Consider the 66 kg ice skater being pushed by two others shown in the figure. Th

Question

Consider the 66 kg ice skater being pushed by two others shown in the figure. The coefficient of static friction is mu s = 0.4 and kinetic is mu k = 0.02. Find the magnitude of F tot, the total force exerted on her by the others, given that the magnitudes F1 and F2 are 247 N and 186 N. respectively in Newtons. Find the direction of F tot (in degrees relative to the horizontal), the total force exerted on her by the others, given that the magnitudes F1 and F2 are 247 N and 186 N. respectively. What is her initial acceleration if she is initially stationary and wearing steel-bladed skates that point in the direction of F tot in m/s 2? What is her acceleration assuming she is already moving in the direction of F tot in m/s2?

Explanation / Answer

a) Fnet = sqrt(F1^2 + F2^2)

= sqrt(247^2 + 186^2)

= 309.2 N

b) direction : theta = tan^-1(F2/F1)

= sqrt(186/247)

= 36.98 degrees

c) a = Fnet/m

= 309.2/66

= 4.68 m/s^2

d) same. 4.68 m/s^2

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