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?
Responses

0.82 N
0.82 N - no response given

13.64 N
13.64 N - no response given

228 N
228 N - no response given

13.76 N

Answer 1

To find 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:
- Mass (\( m \)) = 0.06 kg
- Acceleration (\( a \)) = 13.7 m/s²

Now, we can substitute the values into the formula:

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

Calculating that gives:

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

Rounding to two decimal places, we get \( F \approx 0.82 \, \text{N} \).

Therefore, the force your hand exerted on the ball is **0.82 N**.