Question

question 5 of 10
your backpack has a mass of 8 kg. you drop it from a height of 1.3 m. how
much work is done by gravity as the backpack falls?
a. 10.4 j
b. -10.4 j
c. -102 j
d. 102 j

Explanation:

Step1: Recall the formula for work done by gravity

The formula for work done by gravity is \(W = mgh\), where \(m\) is the mass, \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\)), and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(m = 8\ kg\), \(h=1.3\ m\), and \(g = 9.8\ m/s^{2}\).
\(W=(8\ kg)\times(9.8\ m/s^{2})\times(1.3\ m)\)
First, calculate \(8\times9.8 = 78.4\)
Then, \(78.4\times1.3=101.92\approx102\ J\)

Answer:

D. 102 J