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).