Question

Some workers are trying to lift up to the third floor of a building, which is 8.0 meters above the ground. The piano is 500 kg what is the weight of the piano

Answer 1

Answer:

Weight = 4900 N

Explanation:

Given:

Mass of the piano is, $m=500\ kg$

Acceleration due to gravity is, $g=9.8\ m/s^2$

Height to which the piano is raised is 8.0 m.

We are asked to determine the weight of the piano.

We know that, weight of a body is nothing but gravitational force acting on it by the center of Earth. It is equal to the product of mass and acceleration due to gravity.

Weight is independent of height til the height is very less than the radius of Earth. At very high altitudes which are comparable to the radius of Earth, the value of 'g' changes and hence the weight. But, here the height is very small and hence the value of 'g' equals 9.8 m/s² only.

Thus, weight of the piano is given as:

Weight = Mass $\times$ Acceleration due to gravity

Weight = $mg$

Weight = $(500\ kg)(9.8\ m/s^2)=4900\ N$

Weight is a force so, its unit is same as that of force and hence it is measured in Newtons.

Therefore, the weight of the piano is 4900 N.