Answer :
The horizontal components of the final velocity of the bumper car is 7 m/s.
How to calculate the final velocity of the bumper car?
The horizontal components of the final velocity of the bumper car is calculated by applying the principle of conservation of linear momentum.
ΔP = Ft
where;
- ΔP is the change in moment
- F is the applied force
- t is the time
m(v - u) = Ft
v - u = Ft / m
v = Ft / m + u
where;
- u is the initial velocity
v = 2.9 m/s + (4000 N x 0.2 s ) /195 kg
v = 7 m/s
So the final horizontal velocity of the bumper car is 7 m/s.
The complete question is below:
Suppose a child drives a bumper car head on into the side rail, which exerts a force of 4000 n on the car for 0.200 s.
Find the horizontal components of the final velocity of the bumper car, in meters per second, if its initial velocity was 2.9 m/s and the car plus driver have a mass of 195 kg. You may neglect friction between the car and floor.
