A car moving at 25 m/s comes to a stop in 5 seconds. Calculate the average force exerted on the car and the change in momentum during this time.
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To calculate the average force exerted on the car, we can use the equation:
Average force = (mass x change in velocity) / time
Given that the car comes to a stop from a velocity of 25 m/s in 5 seconds, the change in velocity is -25 m/s (since the velocity changes in the opposite direction). The time is 5 seconds.
Let's assume the mass of the car is m.
Average force = (m x -25 m/s) / 5 s
= -5m m/s²
The negative sign indicates that the force is in the opposite direction to the initial velocity of the car.
Therefore, the average force exerted on the car is -5m m/s².
To calculate the change in momentum during this time, we can use the equation:
Change in momentum = mass x change in velocity
Given that the change in velocity is -25 m/s and the mass is m:
Change in momentum = m x -25 m/s
= -25m kg·m/s
The negative sign indicates that the momentum changes in the opposite direction to the initial momentum of the car.
Therefore, the change in momentum during this time is -25m kg·m/s.
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