Charges q, q, and -q are placed on the x-axis at x = 0, x = 2 m, and x = 4 m, respectively. At which of the following points does the electric field have the greatest magnitude?

a x = 1 m

b x = 3 m

c x = 5 m

d The electric field has the same magnitude at all three positions.

1. An aluminum ion Al3+ is placed on the positive x-axis a distance of 0.80 m from the origin. A -15 nC charge is on the positive x-axis a distance of 0.50 m from the origin. A +32 nC charge is on the negative x-axis a distance of 1.00 m from the origin.

a) Find the net force on the -15 nC charge. _____________________

b) Find the net force on the aluminum ion. _____________________

c) Find the electric field at the origin. _____________________

A 14 kg projectile is launched at 380 m/s at a 55 ∘ angle to the horizontal. At the peak of its trajectory it collides with a second projectile moving horizontally, in the opposite direction, at 140 m/s . The two stick together and land 9.8 km horizontally downrange from the first projectile's launch point.

Find the mass of the second projectile.

1.50 × 1020electrons flow through a cross section of a 4.50-mm-diameter iron wire in 6.00 s .

What is the electron drift speed?

You are a member of an alpine rescue team and must get a box of supplies, with mass 2.20 kg , up an incline of constant slope angle 30.0 ∘ so that it reaches a stranded skier who is a vertical distance 3.50 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10⁻². Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s2.

Part A. Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.

1. a) When a student places her hands on the metal surface of the Van der Graaff generator, the hair rises. Explain how and why this happens. b) Why the student should be isolated from the floor? 

2. How does a lightning rod function and what is it made of?

3. What is high voltage and why is it dangerous?

4. What happens between a charged rod and a sphere if a piece of paper is placed between them?

A) Estimate how much energy is required to transmit one action potential along the axon 20 cm long of radius 20 μm . The thickness of the membrane is about 10−8 and the dielectric constant is about 3. [Hint: the energy to transmit one pulse is equivalent to the energy stored by charging the axon capacitance].

B) What minimum average power is required for 104 neurons each transmitting 100 pulses per second?

The magnetic field has been measured to be horizontal everywhere along a rectangular path x= 22 cm long and y= 4 cm high, shown in the figure. Along the bottom the average magnetic field B1= 1.3 × 10^-4 tesla, along the sides the average magnetic field B2= 1 × 10^-4 tesla, and along the top the average magnetic field B3= 0.4 ×10^-4 tesla. What can you conclude about the electric currents in the area that is surrounded by the rectangular path?

. You have constructed a pendulum by tying a 760 g mug to a 73 cm string. You pull the mug 21 degrees to the side, then you release it. a) Draw an illustration of the pendulum, labeling all information known. b) What are the kinetic and potential energy at the top and bottom of the swing? c) What is the work done by gravity from top to bottom of the swing? d) What is the work done by the string from the top to the bottom of the swing? e) Assuming negligible air resistance, what is the mug’s speed when its at the lowest point in its swing? f) Draw the free-body diagram for the mug when the string is 10 degrees from vertical. g) What is the mug’s radial and tangential acceleration when the string is 10 degrees from vertical? h) What is the tension in the string when the mug is at the bottom of its swing? i) At what angle is the tension in the string equal to the weight of the mug?

Please show all work and formulas!

4. A strong microscope objective lens "100

please answer all questions

1.) Which of the types of energies in the electromagnetic spectrum have the ability to ionize?

2.) What makes an x-ray photon higher energy than a microwave?

3.) State the wave equation

A 1700kg car starts from rest and drives around a flat 68-m-diameter circular track. The forward force provided by the car's drive wheels is a constant1300N .

What is the magnitude of the car's acceleration at t=12s?

What is the direction of the car's acceleration at t=12s? Give the direction as an angle from the r-axis.

If the car has rubber tires and the track is concrete, at what time does the car begin to slide out of the circle?

A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(x,y)= (6.00 J/m2 )x2-(3.40 J/m3 )

Part A

What is the magnitude of the acceleration of the block when it is at the point x= 0.31 m , y= 0.61 m ?

Part B

What is the direction of the acceleration of the block when it is at the point x= 0.31 m , y= 0.61 m ?

Two particles each with charge +2.14

A 12.0m uniform beam is hinged to a vertical wall and held horizontally by a 5.00m cable attached to the wall 4.00m above the hinge, as shown in the figure below (Figure 1) . The metal of this cable has a test strength of 1.00kN , which means that it will break if the tension in it exceeds that amount.

What is the heaviest beam that the cable can support with the given configuration?

Find the horizontal component of the force the hinge exerts on the beam.

Find the vertical component of the force the hinge exerts on the beam.