Concept explainers
Two children push on a crate. They find that when they push together horizontally with forces of 155 N and 187 N, respectively, the crate slides across the floor at a constant speed. Show that the
To show: Friction force between crate and floor is 342 N.
Explanation of Solution
Given:
Force of one children,
Force of other children,
Direction of both forces are same and crate is moving at constant speed.
Formula Used:
Since, the crate is moving at constant speed. It means it is in dynamic equilibrium.
For a system in dynamic mechanical equilibrium, the net force is zero.
Mathematically,
Calculation:
Since the crate is in dynamic mechanical equilibrium, so the sum of all the forces on it will be zero.
As the force of friction will always be in opposite direction of motion or the tendency of motion.
So, using
Conclusion:
Therefore, it is proved that friction force between crate and floor is 342 N
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Conceptual Physics: The High School Physics Program
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