Question

A block rests on a plane with a 30-degree angle. The block experiences a normal force of 100 Newtons and a force of friction of 50 Newtons. Which formula, if solved for force of gravity (Fgravity), would correctly give the force of gravity on the block?

a) sin 60 = 100/F(gravity) Newtons
b) cos 30 = 100/F(gravity) Newtons
c) tan 60 = 100/F(gravity) Newtons
d) tan 30 = 100/F(gravity) Newtons

Answer 1

The correct formula to use is tan 30 = 100/F(gravity) Newtons.

Step-by-step explanation:

The correct formula to use in order to find the force of gravity (Fgravity) on the block is option d) tan 30 = 100/F(gravity) Newtons. Since the block is on a plane with a 30-degree angle, we can use the tangent function to find the ratio of the opposite side (force of gravity) to the adjacent side (normal force). By rearranging the formula, we can solve for F(gravity) by multiplying both sides by 100 and taking the reciprocal of the tangent of 30 degrees.