Katie is making a strawberry milkshake in her blender. A 0.05kg strawberry is rapidly spun around the inside of the container with a speed of 11.0 m/s, held by a centripetal force of 12.0 N. What is the radius of the blender at the strawberry’s location? Round answers to two decimal places.

Respuesta :

Answer:

The radius of the blender is approximately 0.5041[tex]\bar 6[/tex] meters

Explanation:

The given parameters are;

The mass of the strawberry, m = 0.05 kg

The speed with which the strawberry is spun, v = 11.0 m/s

The centripetal force holding the strawberry = 12.0 N

The formula for the centripetal force, [tex]F_c[/tex], is given as follows;

[tex]F_c = \dfrac{m \cdot v^2}{r}[/tex]

Where;

r = The radius of the centripetal rotation, which is the radius of the blender

[tex]\therefore r = \dfrac{m \cdot v^2}{F_c}[/tex]

Substituting the values gives;

[tex]\therefore r = \dfrac{0.05 \times 11^2}{12} = \dfrac{121}{240} \approx 0.5041 \bar 6[/tex]

The radius of the blender, r ≈ 0.5041[tex]\bar 6[/tex] meters.