nt-Responses/submit?dep 18256793 sider the 65.0 kg ice skater being pushed by tw

Question

nt-Responses/submit?dep 18256793 sider the 65.0 kg ice skater being pushed by two others shown in the figure. Free-body diagram a) Find the direction Cin degrees) and magnitude Cin N) of Fuot, the total force exerted on her by the others, given that the magnitudes F, and 1 are 23.6 N and 18.2 N, respectively. direction | 37 37 6 (counterclockwise from the direction of F1 is postive) magnitude 298 N (b) what is her initial acceleration (in m/s) it she is initially stationary and wearing steel-bladed skates that point in the direction of Fe 46 (c) What is her acceleration (in m/s?) assuming she is already moving in the direction of Foe? Remember that friction is always in the opposite direction of motion or attempted motion surfaces in contact m/s (in the direction of Foo) Additional Materials Reading MacBook Air

Explanation / Answer

let mass of the ice skater be m = 65 kg

a. given F1 = 23.6 N

F2 = 18.2 N

hence

F = sqroot(F1^2 + F2^2) = 29.80268 N

direction = arctan(F2/F1) = 37.63 deg anticlockwise to the +x axis

b. initial acceleration = F/m = 0.458502 ms/s/s

c. if she is already moving in direction Ftot, then again its acceleration is 0.45852 m/s/s , considering 0 friciton

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