A50 kg box sits at rest on a 30 degree ramp where the coef of static friction is 0.5773. how hard would you have to push horizontally to get the box to start to move up the ramp?

Given data

m = 50 Kg

Weight(W) = 50×9.81 = 490.5 N

Coefficient of friction (μs) = 0.5773

Angle of ramp = 30 degrees

Determine the horizontal push (P) = ?

P cos Θ = W sin Θ + μs P sin Θ + μs W cos Θ

P (cos Θ -μs sin Θ ) = W ( sin Θ + μs cos Θ)

P = W ( sin Θ + μs cos Θ)/ (cos Θ -μs sin Θ )

P= 841.58 N

Harizontal push is required = 841.58

if i am correct, your answer choices are:

a. the temperature remains constant

b. the temperature increases at a constant rate

c. heat flows at a constant rate into the system

d. heat flows at a constant rate out of the system

e. no heat flows into or out of the system

if so, then the answer is e. no heat flows into or out of the system.