Question

a wheel of mass 38 kg is lifted to a height of 0.8 m. how much gravitational potential energy is added to the wheel? acceleration due to gravity is g = 9.8 m/s².
a. 30.4 j
b. 11,321 j
c. 297.9 j
d. 3.1 j

Explanation:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy is \(U = mgh\), where \(m\) is the mass, \(g\) is the acceleration due to gravity, and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(m = 38\space kg\), \(g=9.8\space m/s^{2}\), and \(h = 0.8\space m\).
Substitute these values into \(U=mgh\):
\(U=(38)(9.8)(0.8)\)
First, calculate \(38\times9.8 = 372.4\)
Then, \(372.4\times0.8=297.92\approx297.9\space J\)

Answer:

C. \(297.9\space J\)