The speed of light in ice is 2.29\times10^8 m/s. What isthe index of refraction of ice?

A floating ice block is pushed through a displacement d=(15m)i-(12m)j along a straight embankment by rushing water, which exerts a force F=(210N)i-(150N)j on the block. How much work does theforce do on the block during the displacement?

A stream of water strikes a stationary turbine bladehorizontally, as the drawing illustrates. The incident water streamhas a velocity of +18.0 m/s, while the exiting water stream has avelocity of -18.0 m/s. The mass of water per second that strikesthe blade is 17.0 kg/s. Find themagnitude of the average force exerted on the water by theblade.

Two small charged objects repel each other with a force F whenseparated by a distance d. if the charge on each object is reducedto one-fourth of its original value and the distance between themis reduced to d/2, the force becomes:
a) ${\displaystyle \frac{F}{16}}$
b) ${\displaystyle \frac{F}{8}}$
c) ${\displaystyle \frac{F}{4}}$
d) ${\displaystyle \frac{F}{2}}$
e)F

A 730-N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2 kg physics textbook horizontally toward the north shore , at a speed of 5.0 m/s. How long does ittake him to reach the south shore?

Solve the equation explicitly for y and differentiate to get y' in terms of x. ${\displaystyle 2x^2+x+xy=1}$

The national average for mathematics on a standardized test in 2011 was 524. Suppose that the distribution of scores was approximately bell-shaped and that the standard deviations was approximately 47. Round your answers to one decimal place.

Describe the interval on which the function is continuous.
$f(x)=\{\begin{array}{ll}\frac{x^2-64}{x-8},& x\ne 8\\ 16,& x=8\end{array}$