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

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )

scientific laws are the result of testing theories and proving them to be facts.