a small cart that carries a single turning vane rolls on a l

a small cart that carries a single turning vane rolls on a level track. the cart mass is M=5kg with initial speed Uo=5m/s. at t=0 the vane is struck by an opposing jet of water as shown. neglect any external forces due air or rolling resistance . Determine the jet speed V required to bring the cart to rest in a)1s b)2s. in each case find total distance traveled

Solution

a) for 1s (g approx= 10 m/s^2)

v=u₀+gt =5+10(1) =15m/s

For total distance s=(V/t) = 15m.

b) for 2s (g approx= 10 m/s^2)

v=u₀+gt =5+10(2) =25m/s

For total distance s=(V/t) = 12.5m.