Question

A stationary soccer ball of mass m = 0.88 kg is kicked with a constant force of f = 19 N. The player's foot is in contact with the ball for t = 0.16 s. What is the acceleration of the soccer ball during the kick?

1) 0.12 m/s²
2) 1.19 m/s²
3) 118 m/s²
4) 11.9 m/s²

Answer 1

The acceleration of a soccer ball when kicked with a force of 19 N and mass of 0.88 kg is calculated using Newton's second law (a = f / m), resulting in an acceleration of 21.59 m/s².

Step-by-step explanation:

The question is asking for the acceleration of a soccer ball during the kick when a constant force is applied. The acceleration (a) can be found using Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass (m), as expressed in the formula a = f / m. Given the mass m = 0.88 kg and the applied force f = 19 N, we can calculate the acceleration.

Step-by-step calculation:

• First, write down the known quantities:
  
  • Mass of the ball (m) = 0.88 kg
  • Force applied (f) = 19 N
• Now, use Newton's second law formula to find the acceleration:
  
  • a = f / m
  • a = 19 N / 0.88 kg
  • a = 21.59 m/s²

The acceleration of the soccer ball during the kick is therefore 21.59 m/s², which is not one of the given options in the question. This suggests that there might have been an error in the options provided or in the question setup itself.