Question

1. a hammer hits a nail with a force of 1500 n with a contact time of 26 ms. what is the impulse imparted by the hammer? a. 3.9 x 10 n·s b. 3.9 x 10⁴ n·s c. 1.0 x 10⁵ n·s d. 1.0 x 10⁻⁵ n·s

Explanation:

Step1: Convert time unit

Convert \(26\ ms\) to \(s\). Since \(1\ ms = 10^{-3}\ s\), then \(t = 26\times10^{-3}\ s\).

Step2: Use impulse formula

The formula for impulse \(J\) is \(J = F\times t\). Given \(F = 1500\ N\) and \(t = 26\times 10^{-3}\ s\), then \(J=1500\times26\times10^{-3}\).

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Answer:

A. \(3.9\times 10\ N\cdot s\)