What are the external and internal forces and influences that push Macbeth to his final decision at the end of Scene 7? How does he try to resist the urge to act against Duncan?

Two point charges of −13.0 $\mu \mathrm{C}$ and −16.0 $\mu \mathrm{C}$ exert repulsive forces on each other of 12.5 N. What is the distance between the two charges?

Complete the sentences by inferring information about the italicized word from its context. C. Since the $\mathit{\text{ancillary}}$ forces failed to arrive in time, the battalion defending the fort...

It is a general rule that any organic compound containing oxygen, nitrogen, or a multiple bond will dissolve in concentrated sulfuric acid.
Explain the basis of this rule in terms of acid-base reactions and intermolecular forces.

Two static point charges of 99.9 $\mu \mathrm{C}$ and 33.3 $\mu \mathrm{C}$ exert repulsive forces on each other of 87.3 N. What is the distance between the two charges?

Three bars are connected with smooth pins to form the frame shown in given figure. The weights of the bars are negligible. Find (a) The reactions at supports $A$ and $E$. (b) The resultant forces at pins $B, C$, and $D$.

Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward weight, there are buoyant forces and forces from the flowing water that allow them to travel in a horizontal path. One such submersible has a cross-section area of $1.3 \mathrm{~m}^2$, a drag coefficient of $1.2$, and, when towed at $5.1 \mathrm{~m} / \mathrm{s}$, the tow cable makes an angle of $30^{\circ}$ with the horizontal. What is the tension in the cable?

In order to move a $70.6-\mathrm{kg}$ crate, two men push on it while two other men pull on it by means of ropes. The force exerted by man $A$ is $600 \mathrm{~N}$ and that exerted by $\operatorname{man} B$ is $200 \mathrm{~N}$; both forces are horizontal. Man $C$ pulls with a force equal to $320 \mathrm{~N}$ and man $D$ with a force equal to $480 \mathrm{~N}$. Both cables form an angle of $30^{\circ}$ with the vertical. Determine the resultant of all the forces acting on the crate.

Stretch a rubber band while holding it gently to your lips. Then slowly let it relax while still in contact with your lips. Explain the above result in terms of intermolecular forces.

What protein does the term coated vesicle refer to?

A) The clathrin that forces the vesicle to invaginate.

B) The receptors in the membrane of the vesicle.

C) The adaptor proteins surrounding the vesicle.

D) The ligand bound to the receptor.

The dumbbells in mentioned figure are all the same size, and the forces all have the same magnitude. Rank in order, from largest to smallest, the torques $\tau_a, \tau_b$, and $\tau_{c^{-}}$Explain.

What kinds of intermolecular forces present in each substance?

(a) $\mathrm{O}_3$

(b) $\mathrm{HBr}$

(c) $\mathrm{CH}_3 \mathrm{OH}$

(d) $\mathrm{I}_2$

The three ropes shown in the bird's-eye view of Figure mentioned are used to drag a crate $3.0 \mathrm{~m}$ across the floor. How much work is done by each of the three forces?

A trolley that moves along a horizontal beam is acted upon by two forces as shown. Determine by trigonometry the magnitude and direction of the force $\mathbf{P}$ so that the resultant is a vertical force of $2500 \mathrm{~N}$.