If the force F=200 N is applied to the 30-kg cart, show that the 20-kg block A w

Question

If the force F=200 N is applied to the 30-kg cart, show that the 20-kg block A will slide
on the cart. Also determine the time for block A to move on the cart 1.5 m. The coefficient of
static and kinetic friction between the block and the cart are ?s=0.3 and ?k=0.25. Both the cart
and the block start from rest.

If the force F=200 N is applied to the 30-kg cart, show that the 20-kg block A will slide on the cart. Also determine the time for block A to move on the cart 1.5 m. The coefficient of static and kinetic friction between the block and the cart are ?s=0.3 and ?k=0.25. Both the cart and the block start from rest.

Explanation / Answer

It is a example of non inertial frame now wehave anet(block+cart)

anet=200/50=4 m/s62

Now 20*4-20*9,81*0.25=20*a

a=1.54 of block wrt cart

now s=ut+1/2*a*t^2

1.5=1/2*1.54*t^2

t=1.39s ans

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