Question
4. How much kinetic energy does a 2 kg toy car have if it is moving at 3m/s 5. Which has the greater effect on the kinetic energy, the mass or the velocity, or are the equal?
Solution
4.6
(211 Votes)
Victor
Master · Tutor for 5 years
Answer
4. **Kinetic Energy Calculation:**The formula for kinetic energy is KE = (1/2)mv², where KE is kinetic energy, m is mass, and v is velocity.In this case, m = 2 kg and v = 3 m/s. Plugging these values into the formula:KE = (1/2) * 2 kg * (3 m/s)²KE = 1 kg * 9 m²/s²KE = 9 JoulesTherefore, the toy car has 9 Joules of kinetic energy.5. **Effect of Mass and Velocity on Kinetic Energy:**Velocity has a greater effect on kinetic energy than mass. This is because velocity is squared in the kinetic energy formula, while mass is not. Let's illustrate with an example:* **Doubling the mass:** If you double the mass (keeping velocity constant), you double the kinetic energy.* **Doubling the velocity:** If you double the velocity (keeping mass constant), you quadruple the kinetic energy (because 2² = 4).Therefore, a change in velocity has a more significant impact on kinetic energy than an equivalent change in mass.