# Space Velocity#

Bender the robot (100 $$\rm{kg}$$) is floating out in deep space. Does it matter what velocity he has? It doesn’t. His velocity is zero. He decides that he wants to throw his head towards home. First his right arm removes his left arm (7 $$\rm{kg}$$) and throws it so that it has a final velocity of $$V_L = {{params.V_L_i}} \rm{m\over s} \hat i + {{params.V_L_j}} \rm{m \over s} \hat j$$. Then his right arm removes his head (14 $$\rm{kg}$$) and throws it so that it has final velocity $$V_H = {{params.V_H_i}} \rm{m\over s} \hat i + {{params.V_H_j}} \rm{m \over s} \hat j$$. Velocities are given in terms of an observer who is also at rest.

## Part 1#

What is the final velocity $$\hat{\imath}$$ vector of his torso?

Please enter in a numeric value in $$\rm{m/s}$$.

## Part 2#

What is the final velocity $$\hat{\jmath}$$ vector of his torso?

Please enter in a numeric value in $$\rm{m/s}$$.

## Part 3#

How much source energy does he expend when he throws his left arm?

Please enter in a numeric value in $$\rm{J}$$.

## Part 4#

How much source energy does he expend when he throws his head?

Please enter in a numeric value in $$\rm{J}$$.

## Part 5#

The throwing of his left arm and the throwing of his head both take only $$\Delta T = {{ params.t }}$$ $$\rm{s}$$, which one required more average force?