Question

A student pulls a box of books on a smooth horizontal floor with a force of 100 N in a direction of 30° above the horizontal. If the mass of the box and the books is 40.0 kg, what is the acceleration of the box?


Square root of three meters per second squared.

Four square root of three over five; meters per second squared.

five square roots of three all over four meters per second squared

Square of five meters per second squared.

Five square roots of two all over two meters per second squared

Answer 1

F = 100 cos 30 = 86.6 N = 100 (sqrt 3)/2

a = F/m = 86.6/40 = 2.17 m/s^2 =(100/80)sqrt 3 = (5/4) sqrt 3 m/s^2

so
five square roots of three all over four meters per second squared