Skateboarder with a mass of 150kg

[roske]

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.

 

[JesseC]

Can you write down an equation for the relationship between time, acceleration and change in velocity?

 

[roske]

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?

 

[JesseC]

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.

 

[Nickie]

I can provide you with the necessary information to answer your questions. First, we need to understand the concept of acceleration, which is the rate of change of an object's velocity. It is calculated by dividing the change in velocity by the time taken for that change to occur. In this scenario, the skateboarder's initial velocity is 13m/s and his final velocity is 0m/s. The time taken for this change to occur is 0.25 seconds. So, his rate of acceleration can be calculated as (0-13)/0.25 = -52 m/s^2. This means that the skateboarder experienced a deceleration of 52 m/s^2 as he came to a stop.

Next, we need to calculate the force exerted by the skateboarder on the dumpster. According to Newton's second law of motion, force is equal to mass multiplied by acceleration. In this case, the skateboarder's mass is 150 kg and his acceleration is -52 m/s^2. So, the force exerted by the skateboarder on the dumpster can be calculated as 150 kg x (-52 m/s^2) = -7800 N.

In conclusion, the skateboarder experienced a deceleration of 52 m/s^2 as he came to a stop and exerted a force of -7800 N on the dumpster. It is important to note that the negative sign indicates that the force and acceleration are in opposite directions, which is expected as the skateboarder was moving in one direction and came to a stop in the opposite direction. I hope this helps.