Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

A passenger of mass m is in an elevator accelerating upwards with acceleration a. The force exerted by the floor on the passenger (the apparent weight) is:
Options
A mg
B m(g - a)
C m(g + a)
Correct Answer
D m(a - g)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Applying Newton's second law in the vertical direction: N - mg = ma, where N is the normal force from the floor. Solving for N gives N = mg + ma = m(g + a), which is greater than the true weight.

Hint

The normal force must not only support the weight but also provide the upward acceleration.

Question Info