A block of mass m is pushed across a rough surface by an app

A block of mass m is pushed across a rough surface by an applied force F, directed at an angle relative to the horizontal as shown above. The block cxpcricnces a friction force f in the opposite direction. What is the coefficient of friction between the block and the surface? a. mg/Fsin d.mg/f b.f/Fsin +mg e. f/Fsin -mg c.f/mg 16. A 20-too truck collides with a 1500-lb car and causes a lot of damage is done on the car...

Solution

Here,

let the normal force from the ground is N

mass of the block = m

Balancing the forces in vertical direction

N - F * sin(phi) - m * g = 0

N = F * sin(phi) + m * g

Now , as frictional force coefficient = f/N

frictional force coefficient = f/(F * sin(phi) + m * g)

frictional force coefficient is f/(F * sin(phi) + m * g)

the correct option is b)f/(F * sin(phi) + m * g)