On a farm, you are pushing on a stubborn pig with a constant horizontal force with magnitude 30.0 n and direction 37.0° counterclockwise from the + x-axis. how much work does this force do during a displacement of the pig that is (a) s s = 15.00 m2nd; (b) s s = ?16.00 m2ne; (c) s s = ?12.00 m2nd + 14.00 m2ne?

Question

Physics

Marie Schmitt

5 August, 17:13

On a farm, you are pushing on a stubborn pig with a constant horizontal force with magnitude 30.0 n and direction 37.0° counterclockwise from the + x-axis. how much work does this force do during a displacement of the pig that is (a) s s = 15.00 m2nd; (b) s s = ?16.00 m2ne; (c) s s = ?12.00 m2nd + 14.00 m2ne?

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Aaliyah Dixon · Answer 1

Since the force is applied at an angle from the horizontal, we will use the horizontal component of this force in calculating for the displacements.

From derivation, the Fx is:

Fx = F cos φ

Where:

Fx = is the horizontal component of the force

F = total force

φ = angle in radian = 37 * pi / 180 = 0.645 rad

Calculating: Fx = 30.0 N * cos (0.645)

Fx = 23.97 N = 24 N

Calculating for Work: W = Fx * d

A. W = 24 N * 15 m = 360 N

B. W = 24 N * 16 m = 384 N

C. W = 24 N * 12 m = 288 N

D. W = 24 N * 14 m = 336 N