A 50-kg ice skater moves around a bend at 8 m/s. The radius of the bend is 8 m. Centripetal force is provided by friction between the blade of the skates and the ice. What is the amount of centripetal force?

m v^2/r = 50 * 64 / 8

= 400 m/s^2

To find the amount of centripetal force acting on the ice skater, we can use the centripetal force formula:

Fc = (m * v^2) / r

Where:
Fc is the centripetal force
m is the mass of the ice skater (50 kg)
v is the velocity of the ice skater (8 m/s)
r is the radius of the bend (8 m)

Plugging in the values into the formula:

Fc = (50 kg * (8 m/s)^2) / 8 m

Simplifying the equation:

Fc = (50 kg * 64 m^2/s^2) / 8 m
Fc = 3200 kg•m/s^2

Therefore, the amount of centripetal force acting on the ice skater is 3200 kg•m/s^2.