A motorcar of mass is moving along a straight line with a uniform velocity of . Its velocity is slowed down to in by an unbalanced external force. calculate the acceleration and change in momentum. also, calculate the magnitude of the force required.
Step 1: Given data.
Step 2: Concept and formula to be used.
Step 3: Find the acceleration of the motorcar.
Since the motorcar slowed down from to in .
So, the initial speed is , the final speed is and the time is .
Convert the speed in .
So, is equal to and is equal to
So, the acceleration of the motorcar is given by:
Therefore, the acceleration of the motorcar is .
Step 4: Find the change in momentum of the motorcar.
Since, the mass of the motorcar is and the initial velocity is .
So, the initial momentum is given by:
Since, the final velocity is .
So, the final momentum is given by:
So, the change in momentum is given by:
Therefore, the change in momentum is .
Step 5: Find the magnitude of the required force.
Since, the mass of the motorcar is and the acceleration is .
So, the magnitude of the force is given by:
Therefore, the magnitude of the required force is .
Hence, the acceleration, change in momentum and the magnitude of the force required are , and respectively.