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9. a machine uses 200 w of power to move an object 15 m in 25 seconds. …

Question

  1. a machine uses 200 w of power to move an object 15 m in 25 seconds. find the force and the work done.

600 n, 6,500 j
200 n, 3,000 j
50 n, 250 j
333 n, 5,000 j

Explanation:

Step1: Calculate work done

Work \(W = P\times t\), where \(P = 200\space W\) and \(t = 25\space s\).
\(W=200\times25 = 5000\space J\)

Step2: Calculate force

Work \(W = F\times d\), so \(F=\frac{W}{d}\). Given \(d = 15\space m\) and \(W = 5000\space J\).
\(F=\frac{5000}{15}\approx333\space N\)

Answer:

333 N, 5,000 J