Question

The following data is obtained from a computer simulation for a patted baseball with mass $0.145kg$ including air resistance. Find the work done by the air on the base ball as it moved from maximum height to back to its position

t(s)	x(m)	y(m)	v${}_x$ (ms${}^{-1}$)	v${}_y$ (ms${}^{-1}$)
0	0	0	30	40
3.05	70.2	53.6	18.6	0
6.59	124.4	0	12.0	-30

• A. $0$
• B. $105.56J$
• C. $76J$
• D. $213J$

Answer 1

Answer: (B)

$105.56J$

$W=\frac{1}{2}m(v_{x_1}^2+v_{y_1}^2-v_{x_2}^2-v_{y_2}^2)$

$=\frac{1}{2}\times 0.145({30}^2+{40}^2-{12}^2-{30}^2)=105.56J$