Laws Of Motion Question 418

Question: A truck moving on a smooth horizontal surface with a uniform speed u is carrying dust. If a mass $ \Delta m $ of the dust leaks from the truck in vertical downward direction in time $ \Delta t, $ the force needed to keep the truck moving at its constant speed is

Options:

A) Zero

B) $ \frac{u\Delta m}{\Delta t} $

C) $ \Delta m\times \frac{du}{dt} $

D)$ u\frac{\Delta m}{\Delta t}+\Delta m\times \frac{du}{dt} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The force exerted on the truck due to leaking of dust is in

$ \frac{\Delta m}{\Delta t} $ vertical upward direction.

Since, there is no friction, no horizontal force acts on the truck, hence no forcer is required to keep its uniform motion intact.



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