Question

You are trying to push a crate across the rough floor of a warehouse. Just before the crate begins to move, you have applied a force of 102 N. The shipping label on the crate says it is 61 kg. Calculate the coefficient of static friction between the crate and the floor. (Use g=9.8ms-2)

Answer 1

Answer on Question #52385, Physics, Mechanics | Kinematics | Dynamics

You are trying to push a crate across the rough floor of a warehouse. Just before the crate begins to move, you have applied a force of 102 N. The shipping label on the crate says it is 61 kg. Calculate the coefficient of static friction between the crate and the floor. (Use g=9.8ms-2)

Solution:

The friction force is the force exerted by a surface as an object moves across it or makes an effort to move across it. There are at least two types of friction force - sliding and static friction.

The maximum amount of friction force that a surface can exert upon an object can be calculated using the formula below:

$$F _ {f r i c t} = \mu F _ {n o r m}$$

The normal force is the support force exerted upon an object that is in contact with another stable object.

$$F _ {n o r m} = W (w e i g h t) = m g$$

Thus,

$$\mu = \frac {F _ {f r i c t}}{m g} = \frac {1 0 2}{6 1 * 9 . 8} = 0. 1 7$$

Answer: $\mu = 0.17$

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