To determine which object has higher kinetic energy, we can use the kinetic energy formula:
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its speed.
For the 5 kg object: \[ KE_1 = \frac{1}{2} \times 5 , \text{kg} \times (10 , \text{m/s})^2 = \frac{1}{2} \times 5 \times 100 = 250 , \text{J} \]
For the 10 kg object: \[ KE_2 = \frac{1}{2} \times 10 , \text{kg} \times (5 , \text{m/s})^2 = \frac{1}{2} \times 10 \times 25 = 125 , \text{J} \]
Now comparing the two kinetic energies:
- \( KE_1 = 250 , \text{J} \) (for the 5 kg object)
- \( KE_2 = 125 , \text{J} \) (for the 10 kg object)
The 5 kg object has a higher kinetic energy than the 10 kg object.
Therefore, the correct response is:
The 5 kg object has higher kinetic energy.
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