a) momentum = mass * velocity

to get the momentum vector, just multiply all the components of the velocity vector by the mass, which is a scalar.

So <px,py,pz> = <m vx, m vy, m vz>

The direction of the velocity (and therefore of the momentum) is in the negative y- or j-hat direction.

b)the parallel component of what?

c)the perpendicular component of what?

d)circular motion requires a net centripetal (ie, towards the center) force

e) the magnitude of the centripetal force is mv^2 / r

f) the net force must be the centripetal force

F = mv^2 / r towards the center.

So if F1 + F2 add up to F,

F2 = F1 - F

# How do you calclulate magnitude and dirction?

In the dark in outer space, you observe a glowing ball of known mass 3.2 kg moving in the xy plane at constant speed in a circle of radius 6.5 m, with the center of the circle at the origin (< 0, 0, 0 > m). You can't see what's making it move in a circle. At time t=0 the ball is at location < 6.5, 0, 0 > m and has velocity < 0, -35, 0 > m/s.

A) At time t=0, what is the direction of the momentum vector?

B) At time t=0, what are the magnitude and direction of the parallel component?

C) At time t=0, what are the magnitude and direction of the perpendicular component?

D) At time t=0, even though you can't see what's causing the motion, what can you conclude must be the direction of the Fnet vector?

E) At time t=0, even though you can't see what's causing the motion, what can you conclude must be the Fnet vector?

F) You learn that at time t=0, two forces act on the ball, and that at this instant one of these forces is F_1 = < 120, 542, 0 > N. What is the other force F_2?

A) At time t=0, what is the direction of the momentum vector?

B) At time t=0, what are the magnitude and direction of the parallel component?

C) At time t=0, what are the magnitude and direction of the perpendicular component?

D) At time t=0, even though you can't see what's causing the motion, what can you conclude must be the direction of the Fnet vector?

E) At time t=0, even though you can't see what's causing the motion, what can you conclude must be the Fnet vector?

F) You learn that at time t=0, two forces act on the ball, and that at this instant one of these forces is F_1 = < 120, 542, 0 > N. What is the other force F_2?

## 1 Answers

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