An unknown force is applied to a 12 kg. The force acts at an angle of 30 degrees above the horizontal. Determine the force acting if the force acts for a horizontal displacement of 22 meters and increases the 12 kg mass's speed from 11 m/s to 26 m/s

Question

Physics

Johan Pratt

25 January, 21:56

An unknown force is applied to a 12 kg. The force acts at an angle of 30 degrees above the horizontal. Determine the force acting if the force acts for a horizontal displacement of 22 meters and increases the 12 kg mass's speed from 11 m/s to 26 m/s

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Answers (1)

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Alondra Walsh · Answer 1

Time it take to displace to 22 m:

D = 0.5 (Vi-Vf) t

22m = 0.5 (11 + 26) t

t = 1.189 s

Acceleration

22m = vt + 0.5at^2

a = 12.616 m/s^2

F = ma

F sin 30 = 12 kg x 12.616 m/s^2

F = 302.805 N