College

A piano has a mass of 99 kg. What is the weight of the piano?

A. 970 N
B. 842 N
C. 1030 N
D. 1129 N

Answer :

To find the weight of the piano, we will use the formula for weight:

[tex]\[ \text{Weight} = \text{mass} \times \text{gravitational acceleration} \][/tex]

Here are the steps to solve the problem:

1. Identify the mass of the piano: The mass is given as 99 kg.

2. Identify the gravitational acceleration: On Earth, the standard gravitational acceleration is approximately 9.8 m/s².

3. Calculate the weight:
[tex]\[
\text{Weight} = 99 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 970.2 \, \text{N}
\][/tex]

4. Round the result: The weight comes out to be 970.2 N. When rounding to the nearest whole number, we get approximately 970 N.

5. Select the closest answer: Comparing this with the provided options, 970 N corresponds to option A.

Therefore, the weight of the piano is approximately 970 N, and the correct choice is A. 970 N.