Question

In the diagram below, Object A is moving with a speed of 10 m/s and Object B is moving with a speed of 5 m/s. Both objects have a mass of 10 kg. Which object in the diagram has more kinetic energy?

Captionless Image
Responses

Object A
Object A

Object B
Object B

They have the same amount of energy.

Answer 1

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