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Question
During a game of handball, you strike the ball with a mass of 0.06 kg, and it accelerates to the left at a rate of 13.7 ms2
. What force did your hand exert on the ball?(1 point)
Responses

13.76 N
13.76 N

13.64 N
13.64 N

228 N
228 N

0.82 N

1 answer

To find the force exerted on the ball, you can use Newton's second law of motion, which states that \( F = m \cdot a \), where:

  • \( F \) is the force,
  • \( m \) is the mass of the object (in kg),
  • \( a \) is the acceleration (in m/s²).

Given:

  • \( m = 0.06 \) kg
  • \( a = 13.7 \) m/s²

Now calculate the force:

\[ F = 0.06 , \text{kg} \cdot 13.7 , \text{m/s}^2 = 0.0822 , \text{N} \]

Rounding to two decimal places gives approximately \( 0.08 , \text{N} \).

It looks like none of the answers provided match the calculation correctly. However, if we were to calculate more accurately:

\[ F = 0.06 \cdot 13.7 = 0.822 , \text{N} \]

This rounds down to approximately 0.82 N, which matches one of your response options. Thus, the force exerted on the ball is:

0.82 N.

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