A hockey puck of mass 0.450 kg is sliding across the ice. However, because of the frictional force between the puck and the ice, the motion of the puck is stopped in 15.8 seconds. Determine the magnitude of the frictional force.
force=mass*acceleration=mass*changevelocity/time
solve for force
To determine the magnitude of the frictional force, we can use Newton's second law of motion. According to Newton's second law, the net force acting on an object is equal to the product of its mass and acceleration (F = ma).
In this case, the motion of the puck is stopped, so its acceleration is zero. Therefore, the net force acting on the puck is also zero, which means the frictional force must be equal in magnitude but opposite in direction to the applied force.
Since we know the mass of the puck is 0.450 kg and the motion stops in 15.8 seconds, we can use the formula F = ma to find the frictional force.
F = ma
F = 0.450 kg * 0 m/s^2 (acceleration is zero since it has stopped)
Therefore, the magnitude of the frictional force is 0 N.
To determine the magnitude of the frictional force, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the net force is the frictional force, and the acceleration is the deceleration of the puck.
First, we need to calculate the acceleration of the puck. The deceleration can be determined using the formula:
acceleration = change in velocity / time
Since the puck comes to a stop, its final velocity will be zero, and the initial velocity is unknown. However, we can use the fact that the motion is uniformly decelerated to calculate the average velocity.
average velocity = (initial velocity + final velocity) / 2
Since the final velocity is zero, the average velocity will be equal to the initial velocity. Dividing the change in velocity by the time will give us the acceleration.
acceleration = (0 - initial velocity) / time
Now, we can substitute the values into the equation. Given that the mass of the puck is 0.450 kg and the time is 15.8 seconds, we have:
acceleration = (0 - initial velocity) / 15.8
Next, we can rearrange the equation to solve for the initial velocity.
initial velocity = (0 - acceleration) * time
Substituting the values, we get:
initial velocity = (0 - acceleration) * 15.8
Now that we have the initial velocity, we can calculate the frictional force. The frictional force can be determined using the formula:
frictional force = mass * acceleration
Substituting the values, we have:
frictional force = 0.450 kg * acceleration
Finally, we can substitute the value of acceleration into the equation:
frictional force = 0.450 kg * ((0 - initial velocity) / 15.8)
Calculating this expression will give us the magnitude of the frictional force acting on the hockey puck.