Question

If the sum of the vertical forces (FV) is 1218N acting on a 75kg dancer, what is the dancer's vertical acceleration?

a. 101.94 m/s²
b. 686.70 m/s²
c. 16.24 m/s²
d. Not enough information to solve

Answer 1

Using Newton's second law, the dancer's vertical acceleration is calculated as 16.24 m/s² when subjected to a vertical force of 1218N on their mass of 75kg.

Step-by-step explanation:

To calculate the vertical acceleration of a 75kg dancer when the sum of the vertical forces acting on them is 1218N, you can use Newton's second law, which states that force equals mass times acceleration (F = m*a). To find the acceleration, you can rearrange the formula to a = F/m.

Firstly, calculate the vertical acceleration (a):

• a = FV / m
• a = 1218N / 75kg
• a = 16.24 m/s²

Thus, the dancer's vertical acceleration is 16.24 m/s².