Two workers pull a light tool cart of mass in opposite horizontal directions along a…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two workers pull a light tool cart of mass 25 kg25\,\text{kg} in opposite horizontal directions along a workshop floor. Worker A pulls toward the east with 45 N45\,\text{N}, while Worker B pulls toward the west with 30 N30\,\text{N}. The coefficient of kinetic friction between the cart and the floor is 0.200.20. Take g=9.8 m/s2g = 9.8\,\text{m/s}^2. (a) With east chosen as positive, calculate the net horizontal force acting on the cart. (b) Determine the magnitude and direction of the cart’s acceleration. (c) The supervisor wants the cart to accelerate eastward at 1.5 m/s21.5\,\text{m/s}^2. Find the additional constant horizontal force (magnitude and direction) that must be applied to achieve this requirement.

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