High School

A 84-kg man stands on a bathroom scale inside an elevator. The scale measures in units of newtons. The elevator continues upward at a constant velocity for 8.50 seconds. What does the scale read?

Answer :

If the elevator continues upward at constant velocity for 8.50 s, the scale reading will be 824.04 N.

When the elevator is moving at a constant velocity, the man's acceleration is zero. Therefore, the net force acting on him must be zero. The only forces acting on him are his weight and the normal force from the scale. Therefore, the normal force must be equal in magnitude and opposite in direction to his weight.

The weight of the man can be calculated using the formula F = mg, where m is the mass of the man and g is the acceleration due to gravity (9.81 m/s²). So,

F(weight) = m * g = 84 kg * 9.81 m/s² = 824.04 N

Since the elevator is moving at a constant velocity, the normal force must be equal in magnitude to the weight of the man.

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