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/s. What force did your hand exert on the ball?
(1 point)
• 228 N
• 0.82 N
• 13.76 N
O 13.64 N
(1 point)
• 228 N
• 0.82 N
• 13.76 N
O 13.64 N
Answers
GPT-4o mini
To calculate the force exerted on the ball, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.
Given:
- The mass (\( m \)) of the ball = 0.06 kg
- The acceleration (\( a \)) of the ball = 13.7 m/s²
Now, we can plug in the values:
\[ F = 0.06 \, \text{kg} \cdot 13.7 \, \text{m/s}^2 \]
\[ F = 0.822 \, \text{N} \]
Based on the options provided, the closest match is:
• **0.82 N**
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.
Given:
- The mass (\( m \)) of the ball = 0.06 kg
- The acceleration (\( a \)) of the ball = 13.7 m/s²
Now, we can plug in the values:
\[ F = 0.06 \, \text{kg} \cdot 13.7 \, \text{m/s}^2 \]
\[ F = 0.822 \, \text{N} \]
Based on the options provided, the closest match is:
• **0.82 N**