Question

fill in the blank question
when a 52 kg person runs forward at a speed of 1.4 m/s, the runner has j of kinetic energy (to two significant digits)
need help? review these concept resources.
read about the concept

Explanation:

Step1: Write the formula for kinetic energy

The formula for kinetic energy is \(K = \frac{1}{2}mv^{2}\), where \(m\) is the mass and \(v\) is the velocity.

Step2: Substitute the given values into the formula

Given \(m = 52\space kg\) and \(v=1.4\space m/s\). Substitute these values into the formula: \(K=\frac{1}{2}\times52\times(1.4)^{2}\).
First, calculate \((1.4)^{2}=1.96\). Then, \(\frac{1}{2}\times52 = 26\).

Step3: Calculate the kinetic energy

Multiply \(26\) by \(1.96\): \(K = 26\times1.96=50.96\).
Rounding to two significant digits, \(K\approx51\).

Answer:

\(51\)