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Answer :
Final answer:
The maximum horizontal force you can exert on a 114-kg wooden crate resting on a wood floor, without moving it, is the maximum force of static friction which is dependent on the weight of the crate and the coefficient of static friction between the crate and the floor. Assuming a coefficient of 0.45 for wood on wood, this force is calculated as 501.18 N.
Explanation:
In Physics, when a force is applied to a stationary object, in this case, a wooden crate, two forces play a role in determining whether the crate will move or not; the applied force and the force of static friction. The force applied to the crate must be greater than the force of static friction to initiate movement. In your case, the crate rests on a wooden floor with a static friction coefficient, let's assume for example, to be 0.45.
Static friction is given by the formula fs (max) = µsN, where µs is the coefficient of static friction and N is the normal force, which is the weight of the crate (mass x gravity).
So the maximum force of static friction will be fs (max) = (0.45) (114kg * 9.8m/s^2) = 501.18 N. Therefore, the maximum force you can exert on the crate without moving it is 501.18 N.
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