# Space Velocity#

Bender the robot (100 $$\rm{kg}$$) is floating out in deep space. Does it matter what velocity he has? It doesnâ€™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 (12 $$\rm{kg}$$) 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?