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

1 answer

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