3. Which has greater kinetic energy: a 2.0 kg mass moving at 3.0 m/s ora 1.0 kg mass at 6.0 m/s?
Answer (1)
Answer:To find out which mass has greater kinetic energy, we can use the formula for kinetic energy (KE), which is:\[ KE = \frac{1}{2} m v^2 \]where:- \( m \) is the mass (in kg)- \( v \) is the velocity (in m/s)Let's calculate the kinetic energy for each mass.1. **For the 2.0 kg mass moving at 3.0 m/s:**\[KE_1 = \frac{1}{2} \times 2.0 \, \text{kg} \times (3.0 \, \text{m/s})^2\]\[KE_1 = \frac{1}{2} \times 2.0 \times 9.0\]\[KE_1 = 1.0 \times 9.0 = 9.0 \, \text{J}\]2. **For the 1.0 kg mass moving at 6.0 m/s:**\[KE_2 = \frac{1}{2} \times 1.0 \, \text{kg} \times (6.0 \, \text{m/s})^2\]\[KE_2 = \frac{1}{2} \times 1.0 \times 36.0\]\[KE_2 = 0.5 \times 36.0 = 18.0 \, \text{J}\]Now, comparing the two:- \( KE_1 = 9.0 \, \text{J} \)- \( KE_2 = 18.0 \, \text{J} \)The 1.0 kg mass moving at 6.0 m/s has greater kinetic energy.
