A room with 2.7-m-high ceilings has a metal plate on the floor with V = 0V and a separate metal plate on the ceiling. A 1.5 g glass ball charged to 5.0 nC is shot straight up at 4.7 m/s .

How high does the ball go if the ceiling voltage is 2.9×10⁶ V ?

How high does the ball go if the ceiling voltage is −2.9×10⁶ V ?

A rescue helicopter lifts a 70.6-kg person straight up by means of a cable. The person has an upward acceleration of 0.728 m/s² and is lifted from rest through a distance of 11.5 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person.

An electron is accelerated inside a parallel plate capacitor. The electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity β. The distance between the plates is 11.0 cm, and the voltage difference is 147 kV. Determine the final velocity β of the electron using classical mechanics. (The rest mass of the electron is 9.11×10^-31 kg, the rest energy of the electron is 511 keV.)

What is the final velocity β of the electron if you use relativistic mechanics?

There is a region with a constant magnetic field 6.31T . The magnetic field is directed out of the page. A conducting rod moves with a velocity of 1.58m/s , along a V shaped wire that is in the shape of a right triangle. At time = 0 s the rod is at the vertex of the triangle where the angle at the vertex is 19degrees . The right angle is where the conducting rod is. This means the rod is moving along the x axis and the rod is the y axis.

What is the emf induced in the rod after it has moved from the vertex for a time of 10.9s ?

What is the current induced in the rod if the resistance is 5.31ohms ?

What is the power in the rod?

It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 120 m above a raging river and attach a 30-m -long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 45 N/m . Assume that your mass is 71 kg . After a long hesitation, you dive off the bridge.

Part A

How far are you above the water when the cord reaches its maximum elongation?

Express your answer with the appropriate units.

I need an equation for finding the veocity of water at the end of an incline.

• the velocity at the top is 0
• the incline is a right triangle with a hieght of 3000ft and a base of 9 miles
• the fluid is water
• the depth of the water is 3ft

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7530 km. Satellite B is to orbit at an altitude of 24200 km. The radius of Earth R_Eis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 28.5 kg? (d) By how much?

• Explain decomposition and superposition of force vectors.
• Give applications of Newton's Laws of Motion in daily lives.

you jump from a 20 meter tall building to a 12 meter tall building you jump horozontally with a speed of 5.0 m/s.

all must be answered using ther following equations v = dx/dt;   a = dv/dt;    v = v₀ + at;    x = x₀ + v_ot + at²/2;    v² = v_o² + 2aD

how long in seconds are you in the air?

how far apart are the two buildings assuming you jumped from the edge and landed on the edge?

what is your speed when you land?

for this question you must use the pythagrium therm

True or False

A + charge initially moving west through the earths magnetic field along the equator will fall faster than if it is moving east.

A charged particle moving perpendicular to a uniform B field will move on a circular path.

The magnetic field lines enter the north poles of a bar magnet and leave the south poles and are continuous inside the magnet.

Two antiparallel currents repel each other.

Two antiparallel currents attract.

The direction of the magnetic dipole moment of a flat current carrying coil is perpendicular to the flat surface of the coil and positive for a counter clockwise current.

Discuss how Maxwell's predictions were confirmed by the experiments carried out by Hertz.

Find the longest and shortest wavelength when a hydrogen atom in the ground state is excited by radiations of wavelength 975 angstrom.

Show how to obtain equation (4) from equations (1), (2), and (3). Please show each step.

(1) Tr=Iα
(2)α=a/r
(3) mg-T-f=ma

(4) I=mr²[(g/a)-1-(f/ma)]

A parallel-plate capacitor has capacitance 4.50 μF.

(a) How much energy is stored in the capacitor if it is connected to a 8.00-V battery?
μJ

(b) If the battery is disconnected and the distance between the charged plates doubled, what is the energy stored?
μJ

(c) The battery is subsequently reattached to the capacitor, but the plate separation remains as in part (b). How much energy is stored?
μJ