on perfectly smooth and frictionless hockey field at 20n , how slowly a puck be driven to perform an inertial circle of diameter equal to the field width 26m
To find the speed at which a puck needs to be driven to perform an inertial circle on a smooth and frictionless hockey field, we can use the formula for centripetal force.
The centripetal force required for circular motion is given by the equation:
F = (mv²)/r
where:
F is the centripetal force,
m is the mass of the object (the puck, in this case),
v is the velocity of the object, and
r is the radius of the circle (half the diameter of the field).
In this case, we want to find the velocity (v) at which the puck needs to be driven.
Given:
F = 20 N (centripetal force)
r = 26 m (radius), since diameter = 2 * radius
Rearranging the formula, we get:
v = √(Fr/m)
Plugging in the values, we have:
v = √((20 N)(26 m) / m)
Since the mass of the puck is not provided, we cannot determine the exact velocity needed. The mass of the puck is required to calculate the velocity.
However, if you have the mass of the puck, you can substitute it into the equation to solve for the velocity.