A car of mass m0 starts moving to the right due to a constant horizontal force F. At the same time sand starts falling into the car from a stationary hopper. The rate of loading is constant and equal to 𝜇 kg/s Mark the correct option(s).

Q: A car of mass m0 starts moving to the right due to a constant horizontal force F. At the same time sand starts falling into the car from a stationary hopper. The rate of loading is constant and equal to 𝜇 kg/s Mark the correct option(s).

Numerical

(a) velocity of the car at time t is $\frac{F t}{m_o + \mu t}$

(b) velocity of the car at time t is $\frac{F t}{2 (m_o + \mu t ) }$

(c) acceleration of the car at time t is $\frac{F m_o }{2(m_o + \mu t)^2}$

(d) acceleration of the car at time t is $\frac{F m_o }{(m_o + \mu t)^2}$

Ans: (a) , (d)