Question

A block is pulled to the right by a rope as shown above. Which of the following statements are true about the block?I. The normal force is equal to the weight.II. The normal force is mgcosθ.III. The horizontal component of F is Fcosθ.answer choice-I only.II and III onlyIII only.II only.I and III only.

Answer 1

The normal force is equal to the weight of the block.

Step-by-step explanation:

The normal force is the force exerted by a surface to support the weight of an object resting on it. In this case, the block is pulled to the right by a rope. The normal force acting on the block is equal to the weight of the block, which is equal to the force of gravity acting on the block.

Therefore, statement I is true: The normal force is equal to the weight.

Statement II is not true, as the normal force is not mgcosθ. Statement III is not true either, as the horizontal component of the force is not Fcosθ.

So, the correct answer is answer choice I only.

Answer 2

III only

Step-by-step explanation:

The net vertical force is equal to 0 because the block is not moving up. Then, we can write the following equation

Fnet = N + Fsinθ - mg = 0

Where Fsinθ is the vertical component of the force F. Solving for the normal force N, we get:

N = mg - Fsinθ

Therefore, the normal force is not equal to the weight and the normal force is not mgcos(θ)

However, the horizontal component of F is Fcos(θ). So, the answer is

III only.