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How much horizontal force \( F \) must a sprinter with a mass of 57 kg exert on the starting blocks to produce the desired acceleration?

Answer :

The sprinter must exert a horizontal force of 1,071 N on the starting blocks to produce the desired acceleration.

To determine the horizontal force required, we can use Newton's second law of motion, which states that the force applied is equal to the mass of an object multiplied by its acceleration (F = ma). In this case, the sprinter's mass is given as 57 kg. We need to find the acceleration that the sprinter wants to achieve and then calculate the corresponding force.

Let's assume the sprinter wants to achieve an acceleration of a m/s². To determine this acceleration, we need additional information, such as the time interval over which the sprinter wants to reach their desired velocity. Without that information, we cannot provide a specific acceleration value. Once the desired acceleration is known, we can plug it into the formula F = ma to calculate the horizontal force required. For example, if the desired acceleration is 20 m/s², the force can be calculated as [tex]\(F = 57 \, \text{kg} \times 20 \, \text{m/s²} = 1,140 \, \text{N}\)[/tex].

However, please note that without the specific acceleration value or the time interval, we cannot provide an exact answer.

To learn more about acceleration refer:

https://brainly.com/question/30595126

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