A hockey puck slides with an initial speed of 48 m/s on a large frozen lake. If the coefficient of kinetic friction between the puck and the ice is 0.030, what is the speed of the puck after 11 s?

force=mass*acceleration

acceleration=force/mass=mu*mass*g/mass
= mu*g

Vf=vi-a*t=vi-mu*g*time

To find the speed of the puck after 11 seconds, we need to consider the forces acting on the puck.

The main force opposing the motion of the hockey puck is the kinetic friction between the puck and the ice. The magnitude of the force of kinetic friction can be calculated using the equation:

Frictional Force = coefficient of kinetic friction * Normal force

The normal force is the force exerted by the surface perpendicular to the plane of contact. In this case, since the puck is sliding on a horizontal surface, the normal force is equal to the weight of the puck, which can be calculated using:

Weight = mass * gravity

Once we have the magnitude of the force of kinetic friction, we can use Newton's second law of motion to find the acceleration of the puck:

Force = mass * acceleration

Rearranging the equation, we can solve for acceleration:

Acceleration = Force / mass

Finally, we can use the equations of motion to find the speed of the puck after 11 seconds:

Speed = Initial speed + (acceleration * time)

Now, let's put all this together and solve the problem:

1. Calculate the normal force:
- Find the mass of the puck.
- Multiply the mass by the acceleration due to gravity to get the weight of the puck.

2. Calculate the force of kinetic friction:
- Multiply the coefficient of kinetic friction by the normal force.

3. Calculate the acceleration:
- Divide the force of kinetic friction by the mass of the puck.

4. Calculate the final speed:
- Multiply the acceleration by the time (11 seconds).
- Add this to the initial speed (48 m/s) to get the final speed after 11 seconds.