Four forces, $A,B,N$ and its weight, $W,$ are acting on a box of mass $3$ kg as shown in the diagram below. There is no friction and the body moves $4$ meter to the right, starting from rest.

Weight $=30$ newtons

Note that all the forces are given and that none of them have to be calculated. You do need to calculate for each force the work that it does.

Use the trig table given in this test or use your calculator.

A$.$ Use the Diagram above. The body moves $4$ meters to the right.

a$.$ Find the work done by the normal force N of $20$ newtons acting upward

b$.$ Finding the work done by the force A of $10$ newions acting to the right

c$.$ Find the work done by force $B$ of $20$ newions acting at $30$ degrees with the horizontal

d$.$ Find the work done by the weight of $30$ newtons, acting downward

e$.$ Find the TOTAL work done by the above $4$ forces

f$.$ Since the body started from rest, use the work$-$energy theorem to find its final kinetic energy after it has moved a distance of $4$ meters to the right. Note that since the body is always on the ground it has no potential energy.

g$.$ Since the mass of the body is $3$ kg $,$ find its final speed $($afier it has traveled the $4$ meters$)$