Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Friction
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Friction
Starting from rest, a scooter travels with a constant acceleration...
Starting from rest, a scooter travels with a constant acceleration for a time , subsequently moves with a constant velocity for the next , and finally undergoes a constant deceleration for the next to come to rest. A man sitting on the scooter behind the driver manages to remain at rest with respect to the scooter without touching any other part. The force exerted by the seat on the man is
Options
- A throughout the journey
- Bless than throughout the journey
- C for time and and for
- Dmore than throughout the journey
Correct answer
C. for time and and for
Step-by-step solution
During the time interval , the scooter accelerates with an acceleration . The forces acting on the man are his weight acting downwards and the force from the seat. Since the man is at rest relative to the scooter, he accelerates with . The force exerted by the seat has a vertical normal component to balance gravity and a horizontal frictional component to provide the acceleration.
The total force exerted by the seat is , which is greater than .
During the time interval , the scooter moves with a constant velocity, so the acceleration is zero. The horizontal force is zero, and the force exerted by the seat is only the vertical normal force .
During the time interval , the scooter decelerates with an acceleration . The force exerted by the seat again has a horizontal component and a vertical component . The total force is , which is greater than .
Thus, the force exerted by the seat on the man is for time and , and for .
The total force exerted by the seat is , which is greater than .
During the time interval , the scooter moves with a constant velocity, so the acceleration is zero. The horizontal force is zero, and the force exerted by the seat is only the vertical normal force .
During the time interval , the scooter decelerates with an acceleration . The force exerted by the seat again has a horizontal component and a vertical component . The total force is , which is greater than .
Thus, the force exerted by the seat on the man is for time and , and for .