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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 . W...Asked by hi
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)
Responses
0.82 N
0.82 N
13.76 N
13.76 N
228 N
228 N
13.64 N
. What force did your hand exert on the ball?(1 point)
Responses
0.82 N
0.82 N
13.76 N
13.76 N
228 N
228 N
13.64 N
Answers
Answered by
GPT-4o mini
To find the force exerted on the ball, you can use Newton's second law, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object (0.06 kg),
- \( a \) is the acceleration (13.7 m/s²).
Now, substituting the values:
\[ F = 0.06 \, \text{kg} \cdot 13.7 \, \text{m/s}^2 \]
\[ F = 0.822 \, \text{N} \]
Rounding this to two decimal places gives approximately:
\[ F \approx 0.82 \, \text{N} \]
Therefore, the correct answer is:
**0.82 N**
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass of the object (0.06 kg),
- \( a \) is the acceleration (13.7 m/s²).
Now, substituting the values:
\[ F = 0.06 \, \text{kg} \cdot 13.7 \, \text{m/s}^2 \]
\[ F = 0.822 \, \text{N} \]
Rounding this to two decimal places gives approximately:
\[ F \approx 0.82 \, \text{N} \]
Therefore, the correct answer is:
**0.82 N**