A person pushes horizontally with a force of 220. N on a 56.0 kg crate to move it across a level floor. The coefficient of kinetic friction is 0.21. (a) What is the magnitude of the frictional force? (b) What is the magnitude of the crate's acceleration?

Answers

Answer 1
Answer:

Explanation:

(a)   As it is given that there is no vertical displacement. Hence, the forces on y-axis are equal and opposite.

Also, it is known that F = mg

So,            F = 56 kg * 9.8 m/s^(2)

                    = 548.8 N

Also,   F_(f) = \mu N

where,   \mu = coefficient of kinetic friction

                 N = force calculated

Putting the values into the formula as follows.

            F_(f) = \mu N

                       = 0.21 * 548.8

                      = 115.25 N

Hence, the magnitude of the frictional force is 115.25 N.

(b)   Now, let us assume that the acceleration is towards the positive x-direction.

                F - F_(f) = ma

        548.8 N - 115.25 = 56 * a

                  a = 7.74 m/s^(2)

Therefore, the magnitude of the crate's acceleration is 7.74 m/s^(2).


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Answers

Answer:

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Answers

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Final answer:

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