1. A mass of 5 kg is placed on an inclined plane at an angle

of 30 degrees to the horizontal. Calculate the gravitational

force acting on the mass.

Answer: The gravitational force on the mass can be

calculated using the formula F = mg, where m is the mass

and g is the acceleration due to gravity. In this case, F = 5

kg * 9.8 m/s^2 = 49 N.

Rationale: This question tests the students' understanding

of the calculation of gravitational force and applying it in

the context of an inclined plane.

2. A force of 20 N is applied to push a box up an inclined

plane. The inclined plane has an angle of 45 degrees to the

horizontal. Calculate the component of the applied force

acting parallel to the incline.

Answer: The component of the applied force acting parallel

to the incline can be calculated using the formula

F_parallel = F_applied * cos(theta), where F_applied is the

applied force and theta is the angle of the incline. In this

case, F_parallel = 20 N * cos(45 degrees) = 14.1 N.

Rationale: This question assesses the students' ability to

calculate the parallel component of a force acting on an

inclined plane using trigonometric functions.

3. A crate of mass 10 kg is placed on an inclined plane with

an angle of 20 degrees to the horizontal. Calculate the

normal force exerted by the inclined plane on the crate.