A boy pulls a box of mass 10kg with force of 25N at 60degree with horizontal the box accelerate horizontally.what is the magnitude of acceleration of box?

Answer 1

The sum of the forces in the horizontal direction equal the mass * acceleration, or

F_x = m*a

The force in the horizontal direction is the horizontal component of the pull force, which is

F_x = Fcosθ

F_x = 25 cos 60°

F_x = 25 (.5)

F_x = 12.5

So now from the first equation we have

12.5 = m*a

Using the mass of the box the equation becomes

12.5 = 10*a

Now you can solve for a