Question

clarissa climbs into the back of the truck to tie the lawn mower in place. the back of the truck is 1.1m above the ground. if she does 528 joules of work raising herself to the truck bed, how much does she weigh?
a 500 n
b 395 n
c 400 n
d 480 n

Explanation:

Step1: Recall the work formula

Work \(W = F\times d\), where \(W\) is work, \(F\) is force (her weight \(F = mg\)), and \(d\) is the distance (height \(h\)). Here \(W = 528\space J\) and \(h=1.1\space m\).

Step2: Solve for force \(F\)

From \(W = F\times h\), we can express \(F=\frac{W}{h}\). Substitute \(W = 528\space J\) and \(h = 1.1\space m\) into the formula: \(F=\frac{528}{1.1}\).

$$F=\frac{528}{1.1}= 480\space N$$

Answer:

d. 480 N