Question

A 54.0-kg ice skater is moving at 3.94 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.900 m around the pole. (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. .931416 Correct: Your answer is correct. kN (b) Compare this force with her weight. Frope W

Answer 1

Step-by-step explanation:

a ) magnitude of force = centripetal force = m v² / R , m is mass , v is velocity of skater , R is radius of circular path .

= 54 x 3.94² / .9

= 931.41 N

= .93141 kN.

b ) Her weight = mg = 54 x 9.8 = 529.2 N

= .5292 kN .

Ratio = .93141 / .5292 = 1.76