You drop a 2.00 kg book to a friend who stands on the ground at distance D = 12.0 m below. Your friend's outstretched hands are at distance d = 1.80 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 5.00 m/s, what would be the answer to (a)?

Two slits of width 2 μm, each in an opaque material, are separated by a center-to-center distance of 6 μm. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen.

(a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern?

(b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same?

(c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 μm,

while keeping the widths of the slits same?

(d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used?

(e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)?

(f) Does this ratio depend on the wavelength of the light?

(g) Does this ratio depend on the width or separation of the slits?

We have to calculate the value of Power of an electric DC motor IN WATTS made from scratch. The only known values that we have are: The Voltage (V) which is 9V and the current (I) that we are using which is 3 A, also the value of "n" which is n= 90.16 m (the number of turns of the wire used in the motor)

I already asked here for this problem and someone answered this:

Voltage = 9 V, current = 3 A, number of turns = n = 90.16

Power of motor = n*V*I = 90.16*9*3=2434.32 Watt

But I don’t think this is correct since the motor has power in and power out. Can someone else help? Thank you!

Suppose that a parallel-plate capacitor has circular plates with radius R = 60.0 mm and a plate separation of 4.6 mm. Suppose also that a sinusoidal potential difference with a maximum value of 360 V and a frequency of 120 Hz is applied across the plates; that is

V=(360.0 V)sin((2.*π)*(120 Hz * t)).

Find Bmax(R), the maximum value of the induced magnetic field that occurs at r = R.

Find B(r = 30.0 mm).

Find B(r = 120.0 mm).

Find B(r = 180.0 mm).

A uniform thin rod of length 0.812 m is hung from a horizontal nail passing through a small hole in the rod located 0.043 m from the rod\'s end. When the rod is set swinging about the nail at small amplitude, what is the period of oscillation?

A long solenoid has 110 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 2.54 cm perpendicular to the solenoid axis. The speed of the electron is 0.0635c (c = speed of light, equal to 2.998 × 108 m/s). Find the current i in the solenoid.

A 5.5 F capacitor is charged to 35 V and is then connected across a 12-mH inductor. (a) How much energy is stored in the system? J (b) What is the frequency of oscillation of the circuit? Hz [3.33 points] (c) What is the maximum current in the circuit? A

A projectile is launched with initial velocity of 11 m/s at 30.5 degrees above the horizontal. - find the x-component of the initial velocity: - find the y-component of the initial velocity:

List and describe three real life situations in which is possible to experience centripetal force.

Is the acceleration of Mars' acceleration much greater than that of the Earth (encircling their orbit around the sun)? Justify your answer.

The mass of Pluto was unknown until it was discovered that it had a moon. Explain how to estimate the mass of Pluto. Explain how this made it possible to estimate the mass of Pluto.

An electric motor is a device that transfers electrically stored energy into kinetic energy. A very crude one would consist of a conducting wire shaped as a loop with a steady electric current passing through it placed in a uniform magnetic field. Let's imagine that the magnetic field is directed along the positive xx-axis, which we'll set up as going from left to right. The yy-axis points up and the zz-axis points out. Assume an absence of any frictional effects.

Which combination of options below are the most accurate combination of statements? [Enter your answer as a string of the letter options you believe are correct. For instance, if you think options A, D, and E are correct, then enter "ADE"]

A) If the current loop's dipole moment is initially aligned with the field, then it will flip back until it is anti-aligned, and then forth.
B) Maximum potential energy in this system occurs when the dipole moment points in the −i^−i^ direction
C) If the dipole moment initially points along the k^k^ direction, it's left end will feel a force pushing in along the −k^−k^ direction.
D) If the dipole moment initially points along the k^k^ direction, it's right end will feel a force pushing out along the k^k^ direction.
E) None of the above

A circular circuit of radius 30 cm is built to rotate about a

pair of insulating posts. The circuit consists of a 100 volt

battery, two 25 kW resistors in parallel and one 75 kW

resistor in series. The circuit is exposed to an external uniform magnetic field

of magnitude 0.75 Tesla and directed 20 degrees from the

normal vector of the circuit and the axis of rotation.

Calculate the total torque (magnitude and direction) on the

circuit

Calculate the component of the torque on the circuit

(magnitude and direction) at point A (exactly ¼ of the way

around the loop)

Calculate the component of the torque on the circuit

(magnitude and direction) at point B (exactly 7/8 of the way

around the loop)

Mountain pull. A large mountain can slightly affect the direction of “down” as determined by a plumb line. Assume that we can model a mountain as a sphere of radius R = 3.00 km and density (mass per unit volume) 2.6 × 103 kg/m3. Assume also that we hang a 0.500m plumb line at a distance of 3R from the sphere's center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere?

Provide a, minimum, 250 word explanation of resonance and hot it applies to today's MRI (Magnetic Resonance Imaging) technnique used in medicine. Include example equations for solving for resonance in your explanation.

Must be a minimum of 250 words, explain resonance and MRI's, and include equations for thumbs up!... Thank you!