Compare and contrast a simple pendulum with a mass/spring pendulum. Be sure to address velocity, acceleration, and energy conversions.

In the shot put, a heavy lead weight—the "shot"—is given an initial velocity, starting from an initial elevation approximately equal to the shot putter's height, say, 2.00 m. If v0 = 7.05 m/s, find the horizontal distance traveled by the shot for the following initial angles above the horizontal.

theta 0 =?

theta 40.0 = ?

theta 45.0 = ?

In 1610, Galileo used his telescope to discover four prominent moons around Jupiter. Their mean orbital radii a and periods T are as follows: (a) Io has a mean orbital radius of 4.22 x 108 m and a period of 1.77 days. Find the mass of Jupiter from this information. (b) Europa has a mean orbital radius of 6.71 x 108 m and a period of 3.55 days. Find the mass of Jupiter from this information. (c) Ganymede has a mean orbital radius of 10.7 x 108 m and a period of 7.16 days. Find the mass of Jupiter from this information. (d) Callisto has a mean orbital radius of 18.8 x 108 m and a period of 16.7 days. Find the mass of Jupiter from this information.

An object is launched at a velocity of 20 m/s in a direction making an angle of 25 degrees upward with the horizontal.

a) What is the maximum height reached by the object?

b) What is the total flight time (between launch and touching the ground) of the object?

c) What is the horizontal range (maximum x above ground) of the object?

d) What is the magnitude of the horizontal component of the velocity of the object just before it hits the ground?

e) What is the magnitude of the vertical component of the velocity of the object just before it hits the ground?

f) What is the magnitude of the total velocity of the object just before it hits the ground?

g) What is the angle with which the object hits the ground?

Problem 5. A non-conductive solid sphere has a volumetric charge distribution given by ρ (r) = (β / r) sin (πr / 2R). Where R is the radius of the sphere and β a positive constant. Find the total charge contained in the spherical volume and the electric field in regions r> R and r <R. Show that the two expressions for the electric field are equal in r = R.

The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km . Cars travel around the track at a constant speed of 100 km/h. A car starts at the easternmost point of the ring and drives for 7.5 minutes at this speed. Part A What distance, in km, does the car travel? Express your answer in kilometers. Part B What is the magnitude of the car's displacement, in km, from its initial position? Express your answer in kilometers. Part C What is the speed of the car in m/s? Express your answer in meters per second.

Write a paragraph to show how to apply TEM techniques in nanowire research?

An electron is released from rest on the axis of an electric dipole that has charge e and charge separation d = 33 pm and that is fixed in place. The release point is on the positive side of the dipole, at distance 9.4d from the dipole center. What is the electron's speed when it reaches a point 3.2d from the dipole center?

A physicist at a fireworks display times the lag between seeing an explosion and hearing its sound. She finds it to be 0.36 s.

a) How far away is the explosion, in meters, if the air temperature is 18°C (with a velocity constant of v = 331 m/s) and if you neglect the time taken for light to reach the physicist?

b) Calculate the distance, in meters, to the explosion taking the speed of light into account. (Note that this distance is negligibly greater than what you found in part (a).)

I understand the equation to be used is v = vo (sqrt( T/273)) but how was this equation derived?

What are the three longest wavelengths for standing waves on a 240 cm long string that is fixed at both ends?

If the frequency of the second-longest wavelength is 50.0 Hz, what is the frequency of the third-longest wavelength?

A wire carries an I1 = 7.40-A current along the x-axis, and another wire carries an I2 = 5.85-A current along the y-axis, as shown in the figure below. What is the magnetic field at point P, located at x = 4.00 m, y = 3.00 m?

magnitude µT

direction

In the "Bohr model" of the Hydrogen atom, a single electron is said to have a circular orbit around the nucleus (in this case consisting of a single proton), analogously to how the Earth orbits the Sun. If the electron orbits at a distance of 1.5�10^-10 m, What is the electric force felt by the electron?   What speed must the electron have in order to maintain its orbit? ( in mi/hr and m/s)

Romeo is throwing pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden h = 8.8 m below her window and L = 9.5 m from the base of the wall (Figure 1).

How fast are the pebbles going when they hit her window?

A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 10.0cm , and the outer sphere has radius 16.0cm . A potential difference of 150V is applied to the capacitor.

1-What is the energy density at r = 10.1cm , just outside the inner sphere? (J/m^3)

2-What is the energy density at r = 15.9cm , just inside the outer sphere?