Question

a gardener uses a wheelbarrow to move 20 kilograms of soil from a compost pile to a flower bed, a distance of 53 meters. the wheelbarrow has a mass of 17 kilograms. he expends 94.5 newtons of force. how much work does the gardener do? (1 point) 3,496.5 n 135.4 n 1,961 n 5,008.5 n

Explanation:

Step1: Recall the work formula

The formula for work is \( W = F \times d \), where \( W \) is work, \( F \) is force, and \( d \) is distance.

Step2: Identify given values

Force \( F = 94.5 \, \text{N} \), distance \( d = 53 \, \text{m} \).

Step3: Calculate work

Substitute into the formula: \( W = 94.5 \times 53 \).
Calculate \( 94.5 \times 53 = 94.5 \times (50 + 3) = 94.5 \times 50 + 94.5 \times 3 = 4725 + 283.5 = 5008.5 \, \text{J} \) (note: work unit is Joule, but options have N, likely a typo in units, but calculation follows force×distance).

Answer:

5,008.5 N (the option with this value)