A toy car of mass 2-kg travels along a horizontal surface with negligible friction at a speed of 1.0 m/s. The car then collides with a vertical wall. The wall applies a force of magnitude 20 N for 0.2 s on the toy car. Which of the following predicts the motion of the toy care immediately after the collision?
A: The speed of the car will increase, and the car will travel in the opposite direction.
B: The speed of the car will decrease, and the car will travel in the opposite direction.
C: The speed of the car will remain the same, and the car will travel in the opposite direction.
D: The car will stop and remain motionless.

Please show your work in finding the direction of motion - ie. please don't use common sense but rather show the applicable physics principles along with formulas to find the direction of motion.

Respuesta :

Answer:

An experiment is conducted in which a cart travels across a horizontal surface and collides with a wall. Data collected from the experiment are used to create the graph of the cart's velocity as a function of time. All frictional forces are considered to be negligible. Which data from the graph should the student use to determine the direction of the net force exerted on the cart and the direction of the change in momentum of the cart from the time intervals of A to B?

Explanation:

  • Mass=m=2kg
  • Velocity=v=1m/s
  • Momentum=mv=2kgm/s

As we know that

  • Force=dp/dt(Change in momentum/time)

So

  • 20N=dp/2
  • dp=10N/s

  • Hence the speed of car will remain the same it won't affect the speed
  • As momentum from wall is more the ball will travel in opposite direction

Option C is correct