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? asked in Science & MathematicsPhysics · 3 years ago

How to know when to use cos, sin, and tan in Physics.?

These are two problem examples:

A sailor pulls a boat full of cargo using a rope angled at 60.0°. The sailor applies 1x10^3 of force and pulls the boat for 30.0 m to the end of the dock. How much work does the sailor do?

A sailor pushes a 50.0 kg barrel along a dock. He then pushes it up a 10.0 m gangplank to the deck of a ship. The sailor applies his force parallel to the dock. The gangplank makes an angle of 30.0° with the dock. Assume that the gangplank is frictionless. How much work does the sailor do?

1 Answer

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  • oubaas
    Lv 7
    3 years ago
    Favorite Answer

    A sailor pulls a boat full of cargo using a rope angled at 60.0° on the horizon . The sailor applies 10^3 N of force and pulls the boat for d = 30.0 m to the end of the dock. How much work W does the sailor do?

    W = F*cos 60°*d = 10^3*0.5*30/10^3 = 15.00 kjoule

    A sailor pushes a m = 50.0 kg barrel along a dock. He then pushes it up a ℓ = 10.0 m gangplank to the deck of a ship. The sailor applies his force parallel to the dock. The gangplank makes an angle of 30.0° with the dock. Assume that the gangplank is frictionless. How much work W does the sailor do?

    W = m*g*h = 50*10*ℓ*sim 30° = 50*10*10*0.5/10^3 = 2.50 kjoule

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