Answer :
To find the force required to accelerate a 15 kg ball at a rate of 5.6 m/s², you can use Newton's second law of motion. Newton's second law states that force (F) is equal to mass (m) multiplied by acceleration (a). This is written as:
[tex]\[ F = m \times a \][/tex]
Let's break it down step-by-step:
1. Identify the given values:
- The mass (m) of the ball is 15 kg.
- The acceleration (a) is 5.6 m/s².
2. Plug the values into the formula:
[tex]\[ F = 15 \, \text{kg} \times 5.6 \, \text{m/s}² \][/tex]
3. Calculate the force:
- Multiply the mass by the acceleration:
[tex]\[ F = 84 \, \text{N} \][/tex]
The force required to accelerate the ball is 84 Newtons. Therefore, the correct answer is option b. 84 N.
[tex]\[ F = m \times a \][/tex]
Let's break it down step-by-step:
1. Identify the given values:
- The mass (m) of the ball is 15 kg.
- The acceleration (a) is 5.6 m/s².
2. Plug the values into the formula:
[tex]\[ F = 15 \, \text{kg} \times 5.6 \, \text{m/s}² \][/tex]
3. Calculate the force:
- Multiply the mass by the acceleration:
[tex]\[ F = 84 \, \text{N} \][/tex]
The force required to accelerate the ball is 84 Newtons. Therefore, the correct answer is option b. 84 N.
