A block of mass mblock = 1.1 kg rests on a cart of mass mcart = 3.4 kg, which moves without friction on a horizontal surface. The coefficient of static friction between the block and the cart is µ = 0.69. The cart is accelerating to the right.

1) What is the maximum acceleration such that the block does not slide on the cart? Amax = ?m/s2

2) What is the magnitude of the force on the cart required to provide the acceleration Amax? F =?

a.

b.30.4 N

Explanation:

We are given that

Mass of block=m=1.1 kg

Mass of cart=M=3.4 kg

Total mass=m+M=1.1+3.4=4.5 Kg

1.We have to find the maximum acceleration such that block does not slide on the cart.

Normal force=

Substitute the values

Using

Hence, the maximum acceleration such that block does not slide on the cart=

b.

Using the formula

Hence, the magnitude of the force on the cart required to provide the maximum acceleration=30.4 N

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