Question

1. a machine uses a force of 200 n to do 20,000 j of work in 20 s. find the distance moved and the power.

50 m, 500 w
100 m, 1,000 w
200 m, 2,000 w
80 m, 800 w

Explanation:

Step1: Calculate distance using work - force formula

Work \(W = F\times d\), so \(d=\frac{W}{F}\). Given \(W = 20000\space J\) and \(F=200\space N\), then \(d=\frac{20000}{200}=100\space m\).

Step2: Calculate power using work - time formula

Power \(P=\frac{W}{t}\). Given \(W = 20000\space J\) and \(t = 20\space s\), then \(P=\frac{20000}{20}=1000\space W\).

Answer:

100 m, 1000 W