As a snowboarder descends a mountain slope, gravity, the normal force, and friction combine to exert a net force of 320 N in the downhill direction. The net force does 4700 J of work on her during one segment of her descent. If her path cuts across the face of the mountain at a 65 degree angle from the direction of the net force, over what distance does she travel.

34.75m

Explanation:

Parameters given:

Net force, F = 320N

Work done by net force, W = 4700 N

Angle, θ = 65º

Work done at an angle is given as:

W = F * d * cosθ

Where d = distance travelled

θ is the angle between the force and the direction of motion.

Therefore,

4700 = 320 * d * cos65

=> d = 4700/(320 * cos65)

d = 34.75 m

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.