Answer: 85 kilograms
Explanation:
The formula for kinetic energy is given as:
[tex]K=\dfrac{1}{2} mv^{2}[/tex], where:
- K represents the kinetic energy
- m represents the mass of the object
- v represents the velocity of the object
In this case, we are given the kinetic energy K and the velocity v of the person. So, K = 170 and v = 2. Plugging these values into the formula:
[tex]K=\dfrac{1}{2} mv^{2}[/tex]
[tex]170 = \dfrac{1}{2} m(2^{2} )[/tex]
Solve for m:
[tex]170 = \dfrac{1}{2} m(4)[/tex]
170 = 2m
m = 85 kg
The mass of the person is 85 kilograms.
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