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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

Verified Answer :

MissPhiladelphia

First
solve the time it takes to displace to 22 m

D =
0.5( Vi – Vf)*t

22
m = 0.5 ( 11 + 26) t

T =
1.1891 s

Solve
for acceleration

D =
vt + 0.5at^2

22
= (11)( 1.1891) + 0.5(1.1891^2)a

A =
12.6169 m/s2

F
= ma

Since
the work is only done in the horizontal direction

F
sin (30) = (12 kg) ( 12.6169 m/s2)

F
= 302.8056 N

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