Physics, 17.01.2020 04:31 kellyzeissss1286

Ashuffleboard player pushes a 0.25 kg puck, initially at rest, such that a constant horizontal force of 6 n acts on it through a distance of 0.5 m. (neglect friction.)a. what are the kinetic energy and the speed of the puck when the force is removed? b. how much work would be required to bring the puck to rest? c. follow up: suppose the puck in this problem had twice the final speed. would it then take twice as much work to stop the puck?

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Answer from: kay3940

(a) 3 J and 4.899 m/s

(b) -3 J.

Explanation:

(a) Work done by the shuffleboard player = Force × distance

W = F×d Equation 1

Where W = work done, F = Force, d = distance.

Kinetic Energy (Ek) of the = 1/2mv² Equation 2

Where m = mass of the puck, v = velocity of the puck.

Note: Work done by the shuffleboard player = Kinetic Energy of the puck when the force is removed, assuming no energy is lost to friction.

Therefore,

Ek = 1/2mv² = F×d

Ek = F×d Equation 3

Given: F = 6 N, d = 0.5 m.

Substituting these values into equation 3

Ek = 6×0.5

Ek = 3 J.

Thus the kinetic Energy = 3 J.

Also,

Ek = 1/2mv²

making v the subject of the equation

v = √(2Ek/m) Equation 4

Given: m = 0.25, Ek = 3 J

Substituting into equation 4

v = √(2×3/0.25)

v = √24

v = 4.899 m/s

Thus the speed of the puck = 4.899 m/s

(b) The work required to bring the puck to rest = -(the Kinetic Energy of the puck.)

Wₙ = 1/2mv²

Where Wₙ = work required to bring the puck to rest.

Where m = 0.25 kg, v = 4.899 m/s²

Wₙ = -1/2(0.25)(4.899)²

Wₙ = -1/2(0.25)(24)

Wₙ = -0.25(12)

Wₙ = -3 J

Thus the work required to bring the puck to rest = 3 J.

Work required to stop it.

Wₓ = 1/2mv²

Where Wₓ = work required to stop the puck when it has twice the final speed.

m = 0.25 kg, v = 9.798 m/s ( twice the final speed)

Wₓ = 1/2(0.25)(9.798)²

Wₓ = 1/2(0.25)(96)

Wₓ = 12 J.

Thus the puck will take four times as much as the work done to stop it when the final speed is increased twice.

Answer from: Quest

Alinear relationship would look like a straight line on the graph. it could have a positive negative or 0 slope. so it could be a line potentially going in any direction but it must be perfectly straight.

Answer from: Quest

we need to know the time interval during which the force acts. impulse of force = momentum change

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Ashuffleboard player pushes a 0.25 kg puck, initially at rest, such that a constant horizontal force...