A slingshot consists of a light leather cup containing a stone. The cup is pulled back against two parallel rubber bands. It takes a force of 15 N to stretch either one of these bands 1.0 cm. (a) What is the potential energy stored in the two bands together when a 58-g stone is placed in the cup and pulled back 0.10 m from the equilibrium position?

Answers

Answer 1

Answer:

the potential energy stored in two bands is 15J

Explanation:

The computation of the potential energy stored in two bands is as follows:

Given that

F = 15N

x = -1.00 m = -0.01m

F = -kx

k = -F ÷ x

= 15N ÷ 0.01m

= 1,500 N/m

Now the potential energy would be

= 1,500N/m × (-0.10m)^2

= 15J

hence, the potential energy stored in two bands is 15J

The same is to be considered


Related Questions

Waves that hit a fixed boundary return to the starting point on the____
side that it began

A.Opposite

B.same

Answers

Answer:

A: Opposite

Explanation:

From Newton's third law of motion, to every action there is an equal an opposite reaction. Thus, when the wave hits a fixed boundary, it is returned as a reflected wave to the starting point albeit on the other side.

A person throws a pumpkin at a horizontal speed of 4.0 m/s off a cliff. The pumpkin travels 9.5m horizontally before it hits the ground.

Answers

Answer:

The pumpkin's vertical displacement  is H=27.76m

The pumpkin's vertical velocity when it hits the ground is v=23.32m/s

Explanation:

x=v*t

9.5=4*t

t=2.38s

H=vi(t)+1/2at^2

H=1/2at^2

H=1/2(9.8)(2.38)^2=27.76

vf=vi+at

vf=2.38(9.8)

vf=23.32m/s

             

           

If a force does a negative amount of work on an object, does the object's speed increase, decrease, or remain the same? Justify your answer.

Answers

Answer:

if a force does a negative amount of work on an object ,so the speed of the object got  decrease  ,because the acceleration  becomes negative  so if the acceleration becomes negative so the speed is decreased.

Explanation:

Energy Conservation With Conservative Forces: If a spring-operated gun can shoot a pellet to a maximum height of 100 m on Earth, how high could the pellet rise if fired on the Moon, where g

Answers

Answer:

h' = 603.08 m

Explanation:

First, we will calculate the initial velocity of the pellet on the surface of Earth by using third equation of motion:

2gh = Vf² - Vi²

where,

g = acceleration due to gravity on the surface of earth = - 9.8 m/s² (negative sign due to upward motion)

h = height of pellet = 100 m

Vf = final velocity of pellet = 0 m/s (since, pellet will momentarily stop at highest point)

Vi = Initial Velocity of Pellet = ?

Therefore,

(2)(-9.8 m/s²)(100 m) = (0 m/s)² - Vi²

Vi = √(1960 m²/s²)

Vi = 44.27 m/s

Now, we use this equation at the surface of moon with same initial velocity:

2g'h' = Vf² - Vi²

where,

g' = acceleration due to gravity on the surface of moon = 1.625 m/s²

h' = maximum height gained by pellet on moon = ?

Therefore,

2(1.625 m/s²)h' = (44.27 m/s)² - (0 m/s)²

h' = (1960 m²/s²)/(3.25 m/s²)

h' = 603.08 m

A marble rolls off of a table that is 0.97 meters tall with a velocity of 1.87 m/s. How long
does it take the marble to hit the floor?
O 0.44 seconds
O 0.98 seconds
O 0.39 seconds
O 0.52 seconds

Answers

It’s the last one
Good luck
God bless you

A scientist heated a tank containing 50 g of water. The specific heat of water is 4.18 J/gºC. The temperature of the water increased from 25ºC to 37ºC. How much heat energy did the water absorb?

1: 2,508 joules
2: -2,508 joules
3: 5,225 joules
4: 7,733 joules

Answers

Answer: a) 2,508

Explanation:

A heat engine receives 6000 J of heat from its combustion process and loses 4000 J through the exhaust and friction. What is its efficiency

Answers

Answer:

The efficiency of the heat engine is 33.33%.

Explanation:

Given;

input energy of the heat engine, = 6000 J

energy lost by the heat engine, = 4000 J

output energy of the heat engine = 6000 J - 4000 J = 2000 J

The efficiency of the heat engine is given as;

Efficiency = output energy / input energy

Efficiency = 2000 / 6000

Efficiency = 0.3333

Efficiency (%) = 33.33%

Therefore, the efficiency of the heat engine is 33.33%.

Problem 7:esvoe71017425b601f756a59bc7b76d2f39502730941492c25f1dd66c7ed01e4bb38ceovse 0N86-C1-52-40-A837-22820 If object A is twice the mass of object B what can be said about their kinetic energies just as they hit the ground

Answers

Answer:

the kinetic energy of A will be twice that of B

Explanation:

The formula for calculating kinetic energy is expressed using the formula

KE = 1/2mv²

m is the mass of the object

v is the velocity

For object A:

KEA = 1/2mAvA²

For object B:

KEB = 1/2mBvB² ... 1

If object A is twice the mass of object B, then mA = 2mB

From 1:

KEA = 1/2mAvA²

Substitute mA = 2mB

KEA = 1/2(2mB)vA² .... 2

Divide 1 by 2

KEB/KEA = 1/2mBvB²/mBvA²

KEB/KEA = 1/2vB²/vA²

Assuming they have the same velocities then vA ,= VB

The equation becomes:

KEB/KEA = 1/2vB²/vA²

KEB/KEA = 1/2vB²/vB²

KEB/KEA = 1/2

KEA = 2EB

Hence the kinetic energy of A will be twice that of B

Waves that hit a fixed boundary return to the starting point on the ____
side that it began


opposite
same

Answers

Answer:

Opposite

Explanation:

Waves that hit a fixed boundary return to the starting point on the opposite side that it began.

After striking, the wave gets reflected and it moves in the direction opposite to the initial direction.

Hence, it would mean that waves that hit a fixed boundary return to the starting point on the opposite direction.

Points P and Q are located at (0, 2, 4) and (-3, 1,5). Calculate

a) The position vector of P

b) The distance vector from P to Q

c) The distance between P and Q

d) A vector parallel to PQ with magnitude of 10​

Answers

Answer:

a) The position vector of P is [tex]\vec P =(0, 2,4)[/tex].

b) The distance vector from P to Q is [tex]\overrightarrow{PQ} = (-3,-1,1)[/tex].

c) The distance between P and Q is [tex]\|\overrightarrow{PQ}\|=\sqrt{11}[/tex].

d) A vector parallel to PQ with magnitude of 10 is [tex]\vec v = \left(-\frac{30\sqrt{11}}{11},-\frac{10\sqrt{11}}{11}, \frac{10\sqrt{11}}{11} \right)[/tex].

Explanation:

a) The position vector of a point is the vector displacement from the origin to the location of the point. That is:

[tex]\vec P = (0,2,4)-(0,0,0)[/tex]

[tex]\vec P = (0-0, 2-0, 4-0)[/tex]

[tex]\vec P =(0, 2,4)[/tex]

The position vector of P is [tex]\vec P =(0, 2,4)[/tex].

b) First, we calculate the position vector of point Q:

[tex]\vec Q = (-3,1,5)-(0,0,0)[/tex]

[tex]\vec Q = (-3-0,1-0,5-0)[/tex]

[tex]\vec Q =(-3,1,5)[/tex]

The distance vector from P to Q is define by the following vectorial expression:

[tex]\overrightarrow{PQ} = \vec Q - \vec P[/tex] (1)

[tex]\overrightarrow{PQ} = (-3,1,5)-(0,2,4)[/tex]

[tex]\overrightarrow{PQ} =(-3-0,1-2,5-4)[/tex]

[tex]\overrightarrow{PQ} = (-3,-1,1)[/tex]

The distance vector from P to Q is [tex]\overrightarrow{PQ} = (-3,-1,1)[/tex].

c) There are two approaches to calculate the distance between P and Q:

First Method - Pythagorean Theorem:

[tex]\|\overrightarrow{PQ}\| = \sqrt{(-3)^{2}+(-1)^{2}+1^{2}}[/tex]

[tex]\|\overrightarrow{PQ}\|=\sqrt{11}[/tex]

Second Method - Dot Product:

[tex]\|\overrightarrow{PQ}\| = \sqrt{\overrightarrow{PQ}\,\bullet\,\overrightarrow{PQ}}[/tex] (2)

[tex]\|\overrightarrow{PQ}\| = \sqrt{(-3,-1,1)\,\bullet (-3,-1,1)}[/tex]

[tex]\|\overrightarrow{PQ}\|=\sqrt{11}[/tex]

The distance between P and Q is [tex]\|\overrightarrow{PQ}\|=\sqrt{11}[/tex].

d) To determine a vector parallel to PQ with a given magnitude is determined by the following expression:

[tex]\vec v = \frac{k}{\|\overrightarrow{PQ}\|} \cdot \overrightarrow{PQ}[/tex] (3)

Where [tex]k[/tex] is the scale factor.

If we know that [tex]\overrightarrow{PQ} = (-3,-1,1)[/tex], [tex]\|\overrightarrow{PQ}\|=\sqrt{11}[/tex] and [tex]k = 10[/tex], then the vector is:

[tex]\vec v = \frac{10}{\sqrt{11}}\cdot (-3,-1,1)[/tex]

[tex]\vec v = \left(-\frac{30}{\sqrt{11}},-\frac{10}{\sqrt{11}},\frac{10}{\sqrt{11}}\right)[/tex]

[tex]\vec v = \left(-\frac{30\sqrt{11}}{11},-\frac{10\sqrt{11}}{11}, \frac{10\sqrt{11}}{11} \right)[/tex]

A vector parallel to PQ with magnitude of 10 is [tex]\vec v = \left(-\frac{30\sqrt{11}}{11},-\frac{10\sqrt{11}}{11}, \frac{10\sqrt{11}}{11} \right)[/tex].

Please help which letter goes where ?

Answers

Answer:

See list below

Explanation:

5. positively charged particles : D

6. dense center of the atom: C

7. negatively charged particles: A

8. articles with NO charge: B

WHO WANts TO HAVE SOME GLIZZY ACTION

Answers

bruh huh.............

What is Intracellular communication

Answers

Answer:

Intercellular communication refers to the communication between cells. Membrane vesicle trafficking has an important role in intercellular communications in humans and animals, e.g., in synaptic transmission, hormone secretion via vesicular exocytosis.

What is the velocity of the boat if the passenger shoots at an angle 60 with horizontal ? The mass of boat with the passenger is 100 kg ,mass of the bullet is 35g and its velocity is 400 m/s. <3

Answers

Answer:

400cos(60) = 200m/s

100(v) = 0.035(200)

v= 0.07m/s

what is simple machine? write any four advantages if it ​

Answers

Answer: See explanation

Explanation:

Simple machine is a machine that has few moving parts or may also have no moving parts and they are usually used to make ones work easier. Examples include wheel and axle, wedge, pulley, lever, screw or an inclined plane.

Their advantages include:

• Less energy is required to perform a particular work.

• It makes work easier.

• It makes work faster.

• Simple machine enable one to do things that might have been difficult to achieve or do.

what is the secret of a delightful pastry​

Answers

Answer:

✨ love ✨

words words words words words words words words words words words

Answer:

butter

Explanation:

You are planning a bicycle trip for which you want to average 24 km/h. You cover the first half of the trip at an average speed of 21 km/h. What must your average speed be in the second half of the trip to meet your goal?

Answers

Answer:

27km/h that's the answer

If you had to choose one device to use with the battery, what would it be? Do you think such a battery could be invented
someday? Explain

Answers

Answer:

I would choose refrigerator.

Explanation:

In my opinion, such a battery could be invented by changing the device as a low power mode. Plus, it is a must in order to decrease the CFC gas spreading through the atmosphere. That's all, thank you.

Write down the formula of expansion

Answers

Answer:

well for me it's

Explanation:

L2-L1/L1(O2-O1)

O is the change in temperature

as water warms on the stove, what is happening to the molecules in the liquid?​

Answers

Answer:

The water molecules start moving faster.

Explanation:

As the water is heated, the water molecules absorb heat and moves faster. The longer the water is kept on the stove, the more heat and kinetic energy the molecules gain. Soon, the hydrogen bonds break down completely because of the high kinetic energy and the water molecules escape into the air as gas.

The temperature that causes this to happen is known as the boiling point.

Focusing on irelevant information can negatively impact the ability to reason and problem solve effectively.

Answers

Answer:

true

Explanation:

Why does the transition of light waves from water to air make it seem as if fish and other things in a pond are shallower than they actually are?

Answers

Answer:

When light gets in contact with water, it emerges into the air, and then it speeds up, which makes it look shallower than it actually is.

Explanation:

Answer:

Refraction

Explanation:

Light rays reflected from the fish are refracted at the surface of the water, but the eyes and brain trace the light rays back into the water as thought they had not refracted, but traveled away from the fish in a straight line. This effect creates a "virtual" image of the fish that appears at a shallower depth.

Define the Element of Art, value. If you were using a pencil, how would you create a darker value?

Answers

Elements of art are stylistic features that are included within an art piece to help the artist communicate. The seven most common elements include line, shape, texture, form, space, colour and value, with the additions of mark making, and materiality.

You would create a darker value if you shaded it, shading it makes it darker.

What is Newton 2nd law

Answers

Answer:

Newton's second law states that the acceleration of an object is directly related to the net force and inversely related to its mass.

as speed increases, what happens to potential energy ?

Answers

Answer:

As the Speed increases , the potential energy decreases

Answer:

Since the object only has so much total internal energy, and the faster an object moves the larger the kinetic energy is, hence the potential energy will decrease as a result of speed increasing.

Explanation:

Hope this helped!

a car drives under a bridge. as it passes underneath a man jumps down onto the top of the car. the man and the car continue moving together. what type of collision is this?

Answers

Answer:

Inelastic collision.

Explanation:

Because both the momentum of the man and that of the car, is conserved because they are both moving with the same velocity.

Also kinetic energy is not conserved because the car moved with different kinetic energy, as well as the man.

When they came into contact, the final kinetic energy is different from the initial kinetic energy.

Answer:

perfectly inelastic

Explanation:

what type of kinetic energy does flowing water have?
-rotational
-vibrational
-translational
-chemical

Answers

Answer:

none it's Hydroelectric energy

Determine the force P required to maintain the 200-kg engine in the position for which θ = 30°. The diameter of the pulley at B is negligible.

Answers

Answer:

The force P required  is 1759.22 N

Explanation:

The missing diagram is seen in the first image below.

From the second image, we can see the schematic diagram of the engine hanging over the pulley.

To start with determining the value of the angle ∝;

[tex]tan \ \alpha = \dfrac{CD}{BD}[/tex]

where;

BD = AB-AD

Then;

[tex]tan \ \alpha = \dfrac{CD}{AB-AD}[/tex]

[tex]\alpha = tan^{-1} \bigg(\dfrac{CD}{AB-AD} \bigg )[/tex]

replacing their respective values, where;

CD = 2 sin 30° m,  AB = 2m and AD = 2 cos 30° m

[tex]\alpha = tan^{-1} \bigg(\dfrac{2 \ sin \ 30^0}{2-2 \ cos \ 30^0} \bigg )[/tex]

[tex]\alpha = tan^{-1} \bigg(\dfrac{1}{2-1.732} \bigg )[/tex]

[tex]\alpha = tan^{-1} \bigg(\dfrac{1}{0.268} \bigg )[/tex]

[tex]\alpha = tan^{-1} \bigg(3.73\bigg )[/tex]

[tex]\alpha \simeq 75^0[/tex]

From the third diagram attached below:

The tension occurring in the thread BC is equal to force P

[tex]T_{BC} = P[/tex]

Using the force equilibrium expression along the horizontal direction.

[tex]\sum F_x = 0\\\\ -T_{AC} \ cos \ 30^0 + Pcos \alpha = 0[/tex]

replacing the value of [tex]\alpha \simeq 75^0[/tex]

[tex]-T_{AC} \ cos 30^0 + P cos 75^0 = 0[/tex]

[tex]P \ cos \ 75^0 = T_{AC} \ cos \ 30^0[/tex]

[tex]P =\dfrac{ T_{AC} \ cos \ 30^0}{\ cos \ 75^0} \ \ \ - - - (1)[/tex]

Along the vertical direction, the force equilibrium equation can be expressed as:

[tex]\sum F_y =0[/tex]

[tex]-W + P \ sin \alpha + T_{AC} \ sin \ 30^0 = 0[/tex]

[tex]W = P \ sin \ \alpha + T_{AC} \ sin \ 30^0[/tex]

replacing [tex]\alpha \simeq 75^0[/tex] and [tex]P =\dfrac{ T_{AC} \ cos \ 30^0}{\ cos \ 75^0}[/tex]

[tex]W =\dfrac{T_{AC} \ cos \ 30^0}{cos \ 75^0}\times sin \ 75^0 + T_{AC} \ sin \ 30^0[/tex]

Also, replacing W for (200 × 9.81) N

[tex]200 \times 9.81 =\dfrac{T_{AC} \ cos \ 30^0}{cos \ 75^0}\times sin \ 75^0 + T_{AC} \ sin \ 30^0[/tex]

[tex]200 \times 9.81 = T_{AC} \ cos \ 30^0 \ tan \ 75^0 + T_{AC} \ sin \ 30^0[/tex]

[tex]1962= T_{AC} \ ( cos \ 30^0 \ tan \ 75^0 + \ sin \ 30^0)[/tex]

[tex]1962= T_{AC} \ (0.8660\times 3.732 + 0.5)[/tex]

[tex]1962= T_{AC} \ (3.231912 + 0.5)[/tex]

[tex]1962= T_{AC} \ (3.731912)[/tex]

[tex]T_{AC} = \dfrac{1962}{ \ (3.731912)}[/tex]

[tex]T_{AC} = 525.736 \ N[/tex]

From [tex]P =\dfrac{ T_{AC} \ cos \ 30^0}{\ cos \ 75^0}[/tex]

[tex]P =\dfrac{ 525.736 \ cos \ 30^0}{\ cos \ 75^0}[/tex]

[tex]P =\dfrac{ 525.736 \times0.866}{0.2588}[/tex]

P = 1759.22 N

Thus, the force P required  is 1759.22 N

describe the relationship between the direction of the velocity vector and the direction of the acceleration for a body moving in a circle at coinstant speed

Answers

Answer:

a = v²/r

Explanation:

The acceleration of a body moving in a circular path is known as the centripetal acceleration. This is the acceleration of a body that keeps the body within the circular path. It is written in terms of the linear velocity v and the radius of the circle of rotation as shown;

a = v²/r where

v is the linear velocity

r is the radius

a is the centripetal acceleration

two cars collide at an intersection. one car has a mass of 1600 kg and is moving 8 m/s to the north, while the other has a mass of 1400 kg and is moving 12 m/s to the south. what is the combined momentum?

Answers

Answer:

Combined momentum = 12,000 Kgm/s

Explanation: 4000 kg m/s south

hope that helps :)

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