A blue billiard ball (2kg) with initial speed 6 m/s collides with another red billiard ball (3 kg) moving in the same positive x - axis. After the collision, the first ball bounces off with speed √4 m/s in a direction that makes an angle +30o with the original direction. The second ball bounces in a direction that makes an angle θ2 on the other side of the first ball’s original direction. Neglect friction. Use the x-y coordinate system shown.

Which statements describe how a machine can make work easier? check all that apply. it can put out more force than the input force by decreasing the distance through which force is applied. it can increase the amount of work performed if the output force is in the same direction as the input force. it can apply a force to an object in a different direction than the force applied to the machine. it can increase the distance through which a force acts by exerting less force than was used on it. it can exert a greater force through a greater distance than the force used on the machine.