Roxanne is making a strawberry milkshake in her blender. A tiny, 0.005-kg strawberry is rapidly spun around the inside of the container with a speed of 14.0 m/s, held by a centripetal force of 10.0 Newtons. What is the radius of the blender at this location?
force=mass*v^2/r
10=.005*14^2/r
r=you do it. r will be in meters.
To find the radius of the blender at this location, we can use the centripetal force formula:
F = (m * v^2) / r
where:
F = centripetal force (10.0 N)
m = mass of the strawberry (0.005 kg)
v = speed of the strawberry (14.0 m/s)
r = radius of the blender (unknown)
Rearranging the formula to solve for r, we get:
r = (m * v^2) / F
Substituting the given values:
r = (0.005 kg * (14.0 m/s)^2) / 10.0 N
Calculating this expression, we find:
r = (0.005 kg * 196 m^2/s^2) / 10.0 N
r = 0.98 m^2⋅kg⋅s^-2 / 10.0 N
r = 0.098 m^2⋅kg⋅s^-2/N
Therefore, the radius of the blender at this location is approximately 0.098 meters (or 9.8 cm).