To calculate the kinetic energy (KE) of each object, we can use the kinetic energy formula:
\[ KE = \frac{1}{2} mv^2 \]
Where:
- \( m \) is the mass of the object,
- \( v \) is the speed of the object.
Now let's calculate the kinetic energy for each object:
-
For the 5 kg object moving at 10 m/s: \[ KE_1 = \frac{1}{2} (5 , \text{kg}) (10 , \text{m/s})^2 \] \[ KE_1 = \frac{1}{2} (5) (100) \] \[ KE_1 = \frac{1}{2} (500) \] \[ KE_1 = 250 , \text{J} \]
-
For the 10 kg object moving at 5 m/s: \[ KE_2 = \frac{1}{2} (10 , \text{kg}) (5 , \text{m/s})^2 \] \[ KE_2 = \frac{1}{2} (10) (25) \] \[ KE_2 = \frac{1}{2} (250) \] \[ KE_2 = 125 , \text{J} \]
Now we compare the two kinetic energies:
- KE of the 5 kg object = 250 J
- KE of the 10 kg object = 125 J
Therefore, the 5 kg object has a higher kinetic energy.
The correct response is: The 5 kg object has higher kinetic energy.