Question

Find the force necessary to start the crate moving, given that the mass of the crate is 32 kg and the coefficient of static friction between the crate and the floor is 0.55.

Answer 1

To find the force necessary to start the crate moving, we use the formula fs(max) = μsN, where fs(max) is the maximum static friction force, μs is the coefficient of static friction, and N is the normal force. Plugging in the given values, the force necessary to start the crate moving is 169.36 N.

Step-by-step explanation:

The force necessary to start the crate moving is equal to the maximum static friction force. To calculate this, we use the formula:

fs(max) = μsN

where fs(max) is the maximum static friction force, μs is the coefficient of static friction, and N is the normal force. The normal force is equal to the weight of the crate, which can be calculated by N = mg, where m is the mass of the crate and g is the acceleration due to gravity. So, the force necessary to start the crate moving is:

fs(max) = μsN = μsmg

Plugging in the given values:

fs(max) = (0.55)(32 kg)(9.8 m/s²) = 169.36 N