Skateboarder with a mass of 150kg

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The problem involves a skateboarder with a mass of 150 kg who comes to a stop after colliding with a stationary steel dumpster. The skateboarder's final velocity is 0 m/s after traveling at 13 m/s, and the time taken to stop is 0.25 seconds. The discussion focuses on calculating the rate of acceleration and the force exerted on the dumpster.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between time, acceleration, and change in velocity, with one participant providing calculations for acceleration and force based on the given values.

Discussion Status

Some participants have provided calculations for acceleration and force, with one expressing uncertainty about the correctness of their results. There is an acknowledgment of the formulas used, and a participant confirms the approach taken by another.

Contextual Notes

Participants are working within the constraints of the problem as presented, focusing on the calculations without additional context or external information.

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A skateboarder with a mass of 150 kg is traveling at a final velocity of 13m/s and collides with a steel dumpster. The dumpster does not move. The skateboarder comes to a stop at 0.25 seconds. What is his rate of acceleration as he stops? How much force does he exert on the dumpster?

Can someone help me please.
 
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Can you write down an equation for the relationship between time, acceleration and change in velocity?
 
Initial velocity= 13ms^-1
Final velocity= 0ms^-1
Time= 0.25s

A) Rate of acceleration = (V-U)/T = (0-13)/0.25 = -52ms^-2

B) Force exerted on the dumpster= F= (MV)/ T = (150*13)/0.25 = 7800N

I think?
 
That looks correct to me! Average acceleration is change in velocity divided by change in time. Force exerted is equal to the change in momentum.
 

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