Answer to Question #162628 in Physics for anthony

Question

A man is pulling a crate along a concrete floor. This time, let's be specific. The crate has a mass of 100 kg and the man pulls with a force of 1 250 N. The coefficient of friction between the crate and the floor is 0.2. What is the acceleration of the crate?

Answer 1

$$F_{pull}-F_{fr}=ma,$$ $$F_{pull}-\mu mg=ma,$$ $$a=\dfrac{F_{pull}-\mu mg}{m},$$ $$a=\dfrac{1250\ N-0.2\cdot100\ kg\cdot9.8\ \dfrac{m}{s^2}}{100\ kg}=10.54\ \dfrac{m}{s^2}.$$