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Suppose you have a 103 kg wooden crate resting on a wood floor, with a coefficient of static friction of 0.500 between these wood surfaces.

(a) What maximum force (in N) can you exert horizontally on the crate without moving it?

Answer :

A maximum force of 504.715 N is exerted on the crate horizontally.

To find the maximum force you can exert horizontally on the 103 kg wooden crate without moving it, you need to calculate the static friction force between the crate and the wood floor.

Step 1: Find the normal force (Fn) acting on the crate.
Since the crate is resting on a horizontal surface, the normal force is equal to the gravitational force acting on the crate.
Fn = m x g
where m is the mass of the crate (103 kg) and g is the acceleration due to gravity (9.81 m/s^2).

Fn = 103 kg x 9.81 m/s² = 1009.43 N

Step 2: Calculate the maximum static friction force (Fs).
Fs = μs x Fn
where μs is the coefficient of static friction (0.500) and Fn is the normal force calculated in step 1.

Fs = 0.500 x 1009.43 N = 504.715 N

The maximum force you can exert horizontally on the crate without moving it is 504.715 N (rounded to 3 decimal places).

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