Question

In a European country a bathroom scale displays its reading in kilograms. When a man stands on this scale, it reads 98.9 kg. When he pulls down on a chin-up bar installed over the scale, the reading decreases to 82.2 kg. What is the magnitude of the force he exerts on the chin-up bar?

Answer 1

The magnitude of the force he exerts on the chin-up bar is 163.06 N.

Step-by-step explanation:

To find the magnitude of the force exerted on the chin-up bar, we need to consider the difference in readings on the bathroom scale. When the man stands on the scale, it reads 98.9 kg. When he pulls down on the chin-up bar, the reading decreases to 82.2 kg. The decrease in reading corresponds to the force exerted by the man on the chin-up bar.

Since weight is equal to mass multiplied by the acceleration due to gravity, we can calculate the difference in weight experienced by the man. The initial weight is 98.9 kg multiplied by 9.8 m/s², which gives 968.62 N. The final weight is 82.2 kg multiplied by 9.8 m/s², which gives 805.56 N. The force exerted on the chin-up bar is the difference between the two, which is 163.06 N.