Question

A block of mass 3m is placed on a frictionless surface that makes an angle of θ with the horizontal. What is the normal force between the block and the surface?

a) 3mgcos(θ)
b) 3mgsin(θ)
c) 3mgtan(θ)
d) 3mg

Answer 1

The normal force between the block and the surface can be found using the equation N = mgcos(θ). Therefore, the correct answer is option a) 3mgcos(θ).

Step-by-step explanation:

The normal force between the block and the surface can be found using the equation:

N = mgcos(θ)

Where N is the normal force, m is the mass of the block, g is the acceleration due to gravity, and θ is the angle of the surface with the horizontal.

Since the mass of the block is 3m, the equation for the normal force becomes:

N = (3m)gcos(θ) = 3mgcos(θ)

Therefore, the correct answer is option a) 3mgcos(θ).