Question

A man attempts to pick up his suitcase of weight w_s by pulling straight up on the handle. (Part A figure) However, he is unable to lift the suitcase from the floor. Which statement about the magnitude of the normal force n acting on the suitcase is true during the time that the man pulls upward on the suitcase?

A. The magnitude of the normal force is equal to the magnitude of the weight of the suitcase.
B. The magnitude of the normal force is equal to the magnitude of the weight of the suitcase minus the magnitude of the force of the pull.
C. The magnitude of the normal force is equal to the sum of the magnitude of the force of the pull and the magnitude of the suitcase's weight.
D. The magnitude of the normal force is greater than the magnitude of the weight of the suitcase

Now assume that the man of weight w_m is tired and decides to sit on his suitcase. (Part B figure) Which statement about the magnitude of the normal force n acting on the suitcase is true during the time that the man is sitting on the suitcase?

Answer 1

Answer:

Part A. The magnitude of the normal force is equal to the magnitude of the weight of the suitcase minus the magnitude of the force of the pull.

Part B. The magnitude of normal force acting on the suitcase is equal to the sum of the weight of the suitcase and the man.

Explanation:

Part A. This is because when the man pulls on the suit upwards, he exerts a force in the upward direction. This takes part of the force of weight of the suitcase and decreases the force the suitcase is exerting on the ground. Thus, the normal force (force exerted by suitcase on the ground) also decreases by the same force as the pull.

Part B. The statements for this part were not given in the question, but the answer reflects what is going to happen in that scenario. Since the man sits on the suitcase, the total weight acting on the ground through the suitcase is that of the suitcase plus the man. Since this force (acting on the ground) is normal force, the statement given in the answer is correct.

Answer 2

A. The magnitude of the normal force equivalent to the weight of the suitcase.

B. It should be equivalent to the sum of the suitcase weight.

The magnitude of the normal force:

a. In the case when the man should pulls the suit in an upward direction so it should be exterted into the upward direction. So here the normal force should be decreased.

b. The man sits on the suitcase so here the total weight should be acted on the ground via the suitcase also the force should be considered as the normal force.

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