Question

A 20 g ball of clay traveling east at 4.5 m/s collides with a 45 g ball of clay traveling north at 2.0 m/s.

A: What is the speed of the resulting 65 g ball of clay?
Express your answer with the appropriate units.
v = ?
What is the direction of the resulting ball of clay?
theta = ?

Answer 1

v= 1.96 m/s and theta= 45°

Step-by-step explanation:

By using Pythagoras Theorem;

let speed be x

65x=√90^2+90^2

65x=√16200

65x=90√20

x=90√20/65

x=1.96 m/s

To find direction;

let theta be x

tan(x)=90/90

x=tan^-1(90/90)

x=45°