As shown below, an object with a mass of 5 kg is moving at a speed of 10 m/s. Another object with a mass of 10 kg is moving at a speed of 5 m/s.

Question

Which of the objects has higher kinetic energy?

(1 point)
Responses

The 10 kg object has higher kinetic energy.
The 10 kg object has higher kinetic energy.

The 5 kg object has higher kinetic energy.
The 5 kg object has higher kinetic energy.

The objects have equal kinetic energy.
The objects have equal kinetic energy.

Both objects have zero kinetic energy.
Both objects have zero kinetic energy.
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Answer 1

To determine which object has higher kinetic energy, we can use the formula for kinetic energy (KE), which is given by:

\[ KE = \frac{1}{2}mv^2 \]

where \(m\) is the mass of the object and \(v\) is its velocity.

For the 5 kg object:

• Mass (\(m\)) = 5 kg
• Velocity (\(v\)) = 10 m/s

Calculating the kinetic energy:

\[ KE_1 = \frac{1}{2} \times 5 , \text{kg} \times (10 , \text{m/s})^2 = \frac{1}{2} \times 5 \times 100 = 250 , \text{J} \]

For the 10 kg object:

• Mass (\(m\)) = 10 kg
• Velocity (\(v\)) = 5 m/s

Calculating the kinetic energy:

\[ KE_2 = \frac{1}{2} \times 10 , \text{kg} \times (5 , \text{m/s})^2 = \frac{1}{2} \times 10 \times 25 = 125 , \text{J} \]

Now we can compare the two kinetic energies:

• Kinetic energy of the 5 kg object: 250 J
• Kinetic energy of the 10 kg object: 125 J

Thus, the 5 kg object has higher kinetic energy.

Final Answer: The 5 kg object has higher kinetic energy.