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13. a car with a mass of 1120 n is traveling at a speed of 40 m/s. how …

Question

  1. a car with a mass of 1120 n is traveling at a speed of 40 m/s. how much kinetic energy does the car have?

Explanation:

Step1: Calculate the mass of the car

We know that weight \(W = mg\), where \(W = 1120N\) and \(g= 9.8m/s^{2}\). Then \(m=\frac{W}{g}\).

$$m=\frac{1120}{9.8}\approx114.29kg$$

Step2: Calculate the kinetic energy

The formula for kinetic energy is \(K.E.=\frac{1}{2}mv^{2}\), where \(m = 114.29kg\) and \(v = 40m/s\)

$$K.E.=\frac{1}{2}\times114.29\times40^{2}$$
$$K.E. = 57.145\times1600$$
$$K.E.=91432J$$

Answer:

The car has approximately \(91432J\) of kinetic energy.