A grapefruit falls from a tree and hits the ground 0.72 s later.
How far did the grapefruit drop?
What was its speed when it hit the ground?

Answers

Answer 1

Answer:

The grapefruit dropped 2.54 m and hit the ground at 7.06 m/s

Explanation:

Free Fall Motion

A free-falling object falls under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not encounter air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2.[/tex]

The final velocity of a free-falling object after a time t is given by:

vf=g.t

The distance traveled by a dropped object is:

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

Given a grapefruit free falls from a tree and hits the ground t=0.72 s later, we can calculate the height it fell from:

[tex]\displaystyle y=\frac{9.8\cdot 0.72^2}{2}[/tex]

y = 2.54 m

The final speed is computed below:

[tex]vf=9.8\cdot 0.72[/tex]

vf = 7.06 m/s

The grapefruit dropped 2.54 m and hit the ground at 7.06 m/s


Related Questions

Can any kind soul help me​

Answers

Answer:

2917.4 m/s

Explanation:

From the question given above, the following data were:

Gravitational acceleration of the Moon (g) = 0.25 times the gravitational acceleration of the earth

Radius (r) of the Moon = 1737 Km

Escape velocity (v) =?

Next, we shall determine the gravitational acceleration of the Moon. This can be obtained as follow:

Gravitational acceleration of the earth = 9.8 m/s²

Gravitational acceleration of the Moon (g) = 0.25 times the gravitational acceleration of the earth

= 0.25 × 9.8 = 2.45 m/s²

Next, we shall convert 1737 Km to metres (m). This can be obtained as follow:

1 Km = 1000 m

Therefore,

1737 Km = 1737 Km × 1000 m / 1 Km

1737 Km = 1737000 m

Thus, 1737 Km is equivalent to 1737000 m

Finally, we shall determine the escape velocity of the rocket as shown below:

Gravitational acceleration of the Moon (g) = 2.45 m/s²

Radius (r) of the moon = 1737000 m

Escape velocity (v) =?

v = √2gr

v = √(2 × 2.45 × 1737000)

v = √8511300

v = 2917.4 m/s

Thus, the escape velocity is 2917.4 m/s

why do chemical reactions involve a change in energy​

Answers

         Why do chemical reactions always involve a change in energy?

The energy change in a chemical reaction is due to the difference in the amounts of stored chemical energy between the products and the reactants. This stored chemical energy, or heat content, of the system is known as its enthalpy.

You kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop what does this mean about the net force on the ball as it rolls across the field?

Answers

Answer:

It slowly decreases and the friction acting on it slowing it down becomes the bigger net force, if that makes sense :)

Explanation:

If you kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop, this means about the net force on the ball as it rolls across the field would decrease and finally would be less than the friction force.

What is Newton's second law?

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

As given in the problem if you kick a soccer ball across a field the ball travels across the field and slowly comes to a stop. Since the ball slowly comes to a stop.

Since the ball stops gradually, this implies that the net force exerted on it as it rolls over the field will eventually diminish until it is less than the friction force.

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6. Calculate Acceleration A person standing in a canoe
exerts a force of 700 N to throw an anchor over the
side. Find the acceleration of the canoe if the total
Applying Math
mass of the canoe and the person is 100 kg.

Answers

Answer:

force=700N

mass=100kg

acceleration =?

Now,

F=m×a

700=100×a

700÷100=a

7=a

acceleration =7m/s^2 answer!!!

hope this may help you !!!!

how to play 10 fingers claw on pubg mobiles?​

Answers

Not that simple but there are ways. Just make sure your hands can handle it
There’s no need to play pubg with 10 fingers thats just stupid...+ you can do lot better with 4 fingers only....MORE doesnt always means better

The sky on Earth is blue because blue light is scattered through the atmosphere as the other colors of light pass through undisturbed. Which nebulae have something similar going on?
A. Emission nebulae
B. Dark nebulae
C. Reflection nebulae
D. Planetary nebulae

Answers

Answer: B


Explanation:

The sky on Earth is blue because blue light is scattered through the atmosphere as the other colors of light pass through undisturbed. Dark nebulae  have something similar going on.

What is nebulae?

Nebulae are interstellar dust and gas clouds that get backlighting from stars both inside and behind them. The clouds are illuminated by the photons from these stars that are dispersed throughout them. A nebula does not generate most of the light that appears to come from it; rather, it reflects and refracted light.

A dark nebula, also known as an absorption nebula, is a form of interstellar cloud, particularly a molecular cloud, that is so dense that it absorbs all of the light from objects behind it, including emission or reflection nebulae and background stars, at visible wavelengths.

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Monica walks from +21 m to - 46 m along a stretched-out tape measure.

What is her total DISTANCE traveled? Include units.

What is her total
DISPLACEMENT? Include units.

Answers

Answer:

67 meters (distance) +67 meters (displacement)

Explanation:

21 - (-46) meters

= 21 + 46 meters

= 67 meters

Hope this helped!

Answer:

67m

67m

both dist and displacement are the same oz it is on the same line

Find the momentum of a 23.1 g bullet fired at 621 m/s.
a. 1.43×104 Ns
b. 26.9Ns
c. 2.69×10–2Ns
d. 14.3Ns

Answers

Answer:

d. 14.3 Ns

Explanation:

Mass of the bullet (m) = 23.1 g = 0.0231 kg

Speed of the bullet (v) = 621 m/s

Momentum (p) is measured as the product of mass of the body and it's speed.

Mathematical Representation/Equation of Momentum:

[tex] \boxed{ \bf{p = mv}} [/tex]

By using equation of momentum, we get:

[tex]\rm \longrightarrow p = 0.0231 \times 621 \\ \\ \rm \longrightarrow p = 14.3 \: kg \: m {s}^{ - 1} \\ \\ \rm \longrightarrow p = 14.3 \: Ns[/tex]

The momentum of a 23.1g bullet fired at 621 m/s is 14.3Ns.

HOW TO CALCULATE MOMENTUM:

Momentum is a product of an object's mass and velocity. That is, it can be calculated as follows:

Momentum (p) = mass (m) × velocity (v)

According to this question, a 23.1g bullet is fired at 621m/s. The momentum can be calculated thus:

Mass of bullet in kg = 23.1/1000 = 0.00231kg

Momentum (p) = 0.00231kg × 621m/s

Momentum = 14.34Ns

Therefore, the momentum of a 23.1g bullet fired at 621 m/s is 14.3Ns.

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Match the letter to the appropriate name of the variable

Answers

Based off what tho ?

Answer: yes

Explanation:

Which statement describes how electrical power is calculated?
A. Power is the product of current and resistance.
B. Power equals current divided by voltage,
o
C. Power is the product of voltage and current.
D. Power equals voltage divided by current.

Answers

Answer:

C) Power is the product of voltage and current.

Explanation:

A.pex, hope this helps:)

Answer:

The answer is C. Power is the product of voltage and current

Explanation:

I am currently taking the test right now. This is on A P E X for me.

1. The unit of power is called a derived unit, why?

Answers

Answer:

Because its depends upon fundamental units and formed by combination of two or more fundamental units.

3/50
How many joules of energy does a 100-watt light bulb use per hour? How fast would a 70-kg person have to run to have that amount of kinetic energy?
A
360000.J. 101 m/s
B
320000 J 130 m/s
C
380000 J 120. m/s
340000 J. 140 m/s​

Answers

Answer:

in the statement of account very seriously

A ball is thrown horizontally at a height of 2.20 meters at a velocity of 65.0 m/s. Assume no air resistance. How far did the ball travel horizontally when it hit the ground?

Answers

Well when u use the Pythagorean Theorem u get 23.4

If a  ball is thrown horizontally at a height of 2.20 meters at a velocity of 65.0 m/s. Assuming no air resistance, then the distance traveled by the ball horizontally when it hit the ground would be  43.55 meters.

What are the three equations of motion?

There are three equations of motion given by Newton,

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem If a ball is thrown horizontally at a height of 2.20 meters at a velocity of 65.0 m/s. Assume no air resistance.

S = ut + 1/2 × a × t²

2.2 = 0 + 0.5 × 9.8 ×  t²

t² = 2.2 / 4.9

t = 0.67 seconds

The horizontal displacement of the ball = 0.67 × 65

                                                                  = 43.55 meters

Thus, the distance traveled by the ball horizontally when it hit the ground would be  43.55 meters.

To learn more about equations of motion here, refer to the link given below ;

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Write the expression for the moment of force about a given axis of rotation.​

Answers

Answer:

hope it helps..

Explanation:

Moment of force about a given axis= Force x perpendicular distance of force from the axis of rotation.

Explanation:

Moment of force about a given axis= Force x perpendicular distance of force from the axis of rotation.

Just wondering, what do you guys think the 5th dimension is? I've always believed it to be light.

Answers

Answer: In the 5th dimension, they who claim to know, say that there is only one time, including the past and the future.

a vector is 253 m long and points in a 55.8 degree direction, what’s the y and x- component of the vector?

Answers

Well we know the hypotenuse of the triangle which is 253 m. And we know the angle of the triangle which is 55.8 degrees. So we want to find y. And to find y we use sin. And sin is a ratio, the ratio of the opposite leg, and hypotenuse. So sin(55.8) = y/253. Now we solve for y by multiplying both sides by 253. And finally we get 209.25 as the length of the y component.

Suppose the mass of the object below was to double. What would happen to the force needed to accelerate the object 10 m/s2?

Answers

Answer:

It would also double

Explanation:

F (force) = mass * acceleration; twice the mass means double tue force needed

The total mechanical energy of a system is 950 J and the gravitational potential energy is 350 J. What is the kinetic energy?​

Answers

Answer:

The kinetic energy is 600 J

Explanation:

Mechanical Energy

The principle of the conservation of mechanical energy states that the total mechanical energy in a system remains constant as long as the only forces acting are conservative forces.

The mechanical energy is defined as the sum of the potential plus kinetic energies:

E = U + K

Where E is the total mechanical energy, U is the gravitational potential energy and K is the kinetic energy.

Solving for K:

K = E - U

The system described has a total mechanical energy of E=950 J and gravitational potential energy of U=350 J, thus:

K = 950 J - 350 J

K = 600 J

The kinetic energy is 600 J

5. A small remote-controlled race car has a mass of 150 grams. If the car starting from rest can
reach its maximum velocity of 24 m/s in 4 seconds. What is the force of the race car's motor? (5
pts)

Answers

Answer:

0.9 N.

Explanation:

Mass (m) of car = 150 g

Initial velocity (u) = 0 m/s

Final velocity (v) = 24 m/s

Time (t) = 4 s

Next, we shall determine the acceleration of the car. This can be obtained as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 24 m/s

Time (t) = 4 s

Acceleration (a) =?

v = u + at

24 = 0 + (a × 4)

24 = 0 + 4a

24 = 4a

Divide both side by 4

a = 24 /4

a = 6 m/s²

Thus, the acceleration of the car is 6 m/s²

Next, we shall convert 150 g to Kg. This can be obtained as follow:

1000 g = 1 kg

Therefore,

150 g = 150 g × 1 Kg / 1000 g

150 g = 0.15 Kg

Thus, 150 g is equivalent to 0.15 Kg

Finally, we shall determine the force of the car as follow:

Mass (m) of car = 0.15 Kg

Acceleration (a) of car = 6 m/s²

Force (F) of car =?

F = m × a

F = 0.15 × 6

F = 0.9 N

Therefore, the force of the car is 0.9 N.

what was the rule of the sticks on each atom model​

Answers

Answer:

That they must die

Explanation:

Stick = Die

Answer: That they must die


Excellent

3. A traffic light has a total resistance of 22 kN and requires 10 mA of current to
operate. What is the voltage required to operate the traffic light?
Given: Resistance (R) = ____ KΩ × (1 000 Ω/1 K Ω) = ____ Ω

Current (I) = ____ mA × (1 A/ 1000 mA) = ____ A

Required: Voltage(V)
Solution: V = IR
V = (____ A) (____ Ω)
Answer: Voltage = ____ volt

I REALY NEED THE ANSWER​

Answers

Answer:

V = 220 [V]

Explanation:

In order to solve this problem we simply need to replace the given values of current and resistance in the expressions proposed.

R = 22 [kΩ] = 22000 [Ω]

I = 10 [mA] = 0.01 [A]

Voltage (V)

[tex]V = 0.01*22000\\V = 220 [V]\\[/tex]

what is the motion of a car​

Answers

Answer: Assuming you are driving a car on the road, consider the motion of the car. As the wheels of the car spin backwards, they push the road backwards. In consequence, the road must push the wheels forward according to the third law of motion. It is this reaction force acting on the wheels causes the car to move forward.

Explanation: hope this helps!

in a star nuclear fusion occurs in the
A. corona
b. photosphere
c. core
d. radiative zone

Answers

Answer:

C. Core

Explanation:

Please view image attached!

Answers

Answer:

you would expect a change in the graph

Explanation:

can you please help me!!!

Answers

Answer:

needle

Explanation:

At the top of a projectile's path above Earth, the acceleration of an object

Answers

Answer: At the top of a projectile's path above earth, the acceleration of an object. Compared to the range of a bullet shot horizontally, a bullet shot at a 30 degree angle.

Explanation: I hope that helped!

State the career function of production engineering​

Answers

Answer:

Production Engineering defines and works out how the product will be manufactured and/or assembled on the production line including design of packaging, ensuring the right quantity of components/products are delivered and aligned to support the speed of the production line.

Explanation:

Answer:

Production Engineers are responsible for supervising and improving production at plants and factories. They support engineering teams, draw up safety protocols, report issues to the Manager, and develop strategies to improve efficiency and profit.

Explanation:

A sound wave is an example of a __________ wave. It requires a _________ to transfer energy.



Question 3 options:

medium, transverse


transverse, medium


longitudinal , medium


medium, longitudinal

Answers

Answer:

its A

Explanation:

A car was traveling at 45 m/s toward a traffic signal when the light suddenly changed from green to red. The driver slams on the brakes, stopping the car in 3.3 seconds. a. What is the acceleration of the car? b. How far did the car travel before it came to a stop

Answers

Answer:

Acceleration =13.63m/s^2

initial velocity = v = 45

final velocity = u = 0

acceleration = v-u/t

Rachel is feeling ill. Which symptom indicates that Rachel's illness is related to her ear and that she should consult a doctor? tooth sensitivity neck or jaw pain sensitivity to light loss of balance

Answers

Answer:

light loss of balance

Explanation:

it makes the person who is ill unstable

Light loss of balance symptom indicates that Rachel's illness is related to her ear and that she should consult a doctor.

What are the symptoms of illness related to ear?

A physical or psychological issue that a person has that could be a sign of an illness or condition is known as symptom. Symptoms are invisible and do not appear on diagnostic tests.

symptoms of illness related to ear in child  include:

ache in the ears, particularly when sleeping downgrabbing an ear or pulling itdifficulty sleeping excessive cryingFussinessdifficulty hearing or recognizing soundsloss of balancea fever of at least 100 F (38 C).fluid coming out of the earHeadachereduced appetite

Adults typically exhibit the following signs and symptoms in illness related to ear:

ear discomfortan ear infection fluid drainage hearing issues

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