A circular coil of 144 turns has a radius of 1.54 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 2.13 A

A ball is hit east from a 10 meter elevated platform with an initial velocity of <50, 0, 30> m/s. A wind blowing to the south produces an acceleration on the ball of -1.2 m/s^2.

a. Find the velocity and position vectors for t ≥0.

b. Determine the time of flight and range of the ball.

c. Determine the maximum height.

d. If you want the ball to land due east of your initial position, determine the correction

angle.

An optical interferometer can detect a displacement of 0.1?, or ?50nm.

At what speed would a 3.0m stick "shrink" by 50 nm? Hint: Use the binomial approximation.

Hey, need answers to the following physics questions

7. A tiny ball (mass = 0.079 kg) carries a charge of -17.9 µC. What electric field (magnitude and direction) is needed to cause the ball to float above the ground??

8. A small object has a mass of 3.1 10^-3 kg and a charge of -32 µC. It is placed at a certain spot where there is an electric field. When released, the object experiences an acceleration of 2.31 10³ m/s² in the direction of the +x axis. Determine the magnitude and direction of the electric field.

9. Four point charges have the same magnitude of 2.32 10^-12 C and are fixed to the corners of a square that is 4.10 cm on a side. Three of the charges are positive and one is negative. Determine the magnitude of the net electric field that exists at the center of the square.

10. A long, thin rod (length = 3.8 m) lies along the x axis, with its midpoint at the origin. In a vacuum, a +7.3 µC point charge is fixed to one end of the rod, and a -7.3 µC point charge is fixed to the other end. Everywhere in the x, y plane there is a constant external electric field (magnitude = 5.45 10³ N/C) that is perpendicular to the rod. With respect to the z axis, find the magnitude of the net torque applied to the rod.

An ideal gas with γ=1.4 occupies 3.0 L at 300 K and 120 kPa pressure and is compressed adiabatically until its volume is 2.0 L. It's then cooled at constant pressure until it reaches 300 K, then allowed to expand isothermally back to state A.

Part A

Find the net work done on the gas.

Express your answer using two significant figures.

Part B

Find the minimum volume reached.

Express your answer using two significant figures.

A rocket is 120 meter directly over a person and it is traveling at 500 m/s. Assume the temperature is 20 C. a) How many seconds will it take for the person to hear the sonic boom, how far has the rocket traveled in that time, how far has the sound wave that reached the person traveled, and what is the angle of the shock wave? b) Now, assume that the rocket is accelerating at a rate of 12 m/s2 . Answer the same questions and the initial and final angle of the shock wave?

I need help with the above question. I've tried drawing an illustration for it but I keep getting the wrong answer. The answers are as follows:

a) .25455 seconds, drocket = 127.2772 m, dsound = 87.31218 m, θ = 43.3143 degrees

b) .25455 seconds, drocket = 127.66377 m, dsound = 87.31218 m, θi = 43.3143 degrees , θf = 42.987 degrees

Answer the following questions for a projectile which is fired across level ground at an initial speed of 59.7m/s .

Part A) Find the horizontal distance where the projectile lands if it is shot at 40? above the horizontal.

Part B) Find the horizontal distance where the projectile lands if it is shot at 50? above the horizontal.

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2 meters down the ramp, then another 3 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at point A. Assume g = 10 m/s^2. Note: The user has mastered the concept of the conservation of energy and is proficient in solving problems where energy is conserved but is new to solving energy problems involving work done by non-conservative forces. Explain how work is related to the total mechanical energy of a system, then use this information to set up and solve the problem above.

Please Give step by step explanation.

A glass window of index of refraction 1.3 is coated with an antireflective film of thickness 2.0 µm. Which of the following indices of refraction of the film would cause the intensity of reflected light of wavelength 800 nm from a normally-incident beam to be suppressed?

A. 1.1 B. 1.2 C. 1.4 D. 1.7 E. 1.8

1. Complete the following table for H₂O.

For the following situations, determine whether the energy of the given system is the same at the initial and final states indicated (i.e., is the energy of the system constant or not).

0pts
0pts

A block is hung from a spring that is vertical and connected to the ceiling. The block is made to oscillate vertically. Call the initial state when the block is at its highest position and the final state when the block is at its equilibrium position.
Energy of the system is constant Energy of the system is not constant  System: block
Energy of the system is constant Energy of the system is not constant  System: block + ceiling (+ spring) + Earth
Energy of the system is constant Energy of the system is not constant  System: block + Earth

A block on a table (friction between the table and the block is not negligible) is attached to a wall via a spring that is horizontal. You give the block a brief push so that the block travels horizontally. Call the initial state when the spring first reaches its maximum stretch in the initial direction of motion. The final state is when the spring first reaches its zero stretch length.
Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring) + table
Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring)
Energy of the system is constant Energy of the system is not constant  System: block + table
Energy of the system is constant Energy of the system is not constant  System: table
Energy of the system is constant Energy of the system is not constant  System: block

1pts

A block on a table (friction between the table and the block is not negligible) is attached to a wall via a spring that is horizontal. You give the block a brief push so that the block travels horizontally. Call the initial state when the spring first reaches its maximum stretch in the initial direction of motion. The final state is when the spring first reaches its zero stretch length.

Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring) + table
Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring)
Energy of the system is constant Energy of the system is not constant  System: block + table
Energy of the system is constant Energy of the system is not constant  System: table
Energy of the system is constant Energy of the system is not constant  System: block

A bug flying horizontally at 0.85 m/s collides and sticks to the end of a uniform stick hanging vertically. After the impact, the stick swings out to a maximum angle of 5° from the vertical before rotating back. If the mass of the stick is 10 times that of the bug, calculate the length of the stick.

IP Two bicycles approach one another, each traveling with a speed of 7.50 m/s . If bicyclist A beeps a 310 Hz horn, what frequency is heard by bicyclist B? Which of the following would cause the greater increase in the frequency heard by bicyclist B: (i) Bicyclist A speeds up by 1.50 m/s, or (ii) bicyclist B speeds up by 1.5 m/s?