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 answer

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