Find the Total Force.

Question

1. Say a 60 kg box is pushed up a ramp of incline of 30 ^o. We push with 400 N of force, and k = 0.07, find the Total Force.
2. cos(30 ^o) = 0.866
3. sin(30 ^o) = 0.5

	A.	106 N
	B.	364.36 N
	C.	70.36 N
	D.	-129.79 N

Answer 1

Let's list forces exerted on the box along the incline: F_applied - mgsinθ -kmgcosθ=F_net

where F_friction=kmgcosθ and mgsinθ is gravitational force component along the incline.

Hence F_net=(400 N) -(60 kg)(9.8 m/s²)sin (30⁰) -0.07(60 kg)(9.8 m/s²)cos (30⁰)=70.36 N