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)

1. 228 N

2. 13.76 N

3. 13.64 N

4. 0.82 N

1 answer

To calculate the force exerted on the ball, we can use Newton's second law of motion, which states that Force (F) is equal to mass (m) times acceleration (a):

\[ F = m \times a \]

Here, the mass of the ball \( m \) is 0.06 kg and the acceleration \( a \) is 13.7 m/s².

Now, we can plug in the values:

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

\[ F = 0.822 , \text{N} \]

Rounding to two decimal places, we find that:

\[ F \approx 0.82 , \text{N} \]

Thus, the correct answer is:

4. 0.82 N