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)
Responses

0.82 N
0.82 N

13.64 N
13.64 N

228 N
228 N

13.76 N
13.76 N
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1 answer

To calculate the force exerted on the ball, we can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.

Given:

  • Mass of the ball, \( m = 0.06 \) kg
  • Acceleration, \( a = 13.7 \) m/s²

Now, we can plug in the values:

\[ F = ma = 0.06 , \text{kg} \times 13.7 , \text{m/s}^2 \]

Calculating this:

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

Rounding to two decimal places, the force is approximately \( 0.82 , \text{N} \).

So the correct answer is:

0.82 N