# Physics 2

A F note has a wavelength of 98.8 cm. Calculate its frequency.

A person is standing on the south side of a canyon and shouts. She hears the echo in 0.44 seconds. Assuming the sound bounced off the other side of the canyon and came back, how wide is the canyon?

What happens to the wavelength and the frequency of a note as you go up one octave?

A tube is open on one end and closed on the other. Draw the largest and second largest standing waves.

Two metal spheres are charged, q$_1$ = 6Q and q$_2$ = -2Q, and are separated by a distance d. The attractive force between these two spheres is 20 N. The metal spheres are then brought together so they are touching, and then separated again a distance d. What is the new charge on the metal spheres and what is the new force between them?

Two objects, whose charges are +3 nC and -2 nC, are separated by 1.0 mm. Find the magnitude of the attractive force that either charge exerts on the other.

A 100 g ball carries a charge of +0.1 C and is placed in an uniform electric field, E = 10 N/C. Find the acceleration of the ball.

An uncharged metal sphere is place in a uniform electric field as shown below. Which way will the sphere be pushed? Explain.

A +12 nC charge is distributed uniformly along the y-axis from y = 0 to y = 4.0 m. What is the x-competent of the electric field at x = 2.0 m on the x-axis? (this type of problem may not be covered in algebra based physics courses)

A +1 nC charge is placed at the origin, < 0 , 0 > . Find the electric field at point x = < 0.2 , -0.4 > (this type of problem may not be covered in algebra based physics courses)

Two point charges are attached by a weightless pole and placed into an electric field, as shown below. Find the torque due to the electric field, E = 4 N/C.

What electric field (magnitude and direction) is needed to levitate a proton?m$_p$ = 1.67 x 10$^{-27}$ kg

Point A is a distance d = 0.5 m from the center of a charged rod. The rod has a charge of + 1 nC and is X = 4 m long. Find the electric field at point A.

The rod below is 1.4 m long and carries a charge of -8 x 10$^{-8}$. Point A is 0.7 m from the center of the rod. Find the electric field at point A due to the bottom 1/8th of the rod, colored blue below.

A disk with radius R = 0.4 m carries a +4 $\mu$C. Find the electric field at point X, a distance of 0.001 m from the center of the disk.

Below are two charged spheres separated by a distance, X = 0.1 m from center to center. The sphere on the left carries a charge of 10 nC and has a radius 0.01 m. The sphere on the right carries a charge of -2 nC. Find the electric field at point A, which is 0.005 m from the center of the large sphere.

A very long cylindrical insulator with a radius of 30 cm has a volumetric charge density of -80 $\frac{nC}{m^2}$. What is the volume of the electric field a distance of 10 cm away from the center? 30 cm from the center? 50 cm from the center?

Use Gauss's law to find the electric field around a conducting sphere of radius R, both within and outside the sphere. That is for a distance rR. (this is a calculus based derivation)

An electron is accelerated from rest through a potential difference of 1800 V. What is its speed?

Points A and B are in a region of uniform electric field, $\vec{E}$ = < 65, 0 > N/C. Point A is at < -0.1, 0 > and Point B is at < 0.7, 0 >. Find the electron potential difference between point A and B.