You have a mass of 56 kg. If you are on a set of scales on an elevator, what will the scales read when accelerating upward at 2 m/s2?Use g = 10 m/s2Question 8Answera.67.2 kgb.56 kgc.11.2 kgd.44.8 kge.560 kgClear my choice

To solve this problem, we need to understand that the weight of an object is the force that gravity exerts on it. The force of gravity on an object is its mass times the acceleration due to gravity (F = m*g).

However, when you are in an elevator accelerating upwards, you feel heavier because you are experiencing the force of gravity plus the force of the elevator's acceleration.

So, the total force you feel (which is what the scale measures) is your mass times the sum of the acceleration due to gravity and the acceleration of the elevator (F = m*(g+a)).

Given: Mass (m) = 56 kg Acceleration due to gravity (g) = 10 m/s^2 Elevator's acceleration (a) = 2 m/s^2

Substitute these values into the equation:

F = 56 kg * (10 m/s^2 + 2 m/s^2) = 56 kg * 12 m/s^2 = 672 kg*m/s^2

Since 1 Newton (the unit of force) is equivalent to 1 kg*m/s^2, the force you feel is 672 Newtons.

However, the scale measures weight in kilograms, not Newtons. To convert Newtons back to kilograms, we divide by the acceleration due to gravity (10 m/s^2):

Weight = 672 N / 10 m/s^2 = 67.2 kg

So, the scales would read 67.2 kg when accelerating upward at 2 m/s^2. The correct answer is a. 67.2 kg.