Question

An elevator is accelerating upwards with a uniform acceleration of (2 , textm/s^2). A student, with a mass of 51 kg, stands on a scale in the elevator. What is the apparent weight of the student when the elevator is accelerating upwards?

Answer 1

The apparent weight of the student when the elevator is accelerating upwards with a uniform acceleration of 2 m/s² is 601.8 N.

Step-by-step explanation:

When the elevator is accelerating upwards with a uniform acceleration of 2 m/s², the apparent weight of the student can be calculated using Newton's second law. The apparent weight is the force exerted by the scale on the student. In this case, the apparent weight is equal to the sum of the student's mass and the force due to the acceleration:

Apparent weight = mass × (acceleration due to gravity + acceleration of the elevator)

Substituting the given values:

Apparent weight = 51 kg × (9.8 m/s² + 2 m/s²) = 51 kg × 11.8 m/s² = 601.8 N