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A ) An ice skater is gliding horizontally across the ice with an initial velocit

ID: 1327299 • Letter: A

Question

A) An ice skater is gliding horizontally across the ice with an initial velocity of +6.02 m/s. The coefficient of kinetic friction between the ice and the skate blades is 0.0831, and air resistance is negligible. How much time elapses before her velocity is reduced to +2.51 m/s?

B)The parachute on a race car of weight 8260 N opens at the end of a quarter mile run when the car is traveling at 32.7 m/s. What total retarding force must be supplied by the parachute to stop the car in a distance of 1090 m?

Explanation / Answer

Retardation is written as

a = f/m

here, f is frictional force and equal to

f= kmg

therefore,the acceleration is

a = kg

a = 0.0831*9.81

= 0.8152 m/s^2

use the kinematic equation to calculate the time.

v = u - at

t = (u - v)/a

t = (6.02 -2.51)/( 0.8152 m/s^2)

=4.30 s

therefore, 4.30 s seconds are needed for retardation.