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

A ball is dropped from a height of 50 meters above the ground. What is its velocity the moment it hits the ground?

Answers

Answer:

The distance is 45m. (s)

Acceleration is 9.8 m/s^2 (acceleration due to gravity). (a)

We have to find the time (t)

By the 3rd equation of motion,

s = ut + 1/2 at^2 (here u is the initial velocity of the ball)

Since the initial velocity was 0 m/s, the formula becomes s = 1/2 at^2.

(substituting the values in the formula)

45 = 1/2 x 9.8 x t^2

45 = 9.8/2 x t^2

45 = 4.9 x t^2 (9.8/2 = 4.9)

(divide 4.9 on both sides)

45/4.9 = 4.9 x t^2 / 4.9

9.1836 = t^2

3.030 = t

So it takes approximately 3 seconds for the ball to reach the surface of the earth (neglecting air resistance). You can try the same with 50 m .

The velocity of the ball the moment it hits the ground is equal to 31.3 m/s.

What is the equation of motion?

Equation of motion has established a relation between the velocity of the body and acceleration of the body when the body is moving with uniform acceleration along a straight line. The distance traveled in a specific time has expressed a set of equations termed equations of motion.

The first equation of motion can be expressed as follows:

v = u + at

The second equation of motion can be expressed as follows:

S= ut + (1/2)at²

Where u is the initial velocity of a body, v is the final velocity, S is the distance, a is the acceleration and t is the time.

Given, the distance traveled by the ball, S = 50 m

and, the initial velocity of the ball, u = 0 as ball is at rest initially.

From the second equation of motion, find the value of 't':

50 = (0) t + (1/2)× (9.8) ×(t²)

t = 3.19 sec

Now from the first equation of motion, find the value of the final velocity of the ball:

v = (0) + (9.8) (3.19)

v = 31.3 m/s

Therefore, the ball hits the ground with a velocity of 31/3 m/s.

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State one way to decrease the moment of a given force about a given axis of rotation.​

Answers

Answer:

The moment of a given force about a given axis of rotation can be decreased by decreasing the perpendicular distance of force from the axis of rotation.

Answer:

hope it helps...

Explanation:

The moment of a given force about a given axis of rotation can be decreased by decreasing the perpendicular distance of force from the axis of rotation.

A complex arrangement of pulleys forms what is called the block in a block and tackle. The rope used to lift the pulleys and the load is the tackle. A block and tackle is used to lift a truck engine, which has a weight and output force of nearly 8000 N. The input force required to lift this weight using the block and tackle is 400N. What is the mechanical advantage of the block and tackle?

Answers

Answer:

Mechanical advantage = 20

Explanation:

Given:

Output force = 8,000 N

Input force = 400 N

Find:

Mechanical advantage

Computation:

Mechanical advantage = Output force / Input force

Mechanical advantage = 8,000 / 400

Mechanical advantage = 20

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!

A cow standing atop a building in Times Square recalled a funny joke and began to laugh. The uncontrollable laughter caused the cow to fall over the side of the building. He fell for a time period of 3.5 s and landed in a bed of bushes. How fast was the cow moo-ving when he reached the bushes?

Which equation should be used to solve the problem?

Answers

Answer:

Vf = 34.3 m/s

1st equation of motion was used to solve.

Explanation:

In order to find the final speed of the cow, when it hits the bushes, we can use first equation of motion:

Vf = Vi + gt

where,

Vf = Final Velocity of Cow = ?

Vi = Initial Velocity of Cow = 0 m/s

g = acceleration due to gravity = 9.8 m/s²

t = time taken = 3.5 s

Therefore,

Vf = 0 m/s + (9.8 m/s²)(3.5 s)

Vf = 34.3 m/s

1st equation of motion was used to solve.

if a truck goes 30 kilometers in 30 minutes what is the average speed ​

Answers

Answer:

60 km per hour

Explanation:

if you drive for 30 min and go 30km then if you drive for 60 min(1hr) then you would have driven 60km.

Answer:

60

Explanation:

hope this helps

how can we calculate acceleration in motion which is not uniform or uniformly accelerated​ please help tell me another formula to calculate acceleration

Answers

Answer:

These are some of the ones I found or know of.

Explanation:

F=ma

A= v-u/t

A= v^2/r

Which of the following best describes the velocity of an object? *
8 points
A. 30 m/s
B. 30 m to the East
C. 30 m/s to the East
D. 30 m

Answers

A. 30 m/s . . . speed

B. 30 m to the East  . . . displacement

C. 30 m/s to the East  . . . velocity

D. 30 m . . . distance

A roller coaster with a potential energy of 235,200 J sits at the top of a 30 m high hill. What is the mass of the roller
coaster? (Formula: PE = mgh)
O 800 kg
O 7,840 kg
O 8,000 kg
O 78,400 kg

Answers

Answer:

800 kg

Explanation:

I just did it :)

The photo shows two yeast cells. Each cell is an individual organism. Which sentence best describes what happened to each cell during cell growth?


A. It will become many different cells.

B. It will produce offspring with a mate.

C. It will divide in half to form two new cells.

D. It will become larger by taking in nutrients.

Answers

The answer is option c - It will divide in half to form two new cells..

Explanation:

The sentence that best describes what happened during cell growth is ;

( D ) It will become larger by taking in nutrients

As the yeast cells begin to grow ( i.e. cell growth ), they will require more nutrients and as they take in the necessary nutrients they will gradually increase in size ( becoming larger ) which is a vital sign of cell growth and development, which will be seen in the yeast cells as they undergo cell growth.

The production of offsprings with a mate does not describe an activity that occurs in cell growth.  

Hence we can conclude that The sentence that best describes what happened during cell growth is, It will become larger by taking in nutrients.

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Definition of uniform speed​

Answers

Answer:

Uniform Speed: A body is said to be moving with uniform speed, if it covers equal distances in equal intervals of time. Variable Speed: A body is said to be moving with variable speed if it covers unequal distances in equal intervals of time.

Explanation:

I got it from google

Answer:

Speed is a measure of how fast an object is moving at a given instant of time. It is a scalar quantity. Its unit is m/s. For a body covering equal distances in equal time intervals, the speed is called uniform speed.

Explanation:

Anyone play Among US?

Answers

Answer:

Yes

Explanation:

Its a good game.

Answer:

oof

Explanation:

In a container of negligible mass, 0.0400 kg of steam at 100∘C100 ∘ C and atmospheric pressure is added to 0.200 kg of water at 50.0∘C50.0 ∘ C.
(a) If no heat is lost to the surroundings, what is the final temperature of the system?
(b) At the final temperature, how many kilograms are there of steam and how many of liquid water?

Answers

A - 100 C°
B - 0.0214 kg and 0.219 kg

Hope this helped out! Have a nice day :)

If no heat is lost to the surroundings, the final temperature of the system is 100 C°,  At the final temperature, 0.0214 kg and 0.219 kg kilograms are there of steam and how many of liquid water

What is heat ?

heat can be defined as the form of energy that is spontaneously transferred from one object to another object as the differences in temperatures is otherwise called as heat transfer.

The Heat transfer occurs  upto the  equilibrium point of an object has been reached.

Internal Energy is the total amount of energy of all the molecules of a body is the internal energy within the object.

Specific Heat or heat capacity, is   the amount of energy required to produce a unit change in its temperature.

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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

What does the triangle mean in physics?

Answers

Triangle is a mathematical symbol which the notes change in a quantity.

It is called Delta.

So Delta V=final velocity (-) minus initial velocity, delta T = time during the final velocity (-) during the initial velocity was recorded.

In physics, the triangle symbol (∆) typically represents a change or difference in a particular quantity.



A triangle is often used to denote the difference between two values of a variable. For example, if we have two values of time, t1 and t2, the change or difference in time can be represented as Δt = t2 - t1, where Δt is the triangle symbol indicating the change in time. Similarly, it can be used to represent differences in other physical quantities such as displacement (∆x), velocity (∆v), or temperature (∆T). The triangle symbol (∆) is a shorthand notation commonly used in physics to indicate changes or differences.

In terms of change in displacement, the triangle symbol (∆) represents the difference between two positions or locations. It indicates the change in the object's position from an initial point to a final point.

For example, if an object initially starts at position x1 and then moves to position x2, the change in displacement (∆x) can be calculated as ∆x = x2 - x1. Here, ∆x represents the difference or change in the object's displacement.

The magnitude of ∆x gives the overall distance traveled by the object, and its sign indicates the direction of the displacement. A positive ∆x signifies a displacement in the positive direction (e.g., to the right or upward), while a negative ∆x represents a displacement in the negative direction (e.g., to the left or downward).

Therefore, The triangle symbol (∆) is commonly used in physics equations to denote changes or differences in various quantities, including displacement, velocity, time, and more. It helps us analyze and quantify the differences between two values of a physical quantity.

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state three ways of conserving energy​

Answers

energy drinks

sitting

watching TV

Answer:

use natural lights

turn off electrical appliances..if not in use

check your wires every next Month

Can two spheres of different diameters and different
masses have the same moment of inertia?

Answers

Answer:

NO

Explanation:

I=mr^2 this means moment inertia depends upon mass and square of radius or distance.

Un prisma rectangular de cobre, de base igual a 36 centímetros cuadrados y una altura de 10 cm se sumerge hasta la mitad por medio de un alambre en un recipiente que contiene alcohol ¿que volumen de alcohol desaloja?

Answers

La respuesta correcta es 180 centímetros cúbicos o 180 [tex]cm^{3}[/tex]

Explicación:

El primer paso para saber cuanto alcohol desaloja el prisma es calcular el volumen total del prisma. El volumen se puede encontrar usando la formula V (Volumen) = B (base) x h (altura). El proceso se muestra a continuación:

V  = B x h

V = 36 [tex]cm^{2}[/tex] x 10 cm

V= 360 [tex]cm^{3}[/tex]

Finalmente, el volumen total del prisma debe dividirse en 2 considerando que solo la mitad del prisma fue sumergida y esta mitad equivale al volumen del alcohol desplazado.

360 [tex]cm^{3}[/tex] ÷ 2 = 180 [tex]cm^{3}[/tex]  

El volumen de fluido desplazado es de 180 cm^3.

Sabemos que el objeto va a desplazar su propio volumen de fluido. Por lo tanto, necesitamos obtener el volumen del objeto a, este es el volumen del fluido que eventualmente será desplazado por el sólido.

El volumen del sólido es;

V = 36 cm^2 * 10 cm^2 = 360 cm^3

desde que se sumergió a la mitad, volumen de alcohol desplazado = 360 cm^3/2 = 180cm^3

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1. A ball is thrown straight up.if the launch velocity is 15 m/s, at what velocity will the ball return to the thrower's hand?

2. A boat moves across a river going 18 m/s. At the same time there is a current flowing at a right angle to the boat at 6 m/s. What is the resulting velocity of the boat?​

Answers

Answer:

1) The velocity of the ball return to the thrower's hand is -15 meters per second.

2) The resulting velocity of the boat is [tex]\vec v_{B} = 6\,\hat{i}+18\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

Explanation:

1) Let suppose that ball experiments a free fall, that is an uniform accelerated motion, in which effects from gravity and Earth's rotation can be neglected. The velocity of the ball is represented by the following equations of motion:

Position

[tex]v_{o}\cdot t -\frac{1}{2}\cdot g\cdot t^{2} = 0[/tex]

[tex]t\cdot \left(v_{o}-\frac{1}{2}\cdot g\cdot t \right) = 0[/tex] (1)

Velocity

[tex]v = v_{o}-g\cdot t[/tex] (2)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v_{o}[/tex] - Initial velocity of the ball, measured in meters per second.

[tex]v[/tex] - Final velocity of the ball, measured in meters per second.

From (1), we get the time when the ball returns to the thrower's hand:

[tex]v_{o}-\frac{1}{2}\cdot g\cdot t = 0[/tex]

[tex]t = \frac{2\cdot v_{o}}{g}[/tex]

And then we apply this result in (2):

[tex]v = v_{o}-g\cdot \left(\frac{2\cdot v_{o}}{g} \right)[/tex]

[tex]v = -v_{o}[/tex] (3)

Then, the velocity of the ball return to the thrower's hand is -15 meters per second.

2) The resulting velocity of the boat ([tex]\vec v_{B}[/tex]) is represented by the vectorial sum of the velocity of the boat relative to the river ([tex]\vec v_{B/R}[/tex]) and the velocity of the river ([tex]\vec v_{R}[/tex]), both measured in meters per second, that is:

[tex]\vec v_{B} = \vec v_{R}+\vec {v}_{B/R}[/tex] (4)

If we know that [tex]\vec v_{R} = 6\,\hat{i}\,\left[\frac{m}{s} \right][/tex] and [tex]\vec v_{B/R} = 18\,\hat{j}\,\left[\frac{m}{s} \right][/tex], then the resulting velocity of the boat is:

[tex]\vec v_{B} = 6\,\hat{i}+18\,\hat{j}\,\left[\frac{m}{s} \right][/tex]

The resulting velocity of the boat is [tex]\vec v_{B} = 6\,\hat{i}+18\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

(NEED HELP ASAP)
In a lab investigation one group of students (group a) measures the speed of a 0.1 toy car to be 2.5 m/s at the bottom of a ramp another group of students (group b) measures the speed of the car to be 3 m/s at the bottom of the ramp the cars starting position at the top of the ramp is 1 m high.

a. what is the potential energy of the car at the beginning of the experiment before it's speed is measured?

b. Calculate the kinetic energy of the car for group a.

C. Calculate the kinetic energy for the car for group b.

Answers

Answer:

a = 0.98J

Explanation:

PE = mgh

PE = 0.1 x 9.8 x 1

PE = 0.98J

(a) The potential energy of the car at the beginning of the experiment is 9.8(m) J.

(b) The kinetic energy of the car for group a is 3.125(m) J.

(c) The kinetic energy of the car for group b is 4.5(m) J.

Potential energy of the car at the beginning of the experiment

The potential energy of the car is calculated as follows;

P.E = mgh

where;

m is mass of the carg is accleration due to gravityh is height of the car

P.E = m x 9.8 x 1

P.E = 9.8(m) J

Kinetic energy of the car for group a

K.E = ¹/₂mv²

K.E = ¹/₂ x m x (2.5)²

K.E = 3.125(m) J

Kinetic energy of the car for group b

K.E = ¹/₂mv²

K.E = ¹/₂ x m x (3)²

K.E = 4.5(m) J

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By using electroscope, if the body is negatively charged then due to electrostatic induction, then on the leaves there will be appear:
(a) both positive and negative charges
(b) negative charge
(c) positive charge
(d) no charge

Answers

(b) negative charge

This is the answer

it should be

B)Negative charge

Hope this one helped

A skier rides horizontally off of a 200 meter high cliff. If he lands 25 meters away from the base of the cliff, how fast was he skiing as he went off the edge?

A. 0.91 m/s
B. 2.91 m/s
C. 3.91 m/s
D. 25.91 m/s

Answers

Answer:

the answers, the correct one is C,   v₀ₓ = vₓ = 3.91 m / s

Explanation:

This is a projectile launching exercise, in this case they indicate that when leaving the cliff it goes horizontally, therefore the initial vertical speed is zero, let's find the time to reach the base

        y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

at the base the height is zero (y = 0 m)

        0 = y₀ + 0 - ½ g t²

         t = √ (2y₀ / g)

         

we calculate

        t = √ (2 200 / 9.8)

        t = 6.389 s

with this time we calculate the horizontal speed

        v₀ₓ = x / t

        v₀ₓx = 25 / 6,389

        v₀ₓ = vₓ = 3.91 m / s

When checking the answers, the correct one is C

A motorcyclist sees a branch in the road and hits the brakes, slowing down at -6.42 m/s. if it takes him 2.85 seconds to stop, what was his starting velocity?

Answers

Use the definition of average acceleration:

a = ∆v / t

If v is the starting speed, then ∆v = 0 - v, so solve for v :

-6.42 m/s² = (0 - v) / (2.85 s)

v = (6.42 m/s²) (2.85 s)

v ≈ 18.3 m/s

If you walk 6mph how far would you get in 10 seconds?

Answers

Answer:

0.017

Explanation:

6÷3600×10=

6÷360=0.00166666666

=0.017(rounded)

Answer:

The answer is 1 mile in 10 minutes

Which statement describes the interaction between the permanent magnets and the electromagnet in an electric motor? A. The current in the electromagnet is reversed by the permanent magnets B. The current in the permanent magnets is reversed by the electromagnet C. The poles of the permanent magnets are reversed by the electric field of the electromagnet. D. The metal loop in the electromagnet turns because of the magnetic field of the permanent magnets​

Answers

Answer:D

Explanation:AP3X

The statement describes the interaction between the permanent magnets and the electromagnet in an electric motor is option D.

What is magnet?

A substance which is negative charged at one end and positive charged at another end creating the magnetic field around it.

A bar is a magnet which can attract the particle which are charged. It has two poles North and South.

The permanent magnet create magnetic field very strong. The electromagnet is find in the electric motor. In the motor, loop made up of conductor is rotated by the effect of magnetic field of permanent magnet.

Thus, the correct option is D.

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Alex wants to take a small road trip over the weekend, but
needs to be back before Monday. He travels 450 miles and
it takes him 9 hours. What unit of measurement should
Alex be measuring his speed with

Answers

Answer:

Miles is the distance unit. Hours is the time unit.

Explanation:

Melissa my pet cow from childhood that i could ride like a horse had a weight of 0.65 tons. Philip my pet rabbit had a weight of 192 ounces. How many philips would it take to weigh as much as one melissa

Answers

Answer:

11 times the weight of Philip.

Explanation:

From the question given above, the following data were obtained:

Weight of Melissa (i.e cow) = 0.65 tons

Weight of Philip (i.e rabbit) = 192 ounces

Next, we shall express the weight of Philip (i.e the rabbit) in tons. This can be obtained as follow:

1 ounce = 3.125×10¯⁵ ton

Therefore,

192 ounce = 192 ounce × 3.125×10¯⁵ ton / 1 ounce

192 ounce = 0.06 ton

Thus, the weight of Philip (i.e the rabbit) in ton is 0.06 ton.

Next, we shall determine the ratio of the weight of Melissa (i.e the cow) to the weight of Philip (i.e the rabbit). This can be obtained as follow:

Weight of Melissa (i.e cow) = 0.65 ton

Weight of Philip (i.e rabbit) = 0.06 ton

Melissa /Philip = 0.65/0.06

Melissa /Philip = 11

Melissa = 11 × Phillip

Thus, it will take 11 times the weight of Philip to weigh as much as Melissa.

PLSSSS HELPPP What effects do mutations have? Check all that apply.

A) could change protein shape
B)never change protein shape
C)might be neutral
D)always change the way a trait is observed
E)might be harmful
F)might be beneficial

Answers

Answer:

E, F, A, C

Explanation:

They cannot change the way a trait is observed

Mutations could change protein shape(A), could cause genetic disorders and harm you(E), could actually be beneficial and cause adaptations to your environment(F), or they could be neutral in which no changes are observantly notable(C).

Hope this helps

While the boys were playing baseball, one of the boys decides to kick his soccer ball high into the air. As the ball goes upward, which type of energy is increasing?
A.) Kinetic Energy
B.) Thermal Energy
C.) Potential Energy
D.) Mechanical Energy​

Answers

A.) Kinetic energy is the answer

My Lou Vee Air Car's propeller rotates, but it does not move the car forward. Can someone please help?? This is due on Monday!

Answers

Answer:

The force to get the plane moving, and to balance the friction so it does not stop, is provided by the propeller. However, the wheels provide the acceleration of the car.

Explanation:

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