A girl is skating on the straightaway of an oval The air den

A girl is skating on the straightaway of an oval. The air density is 0.98 kg/m3 and there is no wind inside the Oval. The coefficient of friction between the skate blade and the ice is 0.003. As she pushes with a force of 253 N, the skate blade moves perpendicular to the track at a velocity of 3.68 m/s. The skate blade is angled at 0.31 radians from the direction of the track. How fast is she moving forward? PLEASE SHOW WORK STEP BY STEP

Solution

the skate blade makes an angle of 0.31 radian with the direction of track

the velocity of skate blade perpendicular to the track = 3.68 m/s

therefore if the actual velocity is v then

v sin (0.31) = 3.68

=> v = 12.06 m/s

therefore component of velocity along the track = v cos (0.31)

v to move forward = 12.059 m/s

v