To determine which object has more kinetic energy, we can use the formula for kinetic energy (KE):
\[ KE = \frac{1}{2} mv^2 \]
where \(m\) is the mass of the object and \(v\) is its speed.
For Object A:
- Mass (\(m_A\)) = 10 kg
- Speed (\(v_A\)) = 10 m/s
Calculating kinetic energy for Object A: \[ KE_A = \frac{1}{2} \times 10 , \text{kg} \times (10 , \text{m/s})^2 = \frac{1}{2} \times 10 \times 100 = 500 , \text{Joules} \]
For Object B:
- Mass (\(m_B\)) = 10 kg
- Speed (\(v_B\)) = 5 m/s
Calculating kinetic energy for Object B: \[ KE_B = \frac{1}{2} \times 10 , \text{kg} \times (5 , \text{m/s})^2 = \frac{1}{2} \times 10 \times 25 = 125 , \text{Joules} \]
Now, comparing the kinetic energies:
- KE of Object A = 500 Joules
- KE of Object B = 125 Joules
Thus, Object A has more kinetic energy than Object B.
Answer: Object A