Two librarians pull forward on a cart filled with books to bring them to a storage room. One librarian pulls with 25 N [forward] and the other pulls with 32 N [forward]. The total mass of the cart and books is 35 kg. The cart moves at a constant velocity.

Find the coefficient of kinetic friction.
g=1.6
fn=56N

1 answer

First, let's find the total force of the librarians pulling the cart forward:
Ftotal = 25 N + 32 N = 57 N

Next, let's calculate the total force of friction acting on the cart:
Ff = μ * Fn

Since the cart is moving at a constant velocity, the force of friction is equal in magnitude but opposite in direction to the total force of the librarians. Therefore:
57 N = μ * 56 N

Now, solve for the coefficient of kinetic friction (μ):
μ = 57 N / 56 N
μ = 1.017857

Therefore, the coefficient of kinetic friction between the cart and the floor is approximately 1.02.