Answer:
213.45 J
Explanation:
To find the kinetic energy of a golf ball given its mass and velocity, we will use the kinetic energy formula and ensure our final answer is rounded to two decimal places.
[tex]\boxed{ \begin{array}{ccc} \text{\underline{Kinetic Energy:}} \\\\ K = \dfrac{1}{2}mv^2 \\\\ \text{Where:} \\ \bullet \ K \ \text{is the kinetic energy} \\ \bullet \ m \ \text{is the mass of the object} \\ \bullet \ v \ \text{is the velocity of the object} \end{array}}[/tex]
[tex]\Longrightarrow K = \dfrac{1}{2}(0.18 \text{ kg})(48.7 \text{ m/s\\})^2\\\\\\\\\therefore K \approx \boxed{ 213.45 \text{ J}}[/tex]
Thus, the kinetic energy of the golf ball is 213.45 joules, rounded to two decimal places.
The kinetic energy of a 0.18 kg golf ball travelling at 48.7 m/s is calculated to be approximately 213.45 J using the kinetic energy formula KE = (1/2)mv².
To find the kinetic energy (KE) of the golf ball, we use the formula:
KE = (1/2)mv²
where m is the mass and v is the velocity.
Given:
Substitute the values into the formula:
KE = (1/2) * 0.18 kg * (48.7 m/s)²
KE = 0.09 * 2371.69
KE ≈ 213.45 J
Therefore, the kinetic energy of the golf ball is approximately 213.45 J.