A sled of mass 14kg is on a hill inclined at 25 degrees to the horizontal. Friction is negligible. The sled is held at rest by a pole?

a pole higher up the incline, parallel to the hill. 

a) Calculate the magnitude of the tension in the rope.

b) Calculate the magnitude of the normal force on the sled.

2 Answers

  • oubaas
    Lv 7
    4 weeks ago
    Favorite Answer

    tension T = m*g*sin 25° = 14*9.806*0.423 = 58 N 

    normal force N = m*g*cos 25° = 14*9.806*0.906 = 124 N (120 with just 2 sign. digits)

  • NCS
    Lv 7
    4 weeks ago

    b) normal force for an object on an incline is

    Fn = m*g*cosΘ

    For your values, Fn = 124 N

    a) For equilibrium, tension = downslope component of weight

    T = m*g*sinΘ

    For your values, T = 58 N

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