What is the time it takes for a player to come to a stop from sliding?

In summary, the time it takes for a person to come to a stop from sliding to third base can be calculated using the following formula: time = initial velocity / (coefficient of kinetic friction * acceleration due to gravity). The acceleration due to gravity is 9.81 m/s^2 [down], the mass is 80 kg, the coefficient of kinetic friction is 0.70, and the initial velocity is 8.23 m/s [forward]. By setting the net force equal to the force of kinetic friction, which is in the opposite direction of the acceleration, the mass can be eliminated from the equation. Therefore, the mass is not necessary to solve for time.
  • #1
chown

Homework Statement


A person slides to third base. The coefficient of kinetic friction between player and the ground is 0.70. His velocity at the start of the slide is 8.23m/s [forward].
Prove that the time it takes the player to come to a stop from sliding is:
time = initial velocity divided by (coefficient of kinetic friction X acceleration due to gravity)

acceleration due to gravity = 9.81 m/s^2 [down]
Mass = 80 kg
coefficient of kinetic friction = 0.70
initial velocity is 8.23 m/s [forward]

Homework Equations


Net force = mass times acceleration
coefficient of kinetic friction = force of friction/normal force
[tex]\Sigma F = net force[/tex]

The Attempt at a Solution


The net force must be equal to the force of kinetic friction. Acceleration is therefore in the direction backwards. Without the mass given, I'm able to suggest equations as proof in a limited manner because the normal force, a necessary component in finding the force of friction, is proportional to the mass. How can I solve for time without the mass?
 
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  • #2
Are you sure you need the mass? Try writing out the expression for the acceleration of the person due to the frictional force.
 
  • #3
Thank you.
 

1. What is the coefficient of friction in a horizontal motion problem?

The coefficient of friction is a measure of the amount of resistance between two surfaces in contact. It is represented by the symbol μ and can range from 0 (no friction) to 1 (extremely high friction).

2. How does the coefficient of friction affect horizontal motion?

The coefficient of friction affects horizontal motion by determining the amount of force needed to overcome the friction between two surfaces. A higher coefficient of friction will require more force to maintain motion, while a lower coefficient of friction will allow for easier motion.

3. What is the initial velocity in a horizontal motion problem?

The initial velocity is the speed at which an object begins its horizontal motion. It is measured in meters per second (m/s) and can be either positive (moving in the positive direction) or negative (moving in the negative direction).

4. How is the initial velocity calculated in a horizontal motion problem?

The initial velocity can be calculated using the equation v0 = d/t, where v0 is the initial velocity, d is the distance traveled, and t is the time taken. Alternatively, it can also be calculated using the equation v0 = u + at, where u is the initial velocity, a is the acceleration, and t is the time taken.

5. How do you solve a horizontal motion problem involving coefficient of friction and initial velocity?

To solve a horizontal motion problem involving coefficient of friction and initial velocity, you will need to use the equations of motion and the coefficient of friction to determine the forces acting on the object. From there, you can use Newton's laws of motion to calculate the acceleration and ultimately solve for the final velocity or distance traveled.

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