Question
During a game of handball, you strike the ball with a mass of .06 kg, and it accelerates to the left at a rate of 13.7 m/s². What force did your hand exert on the ball? (1 point)
1. 228 N
2. 13.76 N
3. 13.64 N
4. 0.82 N
Answers
GPT-4o mini
To calculate the force exerted on the ball, we can use Newton's second law of motion, which states that Force (F) is equal to mass (m) times acceleration (a):
\[ F = m \times a \]
Here, the mass of the ball \( m \) is 0.06 kg and the acceleration \( a \) is 13.7 m/s².
Now, we can plug in the values:
\[ F = 0.06 \, \text{kg} \times 13.7 \, \text{m/s}^2 \]
\[ F = 0.822 \, \text{N} \]
Rounding to two decimal places, we find that:
\[ F \approx 0.82 \, \text{N} \]
Thus, the correct answer is:
**4. 0.82 N**
\[ F = m \times a \]
Here, the mass of the ball \( m \) is 0.06 kg and the acceleration \( a \) is 13.7 m/s².
Now, we can plug in the values:
\[ F = 0.06 \, \text{kg} \times 13.7 \, \text{m/s}^2 \]
\[ F = 0.822 \, \text{N} \]
Rounding to two decimal places, we find that:
\[ F \approx 0.82 \, \text{N} \]
Thus, the correct answer is:
**4. 0.82 N**