Viewed Questions
Find $\mathrm{a}(t)$ for a particle moving around a circle of radius $8 \mathrm{~cm}$ at a constant speed of $v=4 \mathrm{~cm} / \mathrm{s}$ (see Example 4). Draw the path, and on it, draw the acceleration vector at $t=\frac{\pi}{4}$.
Calculus of Vector Valued Functions
Motion in 3-Space
Assume $g=9.8 \mathrm{~m} / \mathrm{s}^{2}$. Projectile Motion A projectile is fired up a hill that makes a $30^{\circ}$ angle to the horizontal. Suppose the projectile is fired at an angle of inclination of $45^{\circ}$ to the horizontal with an initial speed of $100 \mathrm{ft} / \mathrm{s}$. See the figure. (a) How far up the hill does the projectile land? (b) How long is the projectile in the air?
Vectors; Lines, Planes, and Quadric…
The Cross Product
(II) $\mathrm{A} 65$ -cm guitar string is fixed at both ends. In the frequency range between 1.0 and 2.0 $\mathrm{kHz}$ , the string is found to resonate only at frequencies $1.2,1.5,$ and 1.8 $\mathrm{kHz}$ . What is the speed of traveling waves on this string?
(II) Determine if the function $D=A \sin k x \cos \omega t$ is a solution of the wave equation.
Questions asked
Vincenzo Zaccaro
Numerade educator
Find the work done by the force field F on a particle moving along the given path. F(x,y,z)=(e^{2z})i+(x^{2})j+(2y)k; C: line from (0,0,0) to (1,2,1)
\int (x+y+z)ds; r(t)=cos(t)i+sin(t)j+tk; 0 \leq t \leq 2\pi
Timothy James
Three kilograms of boiling water slowly receives heat from its surroundings and completely vaporizes. Determine the entropy change of the 3.0 kg.
Supratim Pal
A certain refrigerator has a COP of 5.00. When running the refrigerator operates at 500 W. A 500 g sample of water initially at room temperature, 20° C, is placed in the freezer compartment. How long does it take this refrigerator to freeze this water to ice at 0° C?
Brandy Heflin
1. Imagine a Carnot engine that operates between the temperatures T_H = 850 K and T_L = 300 K. The engine performs 1200 J of work each cycle, which takes 0.25 s. a. What is the efficiency of this engine? b. What is the average power of this engine? c. How much energy |Q_H| is extracted as heat from the high-temperature reservoir every cycle? d. How much energy |Q_L| is delivered as heat to the low-temperature reservoir every cycle? e. [There are 2 parts here.] By how much does the entropy of the working substance change as a result of the energy transferred to it from the high temperature reservoir? From it to the low-temperature reservoir?
Eduard Sanchez
An electron moving with a velocity v = 5.0 × 10^7 m/s i^ enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is E = j^ . What magnetic field will allow the electron to go through the region without being deflected?
Chasen Shaw
150 mA 8.0 cm 8.0 cm
Suppose a negatively-charged particle is moving up in a magnetic field that points into the screen. The direction of the magnetic force on the particle at this moment is ________.
v B 5.0 cm
Integrate f(x, y, z) = x over the region in the first octant bounded above by z = 8 - 2x^2 - y^2 and below by z = y^2.