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wel
2 years ago
5

Find the recoil velocity of a 65kg ice hockey goalie who catches a 0.15kg hockey puck slapped at him at a velocity of 50m/s. Ass

ume that the goalie is at rest before catching the puck, and friction between the ice and the puck-goalie system is negligible.
a. −0.12m/s
b. 0m/s
c. 0.12m/s
d. 7.5m/s
Physics
1 answer:
dimulka [17.4K]2 years ago
7 0

Answer:

a. −0.12m/s

Explanation:

Given;

mass of the hockey goalie, m₁ = 65 kg

mass of the hockey puck, m₂ = 0.15 kg

velocity of the hockey puck, u₂ = 50 m/s

initial velocity of the hockey goalie, u₁ = 0

let the recoil velocity of the goalie = v

Apply Newton's third law of motion;

action and reaction are equal and opposite.

m₁v = -m₂u₂

65v = -(0.15 x 50)

65v = -7.5

v = - 7.5 / 65

v = -0.12 m/s

This shows that the goalie will move backwards with a velocity of 0.12 m/s.

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The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :
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The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

<h3>What is simple harmonic motion?</h3>

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

Simple Harmonic Motion

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This is only possible when cos θ = -1

The maximum kinetic energy is

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w^2 = \frac{k}{m} \\k = w^2m\\k = \frac{\pi ^2}{4} X \frac{500}{1000} \\k =1.254 N/m

Using the value of spring constant, we can find the maximum potential energy.

P.E =\frac{1}{2} k x^2\\P.E =\frac{1}{2} X 1.234 X 3.5^2 \\P.E = 7.56 J

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

ME = K.E + P.E

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

Learn more on simple harmonic motion here;

brainly.com/question/15556430

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