# Work and walking with a bowling ball

I want to check myself on some basic things: Assume I am holding a heavy bowling ball straight out in front of me. And assume that when I walk I am able to carry the ball in such a way that it strictly moves in a straight line parallel to the ground (so at a fixed height). My question is: are the following three statements true?

1. If I walk at the constant velocity $$\vec{v}=1\hat{i}$$ and there is no drag then no work is being done on the bowling ball
2. If I walk at the constant velocity $$\vec{v}=1\hat{i}$$ and there is drag then both I and the air are doing work on the ball: $$W_{air on ball}=-W_{meonball}$$
3. If I accelerate while I walk such that my velocity is $$\vec{v}=a_{walk}t\hat{i}$$ and there is no drag then, for a walk of length $$\Delta x$$, $$W_{meonball}=m_{ball}a_{walk}\Delta x$$
• I removed a couple of comments; please keep in mind that comments are to be used for suggesting improvements and requesting clarification on their parent post, not for answering the question. – David Z Nov 28 '18 at 5:07

$$W = F\Delta d$$
where $$\Delta d$$ is in the direction of the force.
• Question 1: $$\Delta d$$ is zero, so no work. Your assertion is true.
• Question 2: $$F$$ is the drag, $$\Delta d$$ is the distance walked. Your assertion is true.
• Question 3: Since $$F = ma$$. Your assertion is true.