An object is placed on the floor of an elevator. Which of the following statements is...

An object is placed on the floor of an elevator. Which of the following statements is correct regarding the magnitude of the normal force that the elevator floor exerts on the object?

A) It is always the same as the weight of the object regardless the state of motion of the elevator
B) It is less than the weight of the object if the elevator moves downward with a constant velocity

C) It is largest if the elevator undergoes free fall
D) It is less than the weight of the object if the elevator moves upward with an acceleration
E) It is the same as the weight of the object if the elevator is moving with a constant speed

Solutions

Expert Solution

here,

when An object is placed on the floor of an elevator,

the magnitude of the normal force that the elevator floor exerts on the object , N = m* g + m * a

where a is the acceleration of lift

when it is moving at constant velocity in either direction

acceleration is zero and normal force is equal to the weight of object

when the lift is accelerating upwards

the normal force , N = m * ( g + a)

so, the normal force is greater than weight

when the lift is accelerating downwards

the normal force , N = m * ( g - a)

so, the normal force is less than weight

the correct option is ( E) It is the same as the weight of the object if the elevator is moving with a constant speed)

genius_generous answered 1 year ago

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