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A 55-kg baseball player slides into third base with an initial speed of 4.6 m/s.If the coefficient of kinetic friction between the player and the ground is 0.50, what is the player's acceleration?

Respuesta :

Answer:

The acceleration of the player is - 4.9 m/s²

Explanation:

The given is:

1. The mass of the player is 55 kg

2. His initial speed is 4.6 m/s

3. The coefficient of the kinetic fraction between the player and the

    ground is 0.50

We need to find the player acceleration

According to Newton's Law

→ ∑ forces in direction of motion = mass × acceleration

There is only the friction force opposite to the motion

→ Friction force = μR

where μ is the coefficient of friction and R is the normal reaction

→ The normal reaction R = mg

where m is the mass and g is the acceleration of gravity

→ m = 55 kg , g = 9.8 m/s²

→ R = 55 × 9.8 = 539 N

→ ∑ F = - μR

→ - μR = m × a

→ μ = 0.5 , R = 539 N , m = 55

→ -(0.5)(539) = 55 × a

→ - 269.5 = 55 a

Divide both sides by 55

→ a = - 4.9 m/s²

The acceleration of the player is - 4.9 m/s²

Learn more:

You can learn more about Newton's law in brainly.com/question/11911194

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