Write in exponential form using base $e : \operatorname{In} M=N$

You and a friend are playing tennis. (a) What is the magnitude of the momentum of the $0.057-\mathrm{kg}$ tennis ball when it travels at a speed of $30 \mathrm{m} / \mathrm{s} ?$ (b) At what speed must your $0.32-\mathrm{kg}$ tennis racket move to have the same magnitude momentum as the ball? (c) If you run toward the ball at a speed of $5.0 \mathrm{m} / \mathrm{s}$, and the ball is flying directly at you at a speed of $30 \mathrm{m} / \mathrm{s}$, what is the magnitude of the total momentum of the system (you and the ball)? Assume your mass is $60 \mathrm{kg}$.In every case specify the object of reference.

Find the English derivative in the sentence, then write the corresponding Latin word: Our decendants must inherit a safer and cleaner world.

The temperature changed from $5 ^ { \circ } \mathrm { F }$ at $6\ \mathrm { P.M. }$ to $- 2 ^ { \circ } \mathrm { F }$ at midnight. How much did the temperature decrease?

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.0 m/s. Ignore air resistance. (a) At what time after being ejected is the boulder moving at 20.0 m/s upward? (b) At what time is it moving at 20.0 m/s downward? (c) When is the displacement of the boulder from its initial position zero? (d) When is the velocity of the boulder zero? (e) What are the magnitude and direction of the acceleration while the boulder is (i) moving upward? (ii) Moving downward? (iii) At the highest point? (f) Sketch $a_{y}-t$, $v_{y}-t$, and y-t graphs for the motion.

Explain how a muscle contracts.

Online merchants constantly study their competitors' prices. Assume you work for an online merchant that sells computers. Research the prices of three comparable computers. Write a report on your price analysis and recommendations for pricing those items on your company Web site.

Find the centroid for the region described. -The part of the spherical solid with density $\rho=2$ described by $x^{2}+y^{2}+z^{2} \leq 9, x \geq 0, y \geq 0, z \geq 0$

Solve the equation. Check your solution.

$$2x^2 - 13x + 20 = 0$$

Carry out the following operations and express the answer with the appropriate number of significant figures.

$$( 0.0045 \times 20,000.0 ) + ( 2813 \times 12 )$$

Nitrogen gas flows through a long, constant-diameter adiabatic pipe. It enters at 100 psia and 120$^\circ{}$F and leaves at 50 psia and 70$^\circ{}$F. Calculate the velocity of the nitrogen at the pipe's inlet and outlet.

Find $\mathcal L^{-1}\{F(s)\}$ for each of the functions $F$.

$$F(s)=\frac{5 s+6}{s^{3}}$$

How do warranties affect product planning?

Distinguish between excitatory and inhibitory actions of neurotransmitters.