A rope holds a 10-kg rock at rest on a frictionless inclined plane as shown.

-Determine the tension in the rope.
A)9.8 N
B)20 N
C)49 N
D)85 N
E)98 N

Question

A rope holds a 10-kg rock at rest on a frictionless inclined plane as shown.

-Determine the tension in the rope.
A)9.8 N 
B)20 N 
C)49 N 
D)85 N 
E)98 N

Quizplus · Accepted Answer

The force of gravity acting on the rock is given by:
F_g = m*g = 10kg * 9.8 m/s^2 = 98 N
The only other force acting on the rock is the tension in the rope, which is perpendicular to the force of gravity. Therefore, the tension force is equal in magnitude to the force of gravity:
T = F_g = 98 N.
Therefore, the answer is (C) 49 N.

A Rope Holds a 10-Kg Rock at Rest on a Frictionless