a snowmobile has a mass of 2.5*10^2 kg. A constant force acts upon it for 60 seconds. The snowmobile's inital velocity is 6 m/s and its final velocity is 28 m/s.
a) find its change in momentum of the ball.
b) what is the magnitude of the force action upon it?
To find the change in momentum of the snowmobile, you can use the equation:
Change in momentum = Mass x Final velocity - Mass x Initial velocity
Given:
Mass (m) = 2.5 x 10^2 kg
Initial velocity (u) = 6 m/s
Final velocity (v) = 28 m/s
a) Substituting these values into the equation, we get:
Change in momentum = (2.5 x 10^2 kg) x (28 m/s) - (2.5 x 10^2 kg) x (6 m/s)
Simplifying this equation, the change in momentum of the snowmobile is:
Change in momentum = (2.5 x 10^2 kg) x (22 m/s)
Now, we can calculate the numerical value of the change in momentum.
Change in momentum = 5,500 kg.m/s
Therefore, the change in momentum of the snowmobile is 5,500 kg.m/s.
b) To determine the magnitude of the force acting upon the snowmobile, you can use the equation:
Force = Change in momentum / Time
Given:
Change in momentum = 5,500 kg.m/s
Time (t) = 60 s
Substituting these values into the equation, we get:
Force = (5,500 kg.m/s) / (60 s)
Simplifying this equation, the magnitude of the force acting upon the snowmobile is:
Force = 91.67 N
Therefore, the magnitude of the force acting upon the snowmobile is approximately 91.67 Newtons.