://brainly.com/question/3650601**

#SPJ4

A bicycle wheel, of radius 0.300 m and mass 1.47 kg (concentrated on the rim), is rotating at 4.00 rev/s. After 56.4 s the wheel comes to a stop because of friction. What is the magnitude of the average torque due to frictional forces? Nm

Given,

The radius of the wheel, r=0.300 m

The mass of the wheel, m=1.47 kg

The initial angular frequency of the wheel, f=4.00 rev/s

The time it takes for the wheel to come to a stop, t=56.4 s

The final angular velocity of the wheel, ω=0 rad/s

The initial angular velocity of the wheel is

[tex]\begin{gathered} \omega_0=2\pi f \\ =2\pi\times4.00 \\ =25.13\text{ rad/s} \end{gathered}[/tex]From the equation of motion,

[tex]\omega=\omega_0+\alpha t[/tex]Where α is the angular acceleration of the wheel.

On substituting the known values,

[tex]\begin{gathered} 0=25.13+\alpha\times56.4 \\ \Rightarrow\alpha=\frac{-25.13}{56.4} \\ =-0.45\text{ rad/s}^2 \end{gathered}[/tex]The moment of inertia of the wheel whose mass is concentrated on the rim is given by,

[tex]I=mr^2^{}[/tex]The torque applied by the friction is given by,

[tex]\begin{gathered} \tau=I\alpha \\ =mr^2\alpha \end{gathered}[/tex]On substituting the known values,

[tex]\begin{gathered} \tau=1.47\times0.300^2\times-0.45 \\ =-0.06\text{ Nm} \end{gathered}[/tex]The negative sign of the torque indicates that the torque is applied to the wheel in the direction opposite to the direction of rotation of the wheel.

**Thus the magnitude average torque due to frictional force is 0.06 Nm**

consider the graph. which would best represent wearing a helmet during a blow to the head in a crash, explain.

By wearing the helmet, the time isextended during which the change in momentum of the body takes place during the crash.

This increase in time for the force acting on the body will decrease the impact of force on the body.

In the given graph, the value of force on the head is less and time taken is more in the first graph.

**Thus, the first graph (1) represent the wearing helmet case.**

The force on the head is more and time is less in the second case.

**Thus, the second graph (2) represents the without helmet case.**

The table below shows part of the operating budget of a small dairy farm for the last year. The only expense not listed is maintenance. LAST YEARS OPERATING BUDGETExpense Fraction of BudgetFood 1/3Housing 1/3 Medical Care 1/4This year the managers of the farm will change the fraction for the budget for housing to ⅛ but will leave the fraction of the budget for good and medical care the same. Again, the remaining portion of the budget will be before maintenance expenses. What is the difference between the fraction of the budget for maintenance this year and last year?Show your workAnswer

[tex]\frac{5}{24}[/tex]

**Explanation**

**Step 1**

let the fractions

[tex]\begin{gathered} Food\text{ }\frac{\text{1}}{3} \\ \text{ Housing }\frac{\text{1}}{3} \\ \text{Medical care }\frac{1}{4} \\ \text{ maintenance= M ( unknown)} \end{gathered}[/tex]so

a)This year the managers of the farm will change the fraction for the budget for housing to 1/8

so

[tex]\begin{gathered} Food\text{ }\frac{\text{1}}{3} \\ \text{ Housing }\frac{\text{1}}{8} \\ \text{Medical care }\frac{1}{4} \\ \text{ maintenance= M ( unknown)} \end{gathered}[/tex]b) hence,the total budget is

[tex]\begin{gathered} \text{past year= Operatingbudget= food+housidn +Medical care+maintenance} \\ \text{replace} \\ past\text{ year= }\frac{1}{3}+\frac{1}{3}+\frac{1}{4}+m \\ past\text{ year=}\frac{11}{12}+m \end{gathered}[/tex]this year

[tex]\begin{gathered} \text{past year= Operatingbudget= food+housidn +Medical care+maintenance} \\ \text{replace} \\ thisyear\text{= }\frac{1}{3}+\frac{1}{8}+\frac{1}{4}+m \\ thisyear\text{=}\frac{17}{24}+m \end{gathered}[/tex]**Step 2**

find the fractions for maintenance on each year:

as we are using fraction of the total budget, we need to set the sum of the fractions equals 1, hence

a) past year

[tex]\begin{gathered} \text{total = 1, so} \\ past\text{ year=}\frac{11}{12}+m=1 \\ m=1-\frac{11}{12} \\ m=\text{ }\frac{1}{12} \end{gathered}[/tex]b) this year

[tex]\begin{gathered} \text{total = 1, so} \\ this\text{year=}\frac{17}{24}+m=1 \\ m=1-\frac{17}{24} \\ m=\text{ }\frac{7}{24} \end{gathered}[/tex]**Step 3**

now, find the difference

[tex]\begin{gathered} \text{difference =}\frac{7}{24}-\frac{1}{12} \\ \text{difference =}\frac{5}{24} \end{gathered}[/tex]therefore, **the answer is 5/24**

I hope this helps you

This is astronomy and give explanations

The **scientific **study of all **celestial **objects is known as astronomy. Galaxies, planets, stars, comets, meteors, and other events **affecting **the celestial bodies are all observed and studied by **astronomers**.

The words "**Astro**," which means "star," and "**nomos**," which means "rule," are derived from ancient Greek. Astronomy, when combined, refers to "star law." The natural sciences are the ones that it is the **oldest**.

Since there are so many celestial objects to study, it is practical to divide astronomy into various **branches**.

Here are some of the more well-known astronomical **fields-**

**1**. Planetary Astronomy

**2**. Solar Astronomy

**3**. Stellar Astronomy

**4**. Galactic Astronomy

**5**. Observational Astronomy; etc.

Let's know more about its **distinction **with space exploration

https://brainly.com/question/1141458

A block is pulled to the right by a rope as shown above. Which of the following statements are true about the block?I. The normal force is equal to the weight.II. The normal force is mgcosθ.III. The horizontal component of F is Fcosθ.answer choice-I only.II and III onlyIII only.II only.I and III only.

**Answer:**

**III only**

**Explanation:**

The net vertical force is equal to 0 because the block is not moving up. Then, we can write the following equation

Fnet = N + Fsinθ - mg = 0

Where Fsinθ is the vertical component of the force F. Solving for the normal force N, we get:

N = mg - Fsinθ

Therefore, the normal force is not equal to the weight and the normal force is not mgcos(θ)

However, the horizontal component of F is Fcos(θ). So, the answer is

III only.

P and Q are points within a uniform electric field that are separated by a distance of 0.2 m as shown. The potential difference between P and Q is 75 V.How much work is required to move a +150 μC point charge from P to Q?0.023 J140 J0.011 J2800 J75 J

**ANSWER:**

0.011 J

**STEP-BY-STEP EXPLANATION:**

Given:

q = 150 μC

v = 75 V

r = 0.2

We calculate the work as the product between the charge and the potential difference, just like this:

[tex]\begin{gathered} W=q\cdot v \\ W=150\cdot10^{-6}\cdot75 \\ W=0.01125\text{ J} \\ W\cong0.011\text{ J} \end{gathered}[/tex]The work required is 0.011 J

A grinding wheel 0.35 m in diameter rotates at 2500 rpm. What is the linear speed of apoint on the edge of the grinding wheel?

Linear velocity (V) = r* w

where:

r = radius = diameter/2= 0.35 /2 = 0.175 m

w= angular velocity = rpm = 2500 = 2500/60 = 125/3 rps

1 revolution = 360° = 2pi rad/s = 125/3 2pi rad/s

= 261.8 rad/s

v = 0.175 m * 261.8 m/s = **45.8 m/s**

Help! I've tried solving it a few times!

An electron travels 2.68 m in 6.11 × 10^-8 s. How fast does it travel in cm/s? Answer in units of cm/s.

If an electron travels 2.68 m in 6.11 × 10^-8 s, it will **travel at a speed** of 43.86 * [tex]10^{8}[/tex] cm / s

**v = d / t**

v = Velocity

d = Distance

t = Time

d = 2.68 m

t = 6.11 * [tex]10^{-8}[/tex]

v = 2.68 / 6.11 * [tex]10^{-8}[/tex]

v = 0.4386 * [tex]10^{8}[/tex] m / s

v = 0.4386 * [tex]10^{8}[/tex] * 10² cm / s

v = 43.86 * [tex]10^{8}[/tex] cm / s

One meter is equal to **100 centimeters**. So in order to convert a meter value into centimeter, multiply the meter value by 100 or 10².

Therefore, the electron travels at **43.86 * **[tex]10^{8}[/tex]** cm / s**

To know more about **velocity**

https://brainly.com/question/19979064

#SPJ1

_______ is the study of the way all living things relate to each other in the world. The word comes from two Greek words which mean the study or science of the home.

**Ecology** is the study of the way all **living** things relate to each other in the world.

This is referred to as the science which deals with the study of **organisms** and how they interact with their **environment.** It comprises of the study of the organisms present and their habitat.

Their **habitat** is the area where they live which comprises of many **resources** such as food, water etc which are needed for their growth and survival. The **living** things interact with it for beneficial reasons and is the reason why **Ecology** was chosen as the correct choice.

Read more about **Ecology** here https://brainly.com/question/842527

#SPJ1

A bullet is shot from a rifle with a speed of 600 m/s. If a target is 2000 meters away, how long will it take

to hit the target?

The **time** taken for the bullet moving with a speed of 600 m/s to hit a target 200 meters away is **3.33 s.**

What is time?

**Time** is the measured or measurable period during which an action, process, or condition exists or continues.

To calculate the **time **it takes the bullet to hit the target, we use the formula below.

Formula:

v = d/t.......... Equation 1Where:

v = Velocityd = distancet =Make t the subject of the equation

t = d/v............ Equation 2From the question,

Given:

d = 2000 metersv = 600 m/sSubstitute these values into into equation 2

t = 2000/600t =Hence, the **time **it will take to hut the target is** 3.33 seconds.**

Learn more about **time **here: https://brainly.com/question/10428039

#SPJ1

ectile mo

A rifle is aimed horizontally at a target 35.0 m away. The bullet hits the target hits the

target 2.10 cm below the aiming point. a) What is the bullet's time of flight? b) What is

its muzzle velocity?

the velocity of the muzzle would be 15 becuase you divide the target and the target below

Archaeological samples are often dated by radiocarbon dating. The half-life of carbon-14 is 5,700 years.

After how many half-lives will the sample have only 1/64 as much carbon-14 as it originally contained?

How much time will have passed?

If the daughter product of carbon-14 is present in the sample when it forms (even before any radioactive decay happens), you cannot assume that every daughter you see is the result of carbon-14 decay. If you did make this assumption, would you overestimate or underestimate the age of the sample?

There are** six half lives** that have passed within 34,200 years. When we assume that we have some of the products present initially, then we **overestimate **the age of the sample.

The** half life** is the time taken to obtain only half of the number of atoms that were originally present in the radioactive material. We know that living things do contain the** carbon- 14 isotope **together with the carbon - 12 isotope in the substance. When the organism dies, the carbon - 14 which is radioactive begins to decay and its half life could be used to estimate the age of the sample as we know.

Given that after each half life, we have only half of the original amount that remains. We would have 1/64 of the original amount left after** six half lives** and this means that 34,200 years have passed.

If we the daughter product of carbon-14 is present in the sample when it forms (even before any radioactive decay happens), then we would over estimate the age of the sample.

Learn more about **carbon - 14**:https://brainly.com/question/4206267

#SPJ1

A car starts from rest with constant acceleration achieves a velocity 15m/s when it travels a distance of 200m. Determine its acceleration and the time required.

**3.7996 seconds** are needed to** accelerate** it.

acceleration is the **rate of change** in both speed and direction of velocity over time. When anything moves faster or slower in a **straight line**, it is said to have been **accelerated**. Because the direction is always shifting, motion on a circle accelerates even while the speed is** constant.**

So we have u= 0m/s, v=15m/s, s= 200m

**So,2as= v^2-u^2**

A= V^2 - U^2/2s

= 225/400

=0.5625 m/s^2

**V=u + a*(t^2)**

15=0+0.5625(t^2)

15-0.5625= t^2

=14.4375=t^2

root14.4375= root(t)

**Time= 3.7996 seconds**

To know more about **acceleration **visit:-

https://brainly.com/question/12550364

#SPJ10

A 75 kg student drives a 650 kg car. What is the applied force on the car if * 5 points the car starts from rest and accelerates to 60 m/s in 8 seconds?

**Answer:**

4500 N

**Explanation:**

Bc f is equal to mass times acceleration and the acceleration is 60

If a 75 kg student **drives **a 650 kg car, then the car starts from **rest **and **accelerates **to 60 m/s in 8 seconds, then the applied **force **on the car would be 5437.5 Newtons.

Newton's Second Law states that The **resultant **force acting on an object is **proportional **to the rate of change of momentum.

The mathematical expression for **Newton's** second law is as follows

F = m × a

As given in problem an If a 75 kg student drives a 650 kg car, the car starts from rest and **accelerates **to 60 m/s in 8 seconds.

The **acceleration **of the car = 60 / 8

= 7.5 m / s²

The force **applied **on the car = 725 × 7.5

= 5437.5 Newtons

Thus, the applied **force **on the car would be 5437.5 Newtons.

To learn more about **Newton's second law **here, refer to the link given below ;

brainly.com/question/13447525

#SPJ2

What is the slope of a line that passes the points (-1,4 ) and ( 3,9 ) ?
Solve for x.5(2x - 1) = 6a. x = 1/10b. x = 11/10c. x = 1/2
SOMEONE HELP PLSPart AHow does Hattie feel about Evelyn's reaction to moving to New York City in "Home"?ResponsesHattie is jealous of Evelyn's optimism about the move.Hattie wants Evelyn to be more serious about the move.Hattie appreciates that Evelyn is able to feel positive about the move.Hattie is angry at Evelyn for forgetting their former home so quickly.Part B - Points depend on a correct response in Part A.Which two sentences from the text best support the answer in Part A.Responses"Hattie was grateful for her younger sister, for the way that she could always look at the bright side of things.""Hattie pulled Evelyn close, knowing that a place would never be as important as the people in it.""In front of her face, Evelyn was holding a folded-up picture of the whole family in front of the farmhouse.""She wanted to put the smile back on because she knew it would be better for Evelyn and everyone else that way, but she couldnt summon it now."
What is Qualitative Data and what is the discreate and Continuous in qualitative data?
1. Name the clade of the photosynthetic bacteria that are a main producer in aquatic communities2. Name three Multicellular/Large protist producers in aquatic communities
Which of the following statements about the particles in a material is true?Responses
Human height shows a continuous variation from the very short to the very tall. Height is most likely controlled by?.
luz is an employee of motor parts, an auto parts store. on the orders of his employer, he switches trademarks on parts that come into the store to be sold to consumers. this is most likely
Select the correct answer. What is the solution to the equation? (x - 2)^1/2 + 4 = x A. -3 and -6 B. 3 and 6 C. -3 D. 6
i need help with this problem
i buy a perpetuity from a bank today for $200. in five years, after collecting each years payment, i then offer to sell the perpetuity back to the bank. if interest rates have risen, should the value of the perpetuity rise or fall?
A smart phone costs $149.99 before tax. The tax on the smart phone is 7%.What is the total cost of the smart phone?Round your answer to the nearest centA$9.90B$29.69C$35.49D$49.49
find the larger of 2 consecutive intergers if 4 times the smaller is 53 more than 3 times the larger
Give the appropriate response to the following scenario.1. A Korean national is standing in front of a cashier and seems like hungry. The cashier felt that he needs something to eat. Knowing his nationality what will you do to communicate with him in getting his order?2. There is Filipino Muslim who wants to eat in your restaurant. He seems tired andneeds something to eat and drink. Upon knowing his ethnicity, what will be the food you will offer to him to make him decide abruptly and satisfy his craving for food?Lets Do This3. There is a cross-dresser looking for perfume inside the mall where you are working. As the sales clerk, how will you address the customer properly to avoid discrimination?
when is a substance most likely to diffuse into a cell?
The tables of ordered pairs represent some points on the graphs of lines q and v. Line 9 Line v -9 -3 2. 0 10 0 18 33 10 8 3 Which system of equations is represented by lines q and v? F 21x - y = 9 5x + 6y = 40 G 3x - y = -27 x + 2y = 16 H 21x - y = 9 5x - 6y = 20 3 9x - y = -27 x + 2y = 8
Lisa is saving for college. The account is modeled by the function:f(x) = 250(1.25)x^, when x represents how many years she has saved.Xavier is also saving for college. His account is modeled by this table:X 0 1 2 3g(x) 200 270 364.5 492.08Answer the following questions:A. After 5 years, how much does Lisa's account have in it?B. After 5 years, how much does Xaviers account have in it?C. What is the positive difference in their accounts after 5 years?
Graph the line that has an z-intercept of (-3,0) and a y-intercept of (0, - 5). What is the slope of this line?
What is the value of (3 + 3i) + (2 + 3i)?
The daily changes in the barometric pressure for four days are 0.05, 0.09, 0.04, and 0.08 inches. The mean change after five days is 0.01 inch. What is the change on the fifth day? Write your answer as a decimal.