After pushing a 22.2 kg kid and tricycle over 10.3 m of smooth, level sidewalk from rest, the "combo" is moving at 3.0 m/s. Find the combo's kinetic energy
KE=1/2 masstotal*velocity^2
To find the combo's kinetic energy, we can use the formula:
Kinetic Energy = 0.5 * mass * velocity^2
Here's how to calculate it step by step:
1. Identify the given information from the problem:
- Mass of the combo: 22.2 kg
- Initial velocity (starting from rest): 0 m/s
- Final velocity: 3.0 m/s
2. Calculate the change in velocity:
Δv = final velocity - initial velocity
Δv = 3.0 m/s - 0 m/s
Δv = 3.0 m/s
3. Now, we have all the values needed to calculate the kinetic energy:
- Mass: 22.2 kg
- Velocity: 3.0 m/s
Plug these values into the formula:
Kinetic Energy = 0.5 * mass * velocity^2
Kinetic Energy = 0.5 * 22.2 kg * (3.0 m/s)^2
4. Calculate the square of the velocity term:
(3.0 m/s) ^ 2 = 9 m^2/s^2
5. Now, substitute the values back into the formula and solve:
Kinetic Energy = 0.5 * 22.2 kg * 9 m^2/s^2
Multiply 0.5 * 22.2 kg = 11.1 kg
Kinetic Energy = 11.1 kg * 9 m^2/s^2
Multiply 11.1 kg * 9 m^2/s^2 to get the final answer for kinetic energy.
6. Calculate the multiplication:
Kinetic Energy ≈ 99.9 J (rounded to the nearest whole number)
Therefore, the combo's kinetic energy is approximately 99.9 Joules (J).