How far does a baseball player slide before coming to rest at third base?

In summary, the question asks for the distance a baseball player slides into third base, given an initial speed of 7.90 m/s and a coefficient of kinetic friction of 0.41. The suggested solution involves using the formulas for net force and friction, and taking into account the negative acceleration due to gravity. The final solution involves equating the energy expended by the player sliding with the initial energy of the player's motion.
  • #1
theredlight
2
0

Homework Statement


A baseball player slides into third base with an initial speed of 7.90 m/s. If the coefficient of kinetic friction between the player and the ground is .41, how far does the player slide before coming to rest?


Homework Equations





The Attempt at a Solution



I have absolutely no idea how to solve this question.
 
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  • #2
I'll start it for you:

f(net) = ma

f(friction) = ma

mu(k)*g*m = ma

mu(k)*g = a

Then you can use these two formulas and you should be able to solve it:

a = (v(final)-v(initial))/t

d = 1/2*a*t^2 + v(initial)tJust a hint: remember that g is negative.
 
  • #3
The energy the player expends sliding is frictional force times distance. The initial energy of the player coming in is (1/2)*m*v^2. Equate them.
 

FAQ: How far does a baseball player slide before coming to rest at third base?

What is kinetic friction?

Kinetic friction is the force that resists the motion of an object on a surface. It is caused by the microscopic roughness of the two surfaces in contact, which creates resistance and slows down the movement of the object.

How is kinetic friction different from static friction?

Kinetic friction occurs when an object is already in motion, while static friction occurs when an object is at rest and trying to be moved. Kinetic friction is usually less than static friction, as it takes more force to overcome the initial resistance of static friction.

What factors affect the magnitude of kinetic friction?

The magnitude of kinetic friction depends on the normal force between the two surfaces, the roughness or smoothness of the surfaces, and the materials they are made of. Other factors that can affect kinetic friction include the speed and surface area of the object in motion.

How is kinetic friction calculated?

The magnitude of kinetic friction can be calculated using the formula F = μkN, where F is the force of kinetic friction, μk is the coefficient of kinetic friction, and N is the normal force between the two surfaces. The coefficient of kinetic friction is a constant value that depends on the materials in contact.

How can kinetic friction be reduced?

Kinetic friction can be reduced by using lubricants, such as oil or grease, between the two surfaces in contact. These substances can reduce the roughness and increase the smoothness of the surfaces, allowing for less resistance and lower kinetic friction. Additionally, using smoother materials or making the surfaces smoother can also reduce kinetic friction.

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