Answer :
Final answer:
To calculate the loss of momentum of a 1000 kg car when braking force is applied, use the formula: loss of momentum = force x time. Applying an average force of 4210 N for 2.28 seconds results in a loss of momentum of 9598.8 kg·m/s for the car.
Explanation:
The student's question pertains to determining the loss of momentum of a car during a braking period, which is a concept in physics. To calculate the loss of momentum, we can use the formula:
Momentum = Mass × Velocity
The average braking force exerted on the 1000 kg compact car for a duration of 2.28 seconds to decelerate it from 30.9 m/s to rest will result in a momentum change equal to the force multiplied by the time period of the force (impulse).
The initial momentum of the car is given by its mass times its initial velocity. The final momentum, once the car stops, is zero. The loss of momentum is equal to the initial momentum, as:
Loss of momentum = Initial momentum - Final momentum = (1000 kg × 30.9 m/s) - (1000 kg × 0 m/s) = 30900 kg·m/s.
However, if we want to include the braking force in our calculations directly, we could do it as follows:
Loss of momentum = Force × Time = 4210 N × 2.28 s = 9598.8 kg·m/s.
It's important to notice that the loss of momentum calculated using the force and time (impulse) should theoretically equal the initial momentum if the final velocity is zero. However, friction and other factors may contribute to discrepancies if they are not accounted for in the force stated.
