A 12,833 kg∙m/s impulse is applied to a 1,083-kg car. What is the change in velocity? (0.1)
To find the change in velocity, we can use the formula for impulse:
Impulse = change in momentum
Given:
Impulse = 12,833 kg∙m/s
Car mass = 1,083 kg
Now, we can calculate the initial momentum of the car:
Initial momentum = mass * initial velocity
Initial velocity = 0 because the car was at rest initially
Initial momentum = 1,083 kg * 0 = 0 kg∙m/s
Now, we can calculate the final momentum of the car:
Final momentum = Initial momentum + Impulse
Final momentum = 0 kg∙m/s + 12,833 kg∙m/s = 12,833 kg∙m/s
Now, we can calculate the final velocity of the car using the final momentum:
Final velocity = Final momentum / mass
Final velocity = 12,833 kg∙m/s / 1,083 kg = 11.85 m/s
The change in velocity can be calculated by subtracting the initial velocity (0) from the final velocity:
Change in velocity = Final velocity - Initial velocity
Change in velocity = 11.85 m/s - 0 m/s = 11.85 m/s
Therefore, the change in velocity of the car is 11.85 m/s.