Question

A 6.7 kg object moves with a velocity of 8 m/s. What's its kinetic energy?
Question 14 options:

A)

214.4 J

B)

167.5 J

C)

53.6 J

D)

26.8 J

Answer 1

The kinetic energy (KE) of an object can be calculated using the formula:

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

where:
- \( m \) is the mass of the object (in kg),
- \( v \) is the velocity of the object (in m/s).

Plugging in the values:

- \( m = 6.7 \, \text{kg} \)
- \( v = 8 \, \text{m/s} \)

Now, substituting these values into the formula:

\[
KE = \frac{1}{2} \times 6.7 \, \text{kg} \times (8 \, \text{m/s})^2
\]
\[
KE = \frac{1}{2} \times 6.7 \times 64
\]
\[
KE = 3.35 \times 64
\]
\[
KE = 214.4 \, \text{J}
\]

Therefore, the kinetic energy of the object is \( 214.4 \, \text{J} \).

The correct answer is:

**A) 214.4 J**