You do 174 J of work while pulling your sister back on a swing,whose chain is 5.10 m long.You start with the swing hanging vertically and pull it until the chain makes an angle of 32.0° with the vertical with your sister is at rest.What is your sister's mass,assuming negligible friction?
A) 22.9 kg
B) 19.5 kg
C) 26.3 kg
D) 28.4 kg

Question

Quizplus · Accepted Answer

The work done is equal to the change in gravitational potential energy, which is mgh. The height (h) can be found using trigonometry: h = L - Lcos(θ), where L is the length of the chain. Solving for mass (m) using the work-energy principle gives m = W / (g * h), where W is the work done and g is the acceleration due to gravity (9.8 m/s²). Plugging in the values gives approximately 22.9 kg.

You Do 174 J of Work While Pulling Your Sister