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Question
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a rightward force is applied to a crate to push it across the floor at a constant speed. ignore air resistance.
identify the type of forces and their relative magnitude.
Step1: Analyze vertical forces
The crate is on the floor, so there is a gravitational force ($F_g$) acting down - ward and a normal force ($F_N$) acting upward. Since the crate is not moving vertically, $F_g = F_N$.
Step2: Analyze horizontal forces
The crate is moving at a constant speed. A right - ward applied force ($F_{app}$) is acting on it. There must be a left - ward frictional force ($F_f$) opposing the motion. According to Newton's first law (for constant speed, net force is zero), $F_{app}=F_f$.
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Vertical: Gravitational force ($F_g$) down, normal force ($F_N$) up with $F_g = F_N$. Horizontal: Applied force ($F_{app}$) right, frictional force ($F_f$) left with $F_{app}=F_f$.