To determine which object has higher 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.
Let's calculate the kinetic energy for both objects:
- For the 5 kg object moving at 10 m/s:
\[ KE_1 = \frac{1}{2} \times 5 , \text{kg} \times (10 , \text{m/s})^2 \] \[ KE_1 = \frac{1}{2} \times 5 \times 100 = \frac{500}{2} = 250 , \text{J} \]
- For the 10 kg object moving at 5 m/s:
\[ KE_2 = \frac{1}{2} \times 10 , \text{kg} \times (5 , \text{m/s})^2 \] \[ KE_2 = \frac{1}{2} \times 10 \times 25 = \frac{250}{2} = 125 , \text{J} \]
Now we can compare the kinetic energies:
- The 5 kg object has a kinetic energy of 250 J.
- The 10 kg object has a kinetic energy of 125 J.
Thus, the 5 kg object has higher kinetic energy.
So the correct response is: The 5 kg object has higher kinetic energy.