A child is pulling an 6.00kg wagon along a horizontal sidewalk. If a force of 10.0 N is being applied to the sled rope at an angle of 25.0° above the horizontal, what is the horizontal acceleration of the wagon?
a. 0.704 m/s2
b. 1.11 m/s2
c. 1.51 m/s2
d. 1.67 m/s2
Mass of the wagon = m = 6 kg
Force applied to the sled rope = F = 10 N
Angle made by the sled rope with the horizontal = = 25o
Horizontal acceleration of the wagon = a
From the free body diagram,
ma = FCos
(6)a = 10Cos(25)
a = 1.51 m/s2
Horizontal acceleration of the wagon = 1.51 m/s2
Option (c) is correct.
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