A mass is placed on a frictionless, horizontal table. A spring $(k=100 \mathrm{~N} / \mathrm{m})$, which can be stretched or compressed, is placed on the table. A $5.00-\mathrm{kg}$ mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zéro. A student moves the mass out to $x=4.0 \mathrm{~cm}$ and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion. (b) Find the position, velocity, and acceleration of the mass at time $t=3.00 \mathrm{~s}$.

Theo needs to put 2,405 toy cars into bins with 45 cars in each bin. He divided and got 53 R 20. How many bins will he fill?

From its amino acid sequence, draw the form of ­aspartame that is expected to predominate at physiological pH: $Asp-Phe-OCH _{3}$

A one-dimensional ionic lattice consisting of doubly charged positive ions and twice as many singly charged negative ions. Compute the Madelung constant for this "crystal" to within 1 percent.

What volume of each of the following acids will react completely with 50.00 mL of 0.100 M NaOH? 0.100 M HCl

Why is the ozone layer important to living things?

A uniform cube with mass 0.500 kg and volume 0.0270 $\mathrm{m}^{3}$ is sitting on the floor. A uniform sphere with radius 0.400 m and mass 0.800 kg sits on top of the cube. How far is the center of mass of the two-object system above the floor?

When magnesium reacts with nitrogen, an ionic compound forms. If a sample of this compound contains $1.6 \times 10^{23}$ magnesium ions, how many nitride ions does it contain?

Assume that the probability a child is a boy is 0.51 and that the sexes of children born into a family are independent. What is the probability that a family of five children has a) exactly three boys? b) at least one boy? c) at least one girl? d) all children of the same sex?

Write the standard equation of the circle. A circle with center (3, -5) and radius 7.

find the center and radius of the circle. Then sketch the graph of the circle. x^2 + y^2 = 25

Solve each equation. $\log _{12} x=\frac{1}{2} \log _{12} 9+\frac{1}{3} \log _{12} 27$

Explain why the ability of PLP to catalyze an amino acid transformation is greatly reduced if the OH substituent of pyridoxal phosphate is replaced by

$$OCH_3.$$

Which of the amino acid are chiral: (a) $\mathrm{CH}_3 \mathrm{CH}\left(\mathrm{NH}_2\right) \mathrm{COOH}$ ?