A block of mass is placed on a horizontal surface and attached to the free end o

Question

A block of mass is placed on a horizontal surface and attached to the free end of a spring. When the spring is neither stretched nor compressed, it exerts no force on the block. When the block is displaced from this position the force on it due to the spring is equal to 250 N/m times the distance the block is displaced. If the coefficient of static friction between the block and the surface is 0.24, how far from this position can the block be pulled and then released so that it remains stationary? (mass is 3.1 kg).

Explanation / Answer

Here Frictional Force = Force due to Spring

µN = kx

0.24*3.1*9.8 = 250*x

x = 2.83 m

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