a motorcycle has a mass of 2.50*1000 kg. a constant force is exerted on it for 60.0 s. The motorcycle's initial velocity is 6.00 m/s and its final velocity 28.0 m/s. What is its change in momentum?
To find the change in momentum of an object, we can use the formula:
Change in Momentum = Final Momentum - Initial Momentum
The momentum of an object is given by the equation:
Momentum = Mass x Velocity
Given:
Mass of the motorcycle = 2.50 x 1000 kg
Initial velocity = 6.00 m/s
Final velocity = 28.0 m/s
Time = 60.0 s
First, we need to calculate the initial momentum and final momentum of the motorcycle.
Initial Momentum = Mass x Initial Velocity
Final Momentum = Mass x Final Velocity
Initial Momentum = (2.50 x 1000 kg) x (6.00 m/s)
Final Momentum = (2.50 x 1000 kg) x (28.0 m/s)
Calculating the values:
Initial Momentum = 15,000 kg m/s
Final Momentum = 70,000 kg m/s
Now we can find the change in momentum:
Change in Momentum = Final Momentum - Initial Momentum
Change in Momentum = 70,000 kg m/s - 15,000 kg m/s
Calculating the value:
Change in Momentum = 55,000 kg m/s
Therefore, the change in momentum of the motorcycle is 55,000 kg m/s.