A block of mass, m, is pushed up against a spring, compressing it a distance x, and is then released. The spring projects the block along a frictionless horizontal surface, giving the block a speed v. The same spring projects a second block of mass 4m, giving it a speed 3v. What distance was the spring compressed in the second case?

Answers

Answer 1

Answer:

x₂ =6*x₁

Explanation:

In absence of friction, along a horizontal surface, all the elastic potential energy stored in the spring becomes kinetic energy, so we can write the following expression for the first case:

       [tex]\frac{1}{2}*k*x_{1}^{2} = \frac{1}{2}*m*v^{2} (1)[/tex]

In the second case, we have a mass 4m, which reaches to a speed 3v due to the energy stored in the spring.We can write the same equation than for (1) replacing m by 4m and v by 3v, as follows:

        [tex]\frac{1}{2}*k*x_{2} ^{2} = \frac{1}{2} * 4*m*(3*v)^{2} =\frac{1}{2}*4*m*9*v^{2} = \frac{1}{2}* 36 m*v^{2} (2)[/tex]

Dividing (2) over (1) on both sides, and rearranging terms, we get:

        [tex]x_{2} ^{2} = 36 * x_{1} ^{2}[/tex]

Taking square roots on both sides, we get:x₂ = 6*x₁So, in this case, the spring was compressed six times the distance that was compressed in the first case.

Related Questions

How do mass and the type of material affect thermal energy transfer?

Answers

Answer:

Warmer objects have faster particles and higher temperatures. If two objects have the same mass, the object with the higher temperature has greater thermal energy. ... Heat is the transfer of thermal energy between objects that have different temperatures.

PLEASE HELPP WITH QUESTIONS :(

Answers

Answer:no

Explanation: lol

A running back weighing 100 kg runs headlong into a defender weighing 120 kg. The two players are moving at 7 m/s and 5 m/s, respectively. Calculate the total momentum and the total kinetic energy of the system. [Calculations including velocity should reflect direction of travel.]

Answers

Answer:

Explanation:

we know that momentum is given as

P=mv

given data

P1=?

mass m1=100kg

velocity v1=7m/s

P2=?

mass m2=120kg

velocity v2=5m/s

the total momentum =P1+P2

total=m1v1+m2v2

total= 100*7+120*5

total=700+600

total= 1300kgm/s

total kinetic energy

KE total= 1/2m1v1^2+1/2m2v2^2

KE total= 1/2*100*(7)^2+1/2*120*(5)^2

KE total= 1/2*100*49+1/2*120*25

KE total= 1/2*4900+1/2*3000

KE total=2450+1500

KEtotal=3950 J

How long will it take an object that falls from rest to attain a velocity of 147 m/s?

Answers

Answer:

15 seconds

Explanation:

We can use this formula to solve this problem:

Velocity = Initial Velocity + Acceleration * Time

We know that initial velocity is 0, the velocity is 147, and acceleration is 9.8(because of earth's gravitational pull), so we can plug those numbers in and solve for time:

147 = 0 + 9.8*t

t = 15

Therefore, it will take 15 seconds for an object that falls from rest to reach 147 m/s.

In theory, if the airspeed of an airplane is doubled while in level flight, parasite drag will become

Answers

Answer:

Four times greater

Explanation:

Drag is comprised of parasite drag and induced drag. The Parasite drag is the drag that acts on an object when the said object happens to be moving through a fluid. Parasite drag is also a combination of two forms of drag. These two forms of drag are called form drag and skin friction drag.

As the speed of an airplane increases, the parasite drag also increases while the induced drag of the airplane decreases. The parasite drag of an airplane in theory becomes four times greater, when it's airspeed is doubled.

what is the answer to life and everything in the universe?

Answers

The answer to life and the universe is 42

5.3C The nozzle on a fire hose is connected to the hose via a coupling. When the fire hose is in use with water flowing through it and the hose is stationary, the coupling is: a) in equilibrium, so there is no force on the coupling. b) in tension. c) in compression

Answers

Answer:

Tension ( B )

Explanation:

When the fire hose is in use with water flowing through it and the hose is stationary, the coupling is in TENSION , this is because the force of flow in a stationary object will be in a compressive nature that will in turn cause the force on the coupling to be in a form of a Tension ( i.e. Tensile )

If somebody asks me if i need help on my work and i say " no ty " , is that rude???

Answers

Answer:

no

Explanation:

Physics Freefall Name 1. You decide to drop a penny from the top of the hotel in New York. It hits a tourist in the head at 32 m/s. How far did the penny fall

Answers

Answer:

h = 52.24 m

Explanation:

Given that,

A penny is dropped from the top of the hotel in New York. It hits a tourist in the head at 32 m/s.

Let it falls at a height of h.

We can find the value of h using the conservation of energy such that,

[tex]\dfrac{1}{2}mv^2=mgh\\\\h=\dfrac{v^2}{2g}\\\\h=\dfrac{(32)^2}{2\times 9.8}\\\\h=52.24\ m[/tex]

So, it will fall at a distance of 52.24 m.

Two ropes are tied to a 50 kg boat. One pulls with a force of 120 N due West and the other rope pulls with a force of 140 N due South. Find the net force of the boat (magnitude and direction) and the acceleration.

Answers

The net force on the boat is the vector

F = (-120 N) i + (-140 N) j

where we take West and South to be the negative directions going left-and-right and up-and-down, respectively.

The magnitude of the net force is

F = √((-120 N)² + (-140 N)²) = 20 √(85) N ≈ 180 N

and its direction is

tan(θ) = (-140 N) / (-120 N)   →   θ ≈ -130°

relative to due East, or approximately 50° South of West.

Problem 6 (20 points) A ballistic pendulum is a device often used for measuring the velocity of a projectile. Assume to projectile fully embeds itself in the pendulum. If the projectile mass is 25 grams, the pendulum mass is 2.5 kg, and the vertical displacement of the pendulum after the collision is 12 cm, find the velocity of the projectile just prior to the collision.

Answers

Answer:

The velocity of the projectile just prior to the collision is 154.934 meters per second.

Explanation:

Let consider the projectile-pendulum system as our system of study, from statement we know that projectile gives kinetic energy to the pendulum and turns into gravitational potential energy. By Principle of Energy Conservation we construct the following expression:

[tex]U_{g,1}+K_{1} = U_{g,2}+K_{2}[/tex] (Eq. 1)

Where:

[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.

[tex]K_{1}[/tex], [tex]K_{2}[/tex] - Initial and final kinetic energies, measured in joules.

By applying definitions of gravitational potential and kinetic energies, we expand and simplify the equation above:

[tex](m+M)\cdot g \cdot (y_{2}-y_{1}) = \frac{1}{2}\cdot (m+M)\cdot (v_{1}^{2}-v_{2}^{2})[/tex]

[tex]g\cdot (y_{2}-y_{1})=\frac{1}{2}\cdot (v_{1}^{2}-v_{2}^{2})[/tex]

And we clear the initial velocity of the pendulum-projectile system:

[tex]v_{1}=\sqrt{v_{2}^{2}+2\cdot g\cdot (y_{2}-y_{1})}[/tex] (Eq. 2)

Where:

[tex]m[/tex] - Mass of the projectile, measured in kilograms.

[tex]M[/tex] - Mass of the ballistic pendulum, measured in kilograms.

[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speeds of the pendulum-projectile system, measured in meters per second.

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

[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and vertical position of the pendulum-projectile system, measured in meters.

Under the consideration of inellastic collision, we find the velocity of the projectile prior to the collision by Principle of Linear Momentum Conservation:

[tex]m\cdot v_{o, P} + M\cdot v_{o,B} = (m+M)\cdot v_{1}[/tex]

[tex]v_{o,P} = \frac{(m+M)\cdot v_{1}-M\cdot v_{o,B}}{m}[/tex] (Eq. 2)

Where:

[tex]v_{o, P}[/tex] - Velocity of the project prior to the collision, measured in meters per second.

[tex]v_{o,B}[/tex] - Velocity of the ballistic pendulum prior to the collision, measured in meters per second.

If we know that [tex]v_{2} = 0\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]y_{2}-y_{1} = 0.12\,m[/tex], [tex]m = 0.025\,kg[/tex], [tex]M = 2.5\,kg[/tex] and [tex]v_{o,B} = 0\,\frac{m}{s}[/tex], then the velocity just prior to the collision is:

By (Eq. 1):

[tex]v_{1} =\sqrt{\left(0\,\frac{m}{s} \right)^{2}+2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.12\,m)}[/tex]

[tex]v_{1} \approx 1.534\,\frac{m}{s}[/tex]

By (Eq. 2):

[tex]v_{o,P} = \frac{(0.025\,kg+2.5\,kg)\cdot \left(1.534\,\frac{m}{s} \right)-(2.5\,kg)\cdot \left(0\,\frac{m}{s} \right)}{0.025\,kg}[/tex]

[tex]v_{o,P} = 154.934\,\frac{m}{s}[/tex]

The velocity of the projectile just prior to the collision is 154.934 meters per second.

Calculate the rms speed of helium atoms near the surface of the Sun at a temperature of about 5200 K.

Answers

Answer: Root mean square speed, Vrms=5,694m/s

Explanation:

Root mean square speed  is defined as the  the square root of the average of the square of the velocity and given as [tex]\sqrt 3RT/M[/tex]

Where R =8.3145J/mol.k

M molar mass of the molecule in kg/mol

Helium= He=4g/mol =  0.004kg/mol

T= Temperature = 5200k

Vrms=  [tex]\sqrt 3RT/M[/tex]

=[tex]\sqrt 3 x 8.3145 x 5200/0.004[/tex]

=[tex]\sqrt32426550[/tex]

Vrms =5,694m/s

I WILL MARK YOU AS BRAINLIEST IF RIGHT
What is the magnitude of the net force acting on this object? And what direction?

Answers

Answer:

20N to the North

Explanation:

the west and east forces cancel out, that leaves us with 50 to the north, and 30 to the south, the difference would be 20 N to the North

A conveyor belt dumps 2500 yd3 of gravel to form a cone-shaped pile. How high could this pile of gravel be, and what could the circumference of the pile of gravel be at ground level

Answers

Answer:

Explanation:

Volume of the cone = 1/3πr²h

r is the radius

h is the height

2500 = 1/3πr²h

Criss multiply

r²h = 2500 × 3π

Rewrite the expression

r²h = 50² × 3π

Compare values

r² = 50²

r = √50²

r = 50yd

The radius is 50yards

Also;

h = 3π yards

h = 3(3.14)

h = 9.42yards

Hence the pile is 9.42yards high

Circumference of the pile = 2πr

Given r = 50

Substitute

Circumference = 2π(50)

Circumference = 100π

Circumference = 100(3.14)

Circumference = 314yards

Hence the circumference of the pile at the ground level is 314yards

In which disorder does a person find it difficult to fall asleep or stay asleep for a long time?
A.
somnambulism
B.
narcolepsy
C.
insomnia
D.
sleep apnea

Answers

Answer:c

Explanation:

I have it

Answer:

C.

insomnia

Explanation:

plato answer

Find the resistance that must be placed in series with a 25.0Ω25.0 Ω galvanometer having a 50.0µA50.0 μA sensitivity (the same as the one discussed in the text) to allow it to be used as a voltmeter with a 0.100-V full-scale reading

Answers

Answer:

1975 ohm

Explanation:

The maximum current that can pass through the galvanometer is 50.0µA

p.d across the galvanometer at a full scale deflection is given by

V = IR

V = (50.0×10^-6)*25

V1 = 1/800 or 0.00125volts

Since the p.d across the multiplier and galvanometer at full scale deflection is 0.100volts,the p.d across the multiplier alone must be given by

V2 = 0.100-0.00125

= 0.09875volts

Current passing through the multiplier is (50.0×10^-6)A

Hence if R is the resistance of the multiplier, we have that

V2 = (50.0×10^-6)×R

0.09875volts = (50.0×10^-6)×R

Divide both sides by 0.09875volts

R = 0.09875/(50.0×10^-6)

R =( 0.09875) ÷ 1/20000

R = 0.09875×20000

R = 1975 ohms

the whale shark is the largest of all fish and can have the mass of 3 adult elephants. suppose that a crane is lifting a whale shark into a tank for delivery to an aquarium. The crane must exert a force of 25000 N to lift the shark from rest. if the sharks acceleration equals 1.25m/s^2, what is the sharks mass ?

Answers

Answer: The whale shark is the largest type of fish in the world. Its mass can be as large as 2.00 x 10^4kg, which is the equivalent mass of three average adult elephants. Suppose a crane lifts a net with a 2.00 x 10^4kg whale shark off the ground. The net is steadily accelerated from rest over an interval of 2.5s until the net reaches a speed of 1.0 m/s.

Explanation:

A bus is moving to the right at an absolute velocity U. You throw a water balloon at the bus at an absolute velocity V (greater than U) after the bus passes you. A person on the bus sees the balloon hit the bus at a speed of:

Answers

Answer:

The person on the bus will see the balloon hit the bus at a velocity = V - U

Explanation:

There is relative motion between the water balloon and the person sitting in the bus.

Relative motion is the motion of a body with respect to another body (eg. an observer) from the point of reference of the second body (observer).

The person on the bus has a velocity which is the same as that of the moving bus = U

The velocity of the thrown water balloon (greater than U) = V

The relative motion between the person and the water balloon is the difference between their velocities (since they are both moving in the same direction) = V - U

Therefore, the person on the bus will see the balloon hit the bus at a velocity = V - U

I need help with this science work.

Answers

Answer:

1. Radiation

2. Conduction

3. Conduction

4. Convection

5. Convection

6. Convection

7. Radiation

I think that is correct

find the current of 20 c of charge pass a piticular point in a circuit in 10 seconds

Answers

I = Q/t = 20C/10s = 2A

Determine the required height h of the crest of the roller coaster to thebottom so that when it is essentially at rest at the crest of the hill it will reacha speed of 28 m/s when it comes to the bottom.

Answers

Answer:

h = 40 m

Explanation:

Assuming no friction present, total mechanical energy must be conserved, so the following expression stands:ΔK + ΔU = 0 (1)Now, if the car is at rest at the crest of the hill, the change in kinetic energy is just as follows:

       [tex]\Delta K = \frac{1}{2} * m* v_{b} ^{2}[/tex]  (2)

       where vb = speed at the bottom = 28 m/s

If we define the bottom as our zero reference level for the gravitational potential energy, we can write the following equation:

       [tex]\Delta U = U_{f} - U_{i} = 0- m*g*h = -m*g*h[/tex] (3)

From (1) we get:ΔK = -ΔUReplacing by (2) and (3), we get:

       [tex]\frac{1}{2} * m* v^{2} = m*g*h[/tex]

Simplifying and rearranging terms, we can solve for h (height required) as follows:

       [tex]h = \frac{v_{b} ^{2} }{2*g} = \frac{(28m/s)^{2}}{2*9.8m/s2} = 40 m[/tex]

It takes an airplane nearly 3/4 of a mile to stop. Which law is being used?
A) Newton's first law
B) Newton's second law
C) Newton's third law
D) Law of conservation of momentum
E) Law of universal gravitation

Answers

Answer:

I think it is D

Explanation:

might be wrong

A spacecraft is traveling in space at a velocity of 8200 m's. Turning a dial elicits the engines to accelerate the spacecraft at 2 m/s. How many seconds will it take
before the spacecraft reaches a velocity of 8400 m's?

Answers

spacecraft is ummm i’m not sure sorry oh it is 8,4000

A biker pushes on the pedal and accelerates her 50 kg bike from 0 m/s to 10 m/s. What is the the impulse?

Answers

Answer:

3.7

Explanation:

Science Motion Problem pelase elp

Answers

Answer:120

Vav = S / t = (120 + 45) m / (4 + 60) sec = 2.6 m/s

hello what is momentum?

Answers

Answer:

Momentum is vector quantity and it is defined as the product of mass of the object and velocity of the object.

As it is a vector quantity it has both direction and magnitude, and momentum is written as

p = m × v

p = momentum

m = mass of the object

v = velocity

Two kinds of momentum are there and they are:

Linear MomentumAngular Momentum

What is the angle between a wire carrying an 8.00-A current and the 1.20-T field it is in if 50.0 cm of the wire experiences a magnetic force of 2.40 N? (b) What is the force on the wire if it is rotated to make an angle of 90 ∘ 90∘ with the field?

Answers

Answer:

(a) the angle between the wire and field is 30⁰

(b) the force is 4.8 N

Explanation:

Given;

current in the wire, I = 8 A

magnetic field, B = 1.2 T

length of the wire, L = 50.0 cm = 0.5 m

magnetic force, F = 2.4 N

The magnetic force on the wire is given by;

F = BILsinθ

where;

θ is the angle between the wire and field

sinθ = F / BIL

sinθ = 2.4 / (1.2 x 8 x 0.5)

sinθ = 0.5

θ = sin ⁻¹ (0.5)

θ = 30⁰

(b) the force on the wire if it is rotated to make an angle of 90⁰

F = BIL(sin90⁰)

F = BIL(1)

F = BIL

F = 1.2 x 8 x 0.5

F = 4.8 N

How can humans detect infrared waves?
А
They see them as color.
B
They feel them as heat.
с
They hear them as sound.
D
They feel them as vibrations.

Answers

The answer is B. They feel them as heat.
I’m not good with these type of Stuff so don’t pick my answer but I think the answer may be D

PLS HELP PLS 10. This graph represents the velocity of an object over time. What is the average acceleration of the
object during the first 4 seconds?

Answers

Answer:

8 M/S

Explanation:

This is because the points match from 4 seconds (X) and it matches up to 8 (Y), therefore it went up 8 M/S in 4 seconds.

A speeding car is traveling at a constant 30.0 m/s when it passes a sationary police car. If the police car delays for 1.00s before starting, what must be the magnitude of the constant accleration of the police car. pdf

Answers

Answer:

30.0m/s²

Explanation:

Given

final speed v = 30.0m/s

initial velocity u = 0m/s

Time taken t = 1.00s

Required

constant acceleration of the police car a

Substitute the given parameters into this equation of motion

v = u + at

30 = 0 +1a

30 = a

a = 30.0m/s²

Hence the magnitude of the constant acceleration of the police car is 30.0m/s²

Other Questions
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1According to the article, what are three things people should consider when setting their ultimate fitness goal? Write the equation of the line passing through the given points (- 5, 7) and (3, - 1) Write the slopeWrite the equation Write the equation for the line y=Mx+b 5 >4 of 5Sarah, Fiona and David share 40 in a ratio 3:3:2. How much money does each person get? Ginger works at a shop as a mechanic. One day at work, a fellow employee is pinned under a car when a jack fails. Ginger rushes over to help, and while trying to lift the car suffers a stroke. If the marginal propensity to consume is 0.8, by how much will GDP increase after government spending increases by $200 Choose the correct form of the verb in the following sentence:"Jose y Lucio _____pizzas."Question 3 options:comecomenbeben given that (_2) is a factor of f()=(^3)+(4^2)+p+q and leaves a remainder of 4 when divided by (_3). find the values of the constants p and q this is a polynomial question what is 23 divided by 83 plus 2 Melted snow from the Sierra Nevada mountains and other mountain ranges is an important water source for much of California. Using evidence, explain why a lack of snow in the mountains could make drought cycles worse over time. What is the following: 9(2x 3) + 5x + 17 Bad Dog you see embedded here.Pythagorean Theorem - UnknownSide Lengths - Bad Dog* RequiredHelp Louie Escape! HCC, Inc., expects its dividends to grow at 25 percent per year for the next seven years before levelling off to a constant 3 percent growth rate. The required return is 11 percent. What is the current stock price if the annual dividend per share that was just paid was $1.05 How many calories are contained in 29 grams of fat? A person studying economics can make better choices about purchase if yhat person understand Find the equation of line passing through the points A(-1,3) and B(0,2). Hence show that the points A,B and C (1,-1) are collinear. Write a paragraph using the following prompt: Ancient and historical art and artifacts can be found all over the world. Based on your two readings surrounding the Pyramids of Egypt and the other art around the world, explain the importance of ancient artifacts to our world and how our society may still be learning from these different pieces of art. plzzz hurry i need the answer to the question What does the phrase broke camp mostly suggest? Select three options.A The travelers left the territory.B The travelers ruined the area.C The travelers woke at sunrise.D The travelers moved from the site.E The travelers destroyed the supplies.F The travelers evacuated the surroundings. What is the future value of $100 after 3 years if the appropriate interest rate is 8%, compounded annually? ($125.97) Compounded monthly? ($127.02 NEED ANSWERS ASAP WITH EXPLANATION PLEASE HELP!!!!!