Physics-
General
Easy

Question

In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling from a stationary hopper on to the cart with negligible velocity at constant rate mu kg/s and sticks to the cart The velocity of the cart at time t(<t0)

  1. fraction numerator F t over denominator M subscript 0 end subscript plus mu t end fraction e to the power of mu t end exponent    
  2. fraction numerator F t over denominator M subscript 0 end subscript end fraction e to the power of mu t end exponent    
  3. fraction numerator F t over denominator M subscript 0 end subscript end fraction    
  4. fraction numerator F t over denominator M subscript 0 end subscript plus mu t end fraction    

The correct answer is: fraction numerator F t over denominator M subscript 0 end subscript plus mu t end fraction e to the power of mu t end exponent

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