A small steel ball bearing with a mass of 11.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.35 m. Calculate the horizontal distance the ball would travel if the same spring were aimed 27.0^o from the horizontal.

1. A generator has a 150-turn square coil, 5cm on a side.

Part A

Find the peak emf in this coil when it's rotating at 110Hz in Earth's field, B=5

electrons are ejected from a metallic surface with speeds ranging from 4.5 times ten to the -5 when light with a wavelength of 600 nm is used a) what is the work function of the surface? B) what is the cutoff frequency for the surface?

1. An electron at a museum travels at 0.99998c down a 3.2km long tunnel find γ first

a. How long will the trip take according to a clock in the control room?

b. How long will the trip take according to the electron’s internal clock?

c. What is the trip distance according to the electron?

please answer all parts of the question and make writing legible thank you

A tiny ball (mass = 0.043 kg) carries a charge of -18.4

A cue ball traveling at 0.60 m/s hits the stationary 8-ball, which moves off with a speed of 0.20 m/s at an angle of 33° relative to the cue ball's initial direction. Assuming that the balls have equal masses and the collision is inelastic, what will be the speed of the cue ball?

An explosion breaks an object initially at rest into two pieces, one of which has 1.2 times the mass of the other. If 7600 J of kinetic energy were released in the explosion, how much kinetic energy did the heavier piece acquire?

A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 190 N/m. When t = 1.60 s, the position and velocity of the block are x = 0.181 m and v = 3.660 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

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?