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What's the kinetic energy of the object? Use [tex]KE = \frac{1}{2} mv^2[/tex].

Erica is competing in the shot put event at a track meet. She hurls a shot with a mass of 4 kilograms at a speed of 9 meters/second. The shot's kinetic energy is [tex]\square[/tex] joules.

Sagot :

GinnyAnsweridn
To find the kinetic energy of the shot, we use the formula for kinetic energy, which is given by:

[tex]\[ KE = \frac{1}{2} m v^2 \][/tex]

Let's break down the problem step by step:

1. Identify the given values:
- Mass ([tex]\(m\)[/tex]) of the shot: 4 kilograms
- Velocity ([tex]\(v\)[/tex]) of the shot: 9 meters per second

2. Substitute the given values into the kinetic energy formula:
[tex]\[ KE = \frac{1}{2} \times 4 \times (9)^2 \][/tex]

3. Calculate the square of the velocity:
[tex]\[ 9^2 = 81 \][/tex]

4. Perform the multiplication:
[tex]\[ \frac{1}{2} \times 4 \times 81 = 2 \times 81 = 162 \][/tex]

Therefore, the kinetic energy of the shot is:

[tex]\[ \boxed{162} \][/tex]

So, the shot's kinetic energy is 162 joules.
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