Question

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

Answer 1

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 = = 25^o

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.