a tennis player swings her 1000 g racket with a speed of 15.0 m/sm/s . she hits a 60 g tennis ball that was approaching her at a speed of 17.0 m/sm/s . the ball rebounds at 35.0 m/sm/s .
A) How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the collision.
_________m/s
B) If the tennis ball and racket are in contact for 7.00, what is the average force that the racket exerts on the ball?
_________N

Answers

Answer 1

A) The racket is moving at 6.25 m/s immediately after the impact.

B) The average force that the racket exerts on the ball is 0.468 N.

The conservation of momentum principle states that the total momentum before and after the collision is conserved. Therefore, we can write:

(m_racket * v_racket_before) + (m_ball * v_ball_before) = (m_racket * v_racket_after) + (m_ball * v_ball_after)

where m_racket and m_ball are the masses of the racket and ball, respectively, and v_racket_before, v_ball_before, v_racket_after, and v_ball_after are the velocities of the racket and ball before and after the collision, respectively.

Using the given values, we can solve for v_racket_after:

(0.1 kg * 15.0 m/s) + (0.06 kg * (-17.0 m/s)) = (0.1 kg + 0.06 kg) * v_racket_after

v_racket_after = 6.25 m/s

Therefore, the racket is moving at 6.25 m/s immediately after the impact.

B) The average force that the racket exerts on the ball can be calculated using the impulse-momentum principle, which states that the impulse of a force is equal to the change in momentum it produces. We can write:

J = F_avg * t = m_ball * (v_ball_after - v_ball_before)

where J is the impulse, t is the duration of the collision (7.00 s), and v_ball_before and v_ball_after are the velocities of the ball before and after the collision, respectively.

Using the given values, we can solve for F_avg:

F_avg = m_ball * (v_ball_after - v_ball_before) / t

F_avg = 0.06 kg * (35.0 m/s - (-17.0 m/s)) / 7.00 s

F_avg = 0.468 N

Therefore, the average force that the racket exerts on the ball is 0.468 N.

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Related Questions

How much energy is required to move a 6400 kg truck traveling at 100 m/s?

What is the unit?

Answers

The energy required to move a 6400 kg truck traveling at 100 m/s is 32,000,000 joules (J).

To calculate the energy required to move a 6400 kg truck traveling at 100 m/s, we need to find its kinetic energy. The formula for kinetic energy is KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the truck, and v is its velocity. The unit for energy is joules (J).

Explanation:
Step 1: Identify the mass (m) and velocity (v) of the truck.
m = 6400 kg
v = 100 m/s

Step 2: Plug the values into the kinetic energy formula.
KE = 0.5 * m * v^2
KE = 0.5 * 6400 kg * (100 m/s)^2

Step 3: Calculate the kinetic energy.
KE = 0.5 * 6400 kg * 10000 m^2/s^2
KE = 3200 kg * 10000 m^2/s^2
KE = 32,000,000 J

The energy required to move a 6400 kg truck traveling at 100 m/s is 32,000,000 joules (J).

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Rose got out of bed and walked from her room to the bathroom 10 m/s in 2s. She was traveling southeast. What was her acceleration?

Answers

Answer:

Acceleration = 5m/s² Southeast

Explanation:

Given the following data;

Final velocity = 10 m/s

Time = 2secs

To find acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)

\(a = \frac{v - u}{t}\)

Where,

a is acceleration measured in \(ms^{-2}\)

v and u is final and initial velocity respectively, measured in \(ms^{-1}\)

t is time measured in seconds.

We know that Initial velocity = 0m/s

Substituting into the equation, we have;

\(a = \frac{10 - 0}{2}\)

\(a = \frac{10}{2}\)

Acceleration = 5m/s² Southeast.

HELPPPPPPP PLEASE! ASAPPPPPP

HELPPPPPPP PLEASE! ASAPPPPPP

Answers

Answer:

Answer:

Debt payments to income ratio = 22.74%

Explanation:

Debts payment to Income ratio is calculated as follows:

= \frac{Total\ debt\ payment}{Total\ Income}

Total Income

Total debt payment

We have total debts payment = auto loan payment 685 + student loan payment685+studentloanpayment375 + credit card payment 125 =125=1,185

Total Income = $5,210

Note: Credit card is also a kind of debt as firstly all the expenses are met during the period and then the payment is made at the end of the period, therefore, there is a loan in the period. Therefore, it will be considered for payment of debt.

Debt payments to income ratio = \frac{1,185}{5,210} = 22.74

5,210

1,185

=22.74

That means the debts are 22.74% of income.

In a pitch situation, your vehicle weight moves to either the left or right of the vehicle. TRUE FALSE Submit answer

Answers

The given statement "in a pitch situation, a vehicle's weight moves to either the right or left of the vehicle" is false because, in a yaw situation, a vehicle weight moves to either the right or left around the center of gravity.

The Society of Automotive Engineers (SAE) describes Vehicle Dynamics as the relationship between the forces exerted on a vehicle and the resulting motion. Three important motions of a vehicle are pitch, yaw, and roll.

Pitch is indicated as the rotation of a vehicle about the transverse axis. Yaw is referred to as the rotation of a vehicle about the vertical axis.Roll is defined as the rotation of a vehicle about the longitudinal axis.

Thus, when a vehicle's weight moves either to right or left of the vehicle, it indicates a yaw situation.

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The Amway Center in Orlando is approximately 55n (180ft) tall. How fast (speed) will a ball dropped from it's rooftop hit the pavement below?

I need help badly​

Answers

Girl u in the same class as me I need help too.

Can you explain what a mixture is from a chemical prospective?

Answers

Answer:

I know I'm late but...

Explanation:

A mixture is the combination of two or more substances together. And I'm pretty sure that a mixture has no chemical substances. And mixtures can be physically separated.

Hope this helps you!

Stay safe and have a wonderful day/night!! :)

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A bullet of mass 0.1 kg traveling horizontally at a speed of 100 m/s embeds itself in a block of mass 3 kg that is sitting at rest on a nearly frictionless surface. (a) What is the speed of the block after the bullet embeds itself in the block? v = m/s (b) Calculate the kinetic energy of the bullet plus the block before the collision

Answers

The speed of the block after the bullet embeds itself in the block is approximately 3.33 m/s.

To solve this apply the principle of conservation of momentum. Before the collision, the momentum of the bullet is (0.1 kg) * (100 m/s) = 10 kg m/s. After the collision, the bullet becomes embedded in the block, so the combined mass of the bullet and block is (0.1 kg + 3 kg) = 3.1 kg. speed of the block after the collision is v.

The momentum before the collision is equal to the momentum after the collision:

(0.1kg)*(100m/s)=(3.1 kg)*v

v=(0.1kg*100m/s)/3.1kg≈3.2m/s

Therefore, the speed of the block after the bullet embeds is approximately 3.33m/s.The kinetic energy of the bullet plus the block before the collision, consider the kinetic energy of the bullet and the block separately.

The kinetic energy of an object is given by the equation:

KE = (1/2)*mass*velocity^2

KE_bullet = (1/2)*(0.1 kg)*(100 m/s)^2 = 500J

The kinetic energy of the block before the collision is zero since it is at rest.

Therefore, the total kinetic energy is 500 J.

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A player kicks a football from ground level with a velocity of
magnitude 27.0 m/s at an angle of 30° above the horizontal.
What is the horizontal distance the ball travels?
(hint: d= 1/2 at^2)

Answers

Answer:

37.33m

Explanation:

To calculate the distance using d= 1/2 at², the time taken for this projectile object (ball) must be calculated.

Time of a projectile = 2u sinθ/ g

Where u = velocity = 27m/s

g = 9.8m/s²

θ = 30°

T = 2usinθ/ g

T = 2 × 27 × sin 30°/9.8

T = 54sin30°/9.8

T = 27/9.8

T = 2.755

T = 2.76s

If the time taken for the ball to move is 2.76s, the distance travelled is:

D = 1/2at²

D = 1/2 × 9.8 × 2.76²

D = 1/2 × 9.8 × 7.6176

D = 74.65248/2

D = 37.33m

The horizontal distance the ball travels is 37.33m

The horizontal distance travel by ball is 37.32 meters.

First we have to calculate time of projectile,

               \(Time=\frac{2usin\theta}{g}\)

Where g is acceleration due to gravity and u is velocity.

Given that, \(u=27m/s, \theta=30\)

Substitute values in above relation.

       \(Time=\frac{2*27*sin30}{9.8}=\frac{2*27*0.5}{9.8}=2.76s\)

The horizontal distance is given by,

              \(d=\frac{1}{2}gt^{2}\\ \\ d=\frac{1}{2}*9.8*(2.76)^{2} \\\\d=37.32m\)    

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in which state of matter are the particles closest together?

Answers

Answer: The particles of a solid are [generally] closest together while those of a gas are farthest apart

Explanation:

An arcade ball is thrown with an initial speed of 7.0 m/s and follows the trajectory shown. The ball enter the basket .95 seconds after it is launched. What are the distances x and y?

Answers

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

\(x = 4.70 \ m\)     ,   \(y = 0.2803 \ m\)

Explanation:

From the question we are told that

     The initial velocity of the arcade ball is  \(u = 7.0 \ m/s\)

     The time taken by the ball to enter the basket is  \(t = 0.95 \ s\)

Generally the x -component of the initial  velocity is  

            \(u_x = 7 * cos (45)\)    

=>         \(u_x = 4.95 \ m/s\)

Generally the y -component of the initial  velocity is  

            \(u_x = 7 * sin(45)\)    

=>         \(u_y = 4.95 \ m/s\)

  Generally the distance x is mathematically represented as

                 \(x = u_x * t\)

=>              \(x = 4.95 * 0.95\)      

=>              \(x = 4.70 \ m\)    

Generally from kinematic equation the distance y is mathematically represented as

               \(y = u_y * t - \frac{1}{2} * g * t^2\)

=>            \(y = 4.95 * 0.95 - \frac{1}{2} * 9.8 * 0.95^2\)

=>            \(y = 0.2803 \ m\)

An arcade ball is thrown with an initial speed of 7.0 m/s and follows the trajectory shown. The ball

What is the period of a water wave is 4 complete waves pass a fixed point in 10 seconds?
A: 0.25 s
B: 0.40 s
C: 2.5 s
D. 4.0 s

Answers

The period of a wave is the time it takes for one complete wave to pass a fixed point. We are given that 4 complete waves pass a fixed point in 10 seconds.

To find the period, we can divide the total time by the number of complete waves:  10 seconds ÷ 4 waves = 2.5 seconds per wave


To determine the period of a water wave, we need to know how much time it takes for one complete wave to pass a fixed point. In this case, 4 complete waves pass in 10 seconds.

Step 1: Find the time it takes for one complete wave to pass.
Divide the total time (10 seconds) by the number of complete waves (4 waves).

10 seconds / 4 waves = 2.5 seconds

Step 2: Identify the corresponding answer choice.
The period of the water wave is 2.5 seconds, which corresponds to answer choice C.

Your answer: C: 2.5 s

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If I want to reduce the RLC circuit by a factor of 1 or 10, what method or material should I use to achieve resistance, inductance, and capacitance? (The description of the problem is only like this)I

Answers

To reduce the RLC circuit by a factor of 1 or 10, you can modify the resistance, inductance, and capacitance components of the circuit by using resistors, inductors, and capacitors with lower values that correspond to the desired reduction factors.

For resistance reduction, you can use resistors with lower resistance values. Resistors are readily available in a range of values, allowing you to select one that suits your desired reduction factor. For example, if you want to reduce the resistance by a factor of 1, you can simply replace the existing resistor with one of the same value. To achieve a reduction by a factor of 10, you would replace the resistor with one that has ten times lower resistance.

To modify the inductance of the circuit, you can utilize inductors with different inductance values. Inductors are commonly labeled with their inductance values in Henrys (H). By selecting an inductor with a lower inductance value, you can achieve a reduction in the inductance of the circuit. Again, you would choose an inductor that corresponds to the desired reduction factor.

For adjusting the capacitance, capacitors with different capacitance values are employed. Capacitors are usually labeled with their capacitance values in Farads (F). By using capacitors with lower capacitance values, you can reduce the capacitance in the circuit. Similarly, you would select a capacitor that corresponds to the desired reduction factor.

In conclusion, to reduce the RLC circuit by a factor of 1 or 10, you can modify the resistance, inductance, and capacitance components of the circuit by using resistors, inductors, and capacitors with lower values that correspond to the desired reduction factors.

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Write an equation of the line in slope-intercept form.

Write an equation of the line in slope-intercept form.

Answers

the answer would be y=1/3x+2

Which statement describes the redox reaction involved in photosynthesis?
A. It transfers energy to ATP molecules so energy can be transferred.
B. It is a combustion reaction in which energy is released.
C. CO2 is removed from the atmosphere, and O2 is released
D. O2 is removed from the atmosphere, and CO2 is released​

Answers

The statement 'CO2 is removed from the atmosphere, and O2 is released' describes the redox reaction involved in photosynthesis. It is a redox reaction.

What is photosynthesis?

Photosynthesis refers to a series of reactions by which plants can produce simple carbohydrates by using solar radiation and oxygen (O2).

These photosynthetic reactions are well known to release carbon dioxide (CO2) into the atmosphere.

During Photosynthesis, CO2 is reduced to simple carbohydrates (e.g., glucose), while water (H2O) is oxidized to O2, thereby producing a redox reaction.

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PLEASE HELP MEE 15 POINTS
the model represents a(n)

A. Compound
B. Mixture
C. Element
D. Electrons

PLEASE HELP MEE 15 POINTS the model represents a(n) A. Compound B. MixtureC. ElementD. Electrons

Answers

The mode represents a compound

The model represents a compound, therefore the correct answer is option A.

What is a Chemical compound?

A chemical compound is a combination of two or more either similar or dissimilar chemical elements.

For example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

A single carbon atom is covalently joined to two oxygen atoms to form the chemical molecule known as carbon dioxide or CO2.

Animals exhale it, and plants use it in the process of photosynthesis. Under normal conditions of pressure and temperature, carbon dioxide, or CO2, is a gas.

Thus, the model represents a compound, therefore the correct answer is option A.

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if you added 2500 pounds and 2 tons what would be the total weight?4,500 pounds4 1/2 tons3/4 ton6500poundsi need some help

Answers

ANSWER:

6500 pounds

STEP-BY-STEP EXPLANATION:

To know the answer, we must first know the equivalence between tons and pounds, since it is the only way they can be added.

We know that 1 ton equals 2000 pounds, therefore:

\(\begin{gathered} 2\text{ tons}\cdot\frac{2000\text{ pounds}}{1\text{ ton}}=4000\text{ pounds} \\ \text{then, } \\ 2500\text{ pounds + 4000 pounds }=\text{ 6500 pounds} \end{gathered}\)

A copper coin resting on a piece of cardboard is placed on a beaker as shown in the diagram below. When the cardboard is rapidly removed, the coin drops into the beaker. The two properties of the coin which best explain its fall are its weight and its-
A: Temperature
B: Density
C: Volume
D: Inertia

A copper coin resting on a piece of cardboard is placed on a beaker as shown in the diagram below. When

Answers

The answer should be d) inertia

Which vehicle will have more kinetic energy, a parked
semitruck or a car moving at 50 km/h?

Answers

Answer:

a semi truck

Explanation:

many atoms of each element are in one molecule of 2-heptanone?

Answers

A chemical structure of a molecule includes the arrangement of atoms and the chemical bonds that hold the atoms together. The 2-HEPTANONE molecule contains a total of 21 bond(s) There are 7 non-H bond(s), 1 multiple bond(s), 4 rotatable bond(s), 1 double bond(s) and 1 ketone(s) (aliphatic).

:/ hope this helps

7. describe the transverse tubule system of the sarcolemma in striated muscles and its relationship with the sarcoplasmic reticulum and the initiation of muscle contraction.

Answers

The transverse tubule (T-tubule) system of the sarcolemma in striated muscles is an invagination of the plasma membrane that runs perpendicular to the myofibrils. The T-tubules are important in transmitting action potentials deep into the muscle fiber, allowing for synchronous contraction.

The T-tubules are closely associated with the sarcoplasmic reticulum (SR), which is a specialized smooth endoplasmic reticulum that stores calcium ions (Ca2+) and releases them upon muscle stimulation. The SR surrounds each myofibril, and the T-tubules form triads with the two SR cisternae flanking each T-tubule.

During muscle contraction, the action potential traveling down the T-tubule activates voltage-gated Ca2+ channels in the adjacent SR membrane, leading to the release of Ca2+ into the cytoplasm. The Ca2+ binds to troponin, triggering a conformational change in the thin filaments and allowing myosin to bind to actin, leading to muscle contraction.

Therefore, the close association of the T-tubule system and the SR is essential for the initiation and regulation of muscle contraction.

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If a source of waves produces 30 waves per second, what is the frequency in hertz?

Please answer!!​

Answers

Answer:

30hz is the answer for the question

The frequency  of the wave is the number of waves per second. Thus its unit is s⁻¹ which is equivalent  the unit Hertz. Thus, 30 s⁻¹  is 30 Hz.

What is frequency?

Frequency by definition is the number  of events occurred per unit time. The frequency of a wave is the number of wave cycles per unit time. It is the inverse of time period.

Frequency of a wave is inversely proportional to the wavelength and directly proportional to the energy. Hence, as frequency increases, energy of the wave increases.

Since frequency is the  inverse time period it has the unit of frequency is s⁻¹ . s⁻¹  is equivalent to one Hz. Therefore, a wave frequency of 30 s⁻¹  is equal to 30 Hz.

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CALCULATE THE MOMENTUM OF AN OBJECT
THAT WEIGHS 60 KG AND IS TRAVELING AT 27

Answers

The object would have a momentum of about 1620 Kg m/s.

What is the momentum of as body?

The momentum of the body is the product of the mass and the velocity of the object. Let us noter that momentum is na vector quantity but the direction of the vector would just be the direction of the velocity of the object.

We can tell from the question that we have above that the parameters are;

Mass of the object = 60 Kg

Velocity of the object = 27 m/s

Now in this case we would have that;

Momentum of the body = 60 Kg * 27 m/s

= 1620 Kg m/s

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PLS HELP MEEEE (NO LINKS PLEASE)
The difference between visible light and gamma rays is that
a.
the amplitude of visible light is greater.
c.
they travel through a different medium.
b.
the speed of gamma rays is greater.
d.
the frequency of gamma rays is greater.

Answers

I think it could be D please tell me if I’m wrong I hope you have a wonderful day ❤️

Answer:

D. the frequency of gamma rays is greater.

Explanation:

Gamma rays occupy the short-wavelength end of the spectrum; they can have wavelengths smaller than the nucleus of an atom. Visible light wavesare one-thousandths the width of human hair--about a million times longer than gamma rays. Radio waves, at the long-wavelength end of the spectrum, can be many meters long.

HAVE A WONDERFUL REST OF THE DAYYYY! :3

FILL IN THE BLANK. as the physical spacing of the distance between water molecules changes, the ______ of the water may change too.

Answers

As the physical spacing of the distance between water molecules changes, the density of the water may change too.

A substance's density is determined by how much mass it has per unit of volume. In other words, it is a measure of how much matter is contained in a certain amount of space. The density of a substance can be influenced by various factors, including temperature and pressure. In the case of water, changes in temperature can lead to changes in the physical spacing between water molecules. When water is heated, the individual water molecules begin to move more quickly, which increases the average distance between them. This increase in the space between the water molecules leads to a decrease in the overall density of the water. As a result, hot water is less dense than cold water. Conversely, when water is cooled, the individual water molecules slow down, which decreases the average distance between them. This decrease in the space between the water molecules leads to an increase in the overall density of the water. As a result, cold water is more dense than hot water. In summary, as the physical spacing of the distance between water molecules changes, the density of the water may change too. This relationship between temperature and density is one of the unique properties of water that is critical to many biological and ecological processes.

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Under the right circumstances, a photon of high enough energy can give rise to an electron-positron pair.
A. What minimum energy photon is required? Express your answer with the appropriate units.

Answers

The minimum energy photon required to give rise to an electron-positron pair depends on the mass of the electron-positron pair, which is 1.02 MeV/c^2.

Therefore, the minimum energy of the photon required is 1.02 MeV.
Under the right circumstances, a photon with the minimum energy required to create an electron-positron pair must have energy equivalent to the combined mass of an electron and positron. The energy can be calculated using Einstein's famous equation, E=mc^2.
For an electron, the mass (m) is approximately 9.11 x 10^-31 kg, and the speed of light (c) is approximately 3.0 x 10^8 m/s. Since an electron and positron have equal masses, the combined mass is 2m.
The minimum energy (E) required is:

E = (2m)c^2
E = (2 * 9.11 x 10^-31 kg) * (3.0 x 10^8 m/s)^2
E ≈ 1.64 x 10^-13 Joules

Therefore, the minimum energy photon required to create an electron-positron pair is approximately 1.64 x 10^-13 Joules.

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How are sound waves different from the ripples that spread across water?​

Answers

Answer:

.

Explanation:

Sound waves are caused by vibration ripples in water are caused by disturbance in the molecules

Sound waves are longitudinal (the particles move in the same direction as the wave) as opposed to transversal waves (for example, in a sea wave, the water particles move up and down to form the wave). ... Water being incompressible is one of the reasons why sound waves move much faster in water than ripples.

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A rifle is aimed horizontally at a target 50m away. the bullet hits the target 2.0cm below the aim point

a. the time
b. the speed

Answers

The time of motion of the bullet is 0.064s.

The horizontal speed of the bullet is 781.25 m/s.

Time of motion of the bullet

The time of motion of the bullet is the time taken for the bullet traveled from its initial position to the final position and it is calculated as follows;

h = vt + ¹/₂gt²

where;

v is the initial vertical speed = 0t is the time of motionh is the height of fall = 2 cm = 0.02 m

0.02 = 0 + ¹/₂(9.8)t²

0.02 = 4.9t²

t² = 0.02/4.9

t² = 0.0041

t = √0.0041

t = 0.064 s

Horizontal speed of the bullet

The horizontal speed of the bullet is calculated using the following formula shown below;

X = Vₓt

where;

X is the horizontal distance = 50 mVₓ is the horizontal speed = ?t is the time of motion

Vₓ = X/t

Vₓ = (50 m) / (0.064)

Vₓ = 781.25 m/s

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A 5 kg ball is thrown at 4 m/s. What is the ball’s momentum

Answers

Answer:

20kgm/s

Explanation:

p=mv

p=5*4

p=20kgm/s

A cannon ball is launched from the edge of a cliff that is 6 m above the ground. It has a
horizontal velocity of 10.2 m/s. It takes 3.7 s for the cannonball to reach the ground.
How far from the cliff does it land?
Record your answer to the nearest hundredth.

Answers

Answer:

Sh = Vh t         horizontal distance traveled

Sh = 10.2 m/s * 3.7 s = 37.74 m

You can smell an open bottle of perfume in a room because __________.

A. the liquid vaporizes and the resulting gas molecules wander about the room
B. the scent travels without needing a medium to travel through
C. the air molecules bond with some of the perfume, carrying it around the room
D. the perfume in the bottle is under pressure​

Answers

answer b - 100 percent

Answer:

The answer is C

Explanation:

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