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.. An object (mass 10.0 kg) slides upward on a slippery

vertical wall. A force F of 60 N acts at an angle of 60° as
shown in Fig. 4.36.
(a) Determine the normal force
exerted on the object by the wall.
(b) Determine the
object's acceleration.

.. An object (mass 10.0 kg) slides upward on a slippery vertical wall. A force F of-example-1
User Vdep
by
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1 Answer

6 votes

(a) The normal force exerted on the object by the wall is 0 N

(b) The acceleration of the object is 4.6 m/s² downwards.

How to calculate the normal force?

(a) The normal force exerted on the object by the wall is calculated as follows;

Fn = mg cosθ

where;

  • m is the mass of the object
  • g is acceleration due to gravity
  • θ is the angle of inclination of the object

Fn = 10 kg x 9.8 m/s² x cos (90)

Fn = 0 N

(b) The acceleration of the object is calculated by applying newton's second law of motion as follows;

F(net) = ma

F sinθ - mg = ma

60 x sin(60) - (10 x 9.8) = 10a

-46.03 = 10a

a = -4.6 m/s²

User Alexander Larikov
by
8.6k points