A 912 kg drag race car accelerates from rest
to 108 km/h in 0.795 s. What change in
momentum does the force produce?
momentum is mv
surely you can figure the starting and ending values. The time taken makes no difference.
To find the change in momentum produced by the force, we can use the formula:
Change in momentum = mass * change in velocity
First, we need to find the change in velocity. We know that the car starts from rest (0 km/h) and accelerates to 108 km/h.
Change in velocity = final velocity - initial velocity
= 108 km/h - 0 km/h
= 108 km/h
However, we need to convert this velocity from km/h to m/s since the unit of mass is given in kilograms.
1 km/h = 1000 m/3600 s = 10/36 m/s
So, the change in velocity is:
Change in velocity = 108 km/h * (10/36 m/s)
= 30 m/s
Now, we can calculate the change in momentum:
Change in momentum = mass * change in velocity
= 912 kg * 30 m/s
= 27,360 kg·m/s
Therefore, the change in momentum produced by the force is 27,360 kg·m/s.
To find the change in momentum produced by the force acting on the drag race car, we can use the equation:
Change in momentum = mass × change in velocity
First, let's convert the velocity from km/h to m/s since the unit of mass is in kilograms and the unit of time is in seconds.
1 km/h = 1000 m/3600 s = 10/36 m/s
Therefore, 108 km/h = (108 × 10/36) m/s = 30 m/s (approximately)
Now, we can calculate the change in velocity:
Change in velocity = final velocity - initial velocity
= 30 m/s - 0 m/s
= 30 m/s
Now, we can substitute the mass of the car and the change in velocity into the equation to find the change in momentum:
Change in momentum = 912 kg × 30 m/s
= 27360 kg·m/s
So, the change in momentum produced by the force is 27360 kg·m/s.