A catapult with a spring constant of 10,000 N/m is used to launch a target from the deck of a ship. The spring is compressed a distance of 0.5 m
before the 1.56-kg target launched. What is the target's velocity as it leaves the spring?
Please help.
(A) 10m/s
(B) 20m/s
(C) 40m/s
(D) 30m/s

Answers

Answer 1

Answer:

(C) 40m/s

Explanation:

Given;

spring constant of the catapult, k = 10,000 N/m

compression of the spring, x = 0.5 m

mass of the launched object, m = 1.56 kg

Apply the principle of conservation of energy;

Elastic potential energy of the catapult = kinetic energy of the target launched.

¹/₂kx² = ¹/₂mv²

where;

v is the target's  velocity as it leaves the catapult

kx² = mv²

v² = kx² / m

v² = (10000 x 0.5²) / (1.56)

v² = 1602.56

v = √1602.56

v = 40.03 m/s

v ≅ 40 m/s

Therefore, the target's velocity as it leaves the spring is 40 m/s


Related Questions

Light is reflected from a crystal of table salt with an index of refraction of 1.544. An analyser is placed to intercept the reflected ray, and is able to completely absorb the reflected light. What is the angle of incidence?

Answers

Answer:

hola me llamo bruno y tu?

Explanation:

pero yo soy de mexico

Bathroom scales read the normal force that is exerted against the floor. What would a scale read when a 100 kg man is in an elevator accelerating upward at 1.2 m/s2? What would it read when the man is accelerated downward at 1.8 m/s2?

Answers

Answer:

a

When the lift is moving upward   [tex]F = 1120 \ N[/tex]

b

When the lift is moving downward   [tex]F = 820 \ N[/tex]

Explanation:

From the question we are told that

     The mass of the man is [tex]m = 100 \ kg[/tex]

     The upward acceleration is  [tex]a_u = 1.2 \ m/s^ 2[/tex]

     The downward acceleration is  [tex]a_d = 1.80 \ m/s^2[/tex]

Generally the force which the scale will read  when the man is moving downward is according to Newton second law represented as  

      [tex]F + mg = ma[/tex]

        [tex]F = m (g - a_d)[/tex]

Here [tex]g = 10 m/s^2[/tex]

=>     [tex]F = 100 (10 - 1.8)[/tex]

=>     [tex]F = 820 \ N[/tex]

Generally the force which the scale will read  when the man is moving upward  is according to Newton second law represented as  

       [tex]F - mg = ma[/tex]

        [tex]F = m (g + a_u)[/tex]

Here [tex]g = 10 m/s^2[/tex]

=>     [tex]F = 100 (10 + 1.2)[/tex]

=>     [tex]F = 1120 \ N[/tex]

A block is given an initial velocity of 8.0 m/s up a frictionless 28° inclined plane. (a) What is its velocity when it reaches the top of the plane? (b) How far horizontally does it land after it leaves the plane?

Answers

Answer:

A.) 8 m/s

B.) 7.0 m

Explanation:

Given that a block is given an initial velocity of 8.0 m/s up a frictionless 28° inclined plane.

(a) What is its velocity when it reaches the top of the plane?

Since the plane is frictionless, the final velocity V will be the same as 8 m/s

The velocity will be 8 m/s as it reaches the top of the plane.

(b) How far horizontally does it land after it leaves the plane?

For frictionless plane,

a = gsinø

Acceleration a = 9.8sin28

Acceleration a = 4.6 m/s^2

Using the third equation of motion

V^2 = U^2 - 2as

Substitute the a and the U into the equation. Where V = 0

0 = 8^2 - 2 × 4.6 × S

9.2S = 64

S = 64/9.2

S = 6.956 m

S = 7.0 m

5. Explain how forming an ionic bond makes metal and nonmetal atoms more stable.
6. Describe how metallic bonds contribute to the physical characteristics of a metal.
7. Describe the type of ions created through metallic bonding.
8. List the three types of atomic bonds and describe the types of atoms-metal
or nonmetal-that form each type of bond.

Answers

do you have the paper or doc ?

4. Look at the graph above. What information is on the graph and what does it mean? Please help!!!

Answers

Answer:

CO2 increases in the winter

Explanation:

A balloon is filled with helium at sea level. The volume was measured to be 3.1 liters at a pressure of 0.97 atm. If the balloon is released, it drifts upward. At a height of 4 kilometers, the pressure is measured to be 0.61 atm. What is the new volume of the balloon?

5.0 L
0.19 L
4.9 L
1.9 L

Answers

Answer:

4.9L hope this helped!

A planet similar to the Earth has a radius 5 × 106 m and has an acceleration of gravity of 10 m/s 2 on the planet's surface. The planet rotates about its axis with a period of 25 h. Imagine that the rotational speed can be increased. If an object at the equator is to have zero apparent weight, what is the new period? Answer in units of h.

Answers

Answer:

The new period is approximately 3.93 × 10⁻⁷ h

Explanation:

The radius of the planet = 5 × 10⁶ m

The acceleration due to gravity on the planet, a = 10 m/s²

The period of the planet = 25 h

The centripetal force, [tex]F_c[/tex], is given by the following equation;

[tex]F_c = \dfrac{m \cdot v^2}{r}[/tex]

Where;

v = The linear speed

r = The radius

Therefore, for the apparent weight, W, of an object to be zero, we have;

The weight of the object = The centripetal force of the object

W = Mass, m × Acceleration due to gravity, a

∴ W = [tex]F_c[/tex]

Which gives;

[tex]m \times a = \dfrac{m \cdot v^2}{r}[/tex]

[tex]a = \dfrac{v^2}{r}[/tex]

∵ r = The radius of the planet

We have;

[tex]10 = \dfrac{v^2}{5 \times 10^6}[/tex]

v² = 10 × 5 × 10⁶

v = √(10 × 5 × 10⁶) ≈ 7071.07 m/s

The new frequency = Radius of the planet/(Linear speed component of rotation)

∴ The new frequency = 5 × 10⁶/(7071.07) = 707.107 revolutions per second

The new frequency = 707.107 × 60 × 60 = 2545585.2 revolutions per second

The new period = 1/Frequency ≈ 3.93 × 10⁻⁷ hour.

Andrew sells ball pens that have a radium body. This is the most unique feature of his product. Andrew charges a premium price for these pens because of this feature. He is using a strategy.

Answers

Answer:

a differentiation strategy

Explanation:

Note, a differentiation strategy occurs when a producer/seller sets apart his/her product from other competitors by giving it unique features such as quality, or other physical uniqueness, and so they may charge a premium price because of these unique features.

Hence, because Andrew's customers recognized this unique features they are willing to buy his ball pens over others; meaning the strategy worked.

Answer:

^^^ isn't wrong but the complete term is "product differentiation strategy"

Explanation:

Hopefully this helps others using plato

What is the electric potential, i.e. the voltage, 0.30 m from a point charge of 6.4 x 10-C?

Answers

Answer:

V = 192 kV

Explanation:

Given that,

Charge, [tex]q=6.4\times 10^{-6}\ C[/tex]

Distance, r = 0.3 m

We need to find the electric potential at a distance of 0.3 m from a point charge. The formula for electric potential is given by :

[tex]V=\dfrac{kq}{r}\\\\V=\dfrac{9\times 10^9\times 6.4\times 10^{-6}}{0.3}\\\\V=192000\ V\\\\V=192\ kV[/tex]

So, the required electric potential is 192 kV.

How much net force must Mrs. McD’s 30,000 kg jet plane develop to achieve an acceleration of 1.5 m/s2?

Answers

F = MA
30,000 kg * 1.5 m/s^2 = 45,000 N

Speed and Motion you went from the starting line to the finish line at different rates. If you repeated the activity while carrying weights but keeping your times the same, how would your kinetic energy be affected?

Answers

Answer:

It will cause kinetic energy to increase.

Explanation:

Given that Speed and Motion you went from the starting line to the finish line at different rates.

If you repeated the activity while carrying weights but keeping your times the same, the weight carried will add up to the mass of the body.

And since Kinetic energy K.E = 1/2mv^2

Increase in the mass of the body will definitely make the kinetic energy of the body to increase.

Since the time is the same, that means the speed V is the same.

Weight W = mg

m = W/g

The new kinetic energy will be:

K.E = 1/2(M + m)v^2

This means that there will be increase in kinetic energy.

What happens to the strength of an electromagnet when the number of coils
in the solenoid is increased?
O A. It depends on what metal makes up the solenoid.
B. It increases.
C. It remains the same.
D. It decreases.

Answers

Answer:

It decreases

Explanation:

<3

When the number of coils in the solenoid is increased, the strength of the electromagnet also increases. So, the correct option is B.

What is meant by a solenoid ?

A solenoid is defined as a type of electromagnet formed by winding a wire into a helical coil on a rod made of solid iron or steel.

Here,

The number of coils in the solenoid is increased. This increase in the number of coils, would affect the strength of the electromagnet.

The equation for the strength of the magnetic field of a solenoid can be written as,

B = μ₀NI/L

where,

B is the magnetic field strength

μ₀ is the permeability of free space

N is the number of turns of the coil

I is the current flowing through the solenoid

L is the length of the solenoid

From the equation, we can say that the magnetic field strength of a solenoid is directly proportional to the number of turns or the number of coils formed.

B [tex]\alpha[/tex] N

Therefore,

As, the number of coils in a solenoid increases, the magnetic field strength of the solenoid also increases.

Hence,

When the number of coils in the solenoid is increased, the strength of the electromagnet also increases.

To learn more about solenoid, click:

https://brainly.com/question/15504705

#SPJ7

A 2,100kg car drives toward a 55kg cart that has a velocity of 0.50m/s west. The two objects collide giving the car a final velocity of 6.31m/s east and the shopping cart a velocity of 13.5m/s east what the initial velocity of the car?

A. 6.68m/s east
B. 7.19m/s west
C. 6.68m/s west
D. 7.19m/s east

Answers

Answer: A. 6.68m/s east

Explanation: just did it on ap3x

The speed of light in that material is slower or faster?

Answers

Faster..................

An elevator is being pulled up from the ground floor to the third floor by a cable. The cable is exerting 4500 newtons of force on the elevator. According to Newton's law of action-reaction, what is the gravitational force on the elevator, in newtons, if the elevator is NOT accelerating?

Answers

Answer:

The gravitational force on the elevator = 4500N

Explanation:

The given parameters are;

The force applied by the elevator, F  = 4500 N

The acceleration of the elevator = Not accelerating

From Newton's third law of motion, the action of the cable force is equal to the reaction of the gravitational force on the elevator which is the weight, W and motion of the elevator as follows;

F = W + Mass of elevator × Acceleration of elevator

∴ F = W + Mass of elevator × 0 = W

F = 4500 N = W

The net force on the elevator is F - W = 0

The gravitational force on the elevator = W = 4500N.

The gravitational force on the elevator, if the elevator is NOT accelerating is 4500 N.

Given data:

The magnitude of force on the elevator is, F = 4500 N.

From Newton's third law of motion, the action of the cable force is equal to the reaction of the gravitational force on the elevator which is the weight, W and motion of the elevator as follows,

F = W + ma

Here, a is the acceleration of the elevator. Since, the elevator is not accelerating. Then, a = 0 .

The weight of the elevator is due to the gravitational force. So, we need to obtain the weight as gravitational force.

Solving as,

[tex]F = W+ma\\\\F=W +(m \times 0)\\\\4500=W\\\\W = 4500 \;\rm N[/tex]

Thus, we can conclude that the gravitational force on the elevator, if the elevator is NOT accelerating is 4500 N.

Learn more Newton's third law here:

https://brainly.com/question/17529892

Which of these is an example of heat transfer by conduction?

cooking carrots in hot water


drying hair with a blow dryer


pressing a shirt with an iron


warming water with sunlight

Answers

Answer:

pressing a shirt with an iron

Explanation:

Heat transfer by conduction is when heat is transferred by two objects in contact with each other.

PLEASE MARK BRAINLIEST. Thanks!!!!

Which choice correctly defines magnetic poles? the points on the end of magnet, where the magnetic field is strongest the point on a magnet where one magnetic field cancels out another magnetic field the middle of a magnet where the magnetic field is zero different ends of a magnet where the magnetic field is weakest

Answers

Answer:

A. The points on the end of magnet, where the magnetic field is strongest.

Explanation:

A magnet is a substance that has the ability to attract magnetic materials, e.g iron, steel etc. It comprises of two poles (north-N and south-S) each at its two ends. The N-pole and S-pole are the points on a magnet that have the strongest magnetic field. The magnetic fields originates from the north pole, and terminates in the south pole of a magnet.

When the poles of two different magnets are brought close together, attraction or repulsion may occur.

The option that defines the magnetic poles is the points on the end of the magnet, where the magnetic field is strongest.

What is a magnetic field?

Attracting other iron-containing objects or aligning themselves in a magnetic field.

There are two poles of the magnet;

1. the North Pole.

2. the South Pole.

The same poles repel each other, while the opposite poles attract each other.

Thus, the correct option is A.

To learn more about the magnet, refer to the link;

brainly.com/question/13026686

How do pith balls become stationary?

Answers

A pith ball hangs vertically by a thread. A plastic rod is charged by rubbing with cloth. The charged rod is brought close to the pith ball without touching it.

A truck initially traveling at a speed of 22 m/s increases at a constant rate of 2.4 m/s^2 for 3.2s. What is the total distance travelled by the truck during this?

Answers

Answer:

82.7 m

Explanation:

u= 22m/s

a= 2.4 m/s^2.

t= 3.2 secs

Therefore the distance travelled can be calculated as follows

S= ut + 1/2at^2

= 22 × 3.2 + 1/2 × 2.4 × 3.2^2

= 70.4 + 1/2×24.58

= 70.4 + 12.29

= 82.7 m

Hence the distance travelled by the truck is 82.7 m

Cual es la fuerza de empuje que recibe un cuerpo de forma cilíndrica que mide 0.3 m de radio y 8m de altura, el cual se sumerge en alcohol si su densidad es de 790 Km/m3 tomando en cuenta la gravedad de 9.8m/seg2

Answers

Responder:

Fb = 17,5 kN

Explicación:

La expresión de la fuerza de empuje

Fb = ρgV ---------- 1

dónde

Fb = fuerza de flotación

ρ = densidad del fluido

g = aceleración debida a la gravedad

V = volumen de fluido

Paso uno:

datos dados

radio del cilindro = 0,3 m

altura h = 8m

densidad = 790 kg / m ^ 3

g = 9,8 m / s ^ 2

El volumen del cilindro se expresa como

V = πr ^ 2h

V = 3,142 * 0,3 ^ 2 * 8

V = 3,142 * 0,09 * 8

V = 2,26

El volumen es 2.26m ^ 3, el volumen del cilindro es igual al volumen de alcohol disparado

La expresión de la fuerza de empuje es

Fb = ρgV

sustituyendo tenemos

Fb = 790 * 9,8 * 2,26

Fb = 17514,26N

Fb = 17,5 kN

Iron filings were sprinkled around these two magnets. What do the iron filings
show?
O A. They show that magnetic field lines point away from the north
pole of magnets.
B. They show the pattern made by the magnetic field lines around the
magnets
C. they show that magnetic field lines often cross over each other when magnets repel
D. they show the locations of the magnetic domains in the magnets
please help no ones questions match mine!!!

Answers

Answer:

B. They show the pattern made by the magnetic field lines around the

magnets

Explanation:

Using iron fillings, the pattern of the magnetic field lines around a bar magnet can be known.

Magnetic field lines are the line of force around a bar magnet.

These iron fillings will trace the pattern of the magnetic field around the magnet. The domains of the iron fillings begins to align and orient with that of the prevailing magnetic field around. Those areas with the strongest force will attract more fillings and those far away will attract lesser fillings.

Answer:

B

Explanation: E Z

What is the difference between inertial mass and weight​

Answers

Answer:

mass is the amount of matter in an object, whereas weight is the force exerted on an object by gravity

What is it called when particles in a solid or liquid move slower and closer together?

Answers

When Particles are cold they move closer together and move slower. When they’re hot it’s the opposite.

The reason at the time when particles in a solid or liquid move slower and closer together should be explained below.

What are particles?

The particles should be in the form of small pieces of matters. Also, the scientist believed that each and everything in the universe should be made of the particles. here the range of the particles should be in the range via the large  subatomic particles such as electrons or it has lower  microscopic particles.

Learn more about particles here: https://brainly.com/question/21526256

What is vi for an object dropped from a raised position?

Answers

Answer:

Option C. vi = 0

Explanation:

An object held at a particular height above the ground is considered to be at rest. If the object is release from that height, the initial velocity (vi) is considered to be zero since the object is at rest or at a stand still position.

Thus,

Initial velocity (vi) = 0

Connor is the paper
football champion of
all of Black Middle
School. If he thumps a
paper football with an
initial velocity of 3.0
meters per second at
an angle of 30
degrees, how far will
the football travel?

Answers

Explanation:

First we have to descompose velocity, and get Velocity of X and Y side:

Vx = V * cos 30°

Vx = 3 m/s * 0,866...

Vx = 2,598 m/s

Vy = V * sen 30°

Vy = 3 m/s * 0,5

Vy = 1,5 m/s

Lets calculate time of fly:

Firat, lets calulate up time:

uT = (Fv - Iv) / g

uT = (0 m/s - 1,5 m/s) / -9,8 m/s^2

uT = -1,5 m/s / -9,8 m/s^2

uT = 0,15 s

Like up time is equal to down time, time of fly will be:

T =uT + dT

T = 0,15 s + 0,15 s

T = 0,3 s

Now for calculate how far will reach, lets aplicate the formula:

d = Vx * T

d = 2,598 m/s * 0,3 s

d = 0,779 meters

Will reach 0,779 meters

Gud luck

gravitational forces is ------ force​

Answers

Answer:

Gravitational force is noncontact force

Explanation:

Contact force occurs due to the contact between two different objects. Non-contact force occurs due to either attraction or repulsion between two objects such that there is no contact between these objects. There is no field linked with the contact force. ... Gravitational force is an example of a non-contact force.

If a planet has more mass, the acceleration of gravity you feel on that planet will be greater than on a planet with less mass. true or false

Answers

Answer:

Yes

Explanation:

Objects with greater mass have more gravity. For example a feather and a phone. A feather falls slower than a phone becasue their is less gravity.

Hope this helps :)

John walks four kilometers east, two kilometers north as shown in the diagram below. What is John’s displacement

4 km

11 km

2 km north

7 km east

Answers

not 100% positive, but i believe 7 km east?
I think its 7 km east

An airplane starts from rest and accelerates at a constant 3.00 m/s2
for 20.0 s. What is its displacement in this time?

Answers

Answer:600 m

Explanation:

In a container there are 2 liters of liquid, of which 75% is alcohol and the remaining 25% is water.
Determine how many cm3 of alcohol must be added to bring the alcohol percentage to 80%.

Answers

Answer:

There must be added 500 cm3 of alcohol to bring the concentration to 80%.

Explanation:

Concentration

The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solution.

In the container, there are 2 liters (2000 cubic centimeters) of a solution, 75% of which is alcohol (solute) and 25% of water (solvent).

The original amount of alcohol is:

H = 2000*75% = 1500 cc

The original amount of water is:

W = 2000*25% = 500 cc

When we add x cc of pure alcohol, there are 1500+x cc of alcohol out of 2000+x cc of solution.

The new concentration is calculated as:

[tex]\displaystyle \frac{1500+x}{2000+x}[/tex]

And it's known this concentration is 80% (0.8), thus:

[tex]\displaystyle \frac{1500+x}{2000+x}=0.8[/tex]

Multiplying by 2000+x:

[tex]1500+x = 0.8(2000+x)[/tex]

Operating:

[tex]1500+x = 1600+0.8x[/tex]

Rearranging:

[tex]x-0.8x=1600-1500[/tex]

[tex]0.2x=100[/tex]

[tex]x=100/0.2[/tex]

x= 500

There must be added 500 cm3 of alcohol to bring the concentration to 80%

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