A trolley of mass 300 kg carrying a sand bag of 25 kg is moving uniformly with a speed of 27 km h -1 on a frictionless track. After a while, sand starts leaking out of a hole on the trolley's floor at the rate of 0.05 kg s -1 . What is the speed of the trolley after the entire sand bag is empty?

Question

A trolley of mass 300 kg carrying a sand bag of 25 kg is moving uniformly with a speed of 27 km h -1 on a frictionless track. After a while, sand starts leaking out of a hole on the trolley's floor at the rate of 0.05 kg s -1 . What is the speed of the trolley after the entire sand bag is empty? (A) 27 km h -1 (B) 54 km h -1 (C) 108 km h -1 (D) 135 km h -1

Tardigrade Admin · Accepted Answer

As the trolley carrying the sand bag is moving uniformly, therefore, external force on the system is zero. When the sand leaks out, it does not lead to the application of any external force on the trolley. Hence, the speed o f the trolley shall not change.

$27 km h^{- 1}$

$54 km h^{- 1}$

$108 km h^{- 1}$

$135 km h^{- 1}$

As the trolley carrying the sand bag is moving uniformly, therefore, external force on the system is zero. When the sand leaks out, it does not lead to the application of any external force on the trolley. Hence, the speed o f the trolley shall not change.

Q. A trolley of mass 300kg carrying a sand bag of 25kg is moving uniformly with a speed of 27kmh−1 on a frictionless track. After a while, sand starts leaking out of a hole on the trolley's floor at the rate of 0.05kgs−1. What is the speed of the trolley after the entire sand bag is empty?

27kmh−1

54kmh−1

108kmh−1

135kmh−1

As the trolley carrying the sand bag is moving uniformly, therefore, external force on the system is zero. When the sand leaks out, it does not lead to the application of any external force on the trolley. Hence, the speed o f the trolley shall not change.

$27 km h^{- 1}$

$54 km h^{- 1}$

$108 km h^{- 1}$

$135 km h^{- 1}$