A small loop of copper wire is inside and held perpindicular to a large, uniform magnetic field. You move the loop in circles and vary the speed. What do you observe?

As a quarterback throws the football, it leaves his hand at a height of h and at an initial speed of v0 at an angle θ above the horizontal. The receiver can’t get to the football in time and it falls onto the field. What is the ball’s speed as it hits the ground? Solve this problem in two ways: (a) using kinematics, explicitly calculating the trajectory the ball takes (b) using conservation of (kinetic + potential) energy

Explain why the sine and logarithm of 1 meter are not well-defined.

Consider an ideal massless rubber-band which has an upstretched ‘l’. A roll of 50 pennies of total mass m_pis attached to the rubber band. The new stretched length of the rubber band with the pennies hanging down from the end of the rubber band is 1:

Assume the rubber band satisfies Hookes’ law when it is stretched, what is the spring constant of the rubber band?

A small nut with mass with the mass m_nis then attached to the rubber band and both are rotated by a motor at an unknown constant frequency f. The rubber band is stretched to a length ‘l’.

Find an expression for the frequency

How long does it take for the nut to complete one rotation?

What is the angular frequency of the nut?

A small solid sphere of mass M₀, of radius R₀, and of uniform density ρ₀ is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.

The new sphere has mass M = M₀ and radius R > R₀
The new sphere has radius R = R₀ and density ρ > ρ₀
The new sphere has radius R < R₀ and mass M = M₀
The new sphere has mass M < M₀ and density ρ = ρ₀
The new sphere has density ρ < ρ₀ and radius R > R₀
The new sphere has density ρ = ρ₀ and mass M > M₀

9.) The 17 kg shopping cart carries a 73 kg child. The shopping cart wheel base b = 480 mm and its vertical CG is symmetrically located 580 mm above the floor surface. The child remains centered symmetrically between the cart wheels with her vertical CG located 750 mm above the floor surface. Determine (a) location above the floor of the vertical CG of the cart + child in mm and (b) the tipping angle in degrees.

A transmission wire oriented parallel to the x-axis carries a current of 200 A flowing along the +x direction. A second transmission wire also oriented parallel to the x-axis but lying at a perpendicular distance of 1.30 m below the first wire carries a current of 215 A flowing along the +x direction. What is the magnitude of the total magnetic field at a point 2.3 m directly below a point midway between the two wires?

What is the direction of the net magnetic field?

transmission wire oriented parallel to the x-axis carries a current of   200 A    flowing along the +x direction. A second transmission wire also oriented parallel to the x-axis but lying at a perpendicular distance of   1.30 m    below the first wire carries a current of   215 A     flowing along the +x direction. If the location where the net magnetic field is zero is at perpendicular distance  X from the first wire, what is X ?

A transmission wire oriented parallel to the x-axis carries a current of   200 A    flowing along the +x direction. A second transmission wire also oriented parallel to the x-axis but lying at a perpendicular distance of   1.30 m     below the first wire carries a current of   215 A    flowing along the -x direction. What is the magnitude of the total magnetic field at a point   2.3 m    directly above a point midway between the two wires?

#5.Which experiment that we did do you think was the most prone to random error, and which do you think was most prone to systematic error? Why was that the case for those experiments?

Explain why lasers can be used to perform surgery and cut through metal while incandescent light cannot.

1a. What would be the effect on your calculations of specific heat of the metal if there was heat lost while transferring the metal? Explain why. 1b. What would be the effect on your calculation of specific heat of the metal if the metal you heated was wet, and contained 2% water by weight when you poured it into the calorimeter? Explain why. 1c. What would be the effect on your calculations on specific heat of the metal if you didn't wait until the final mixture reached equilibrium temperature? Explain why. 1d. What would be the effect on your calculations of specific heat of the metal if you read the temperature too high? Explain why.

Besides the gravitational force, a 2.50-kg object is subjected to one other constant force. The object starts from rest and in 1.20 s experiences a displacement of (5.40î − 3.30ĵ) m, where the direction of ĵ is the upward vertical direction. Determine the other force.

a. Compute the energy of a photon with incident energy 200 kev scattered at 90°

in a Compton event.

b. Compute the energy of the backscattered photon from a 400 kev incident

photon.

c. Compute the energy of the recoil electron.

QUESTION 1

Engineers wish to launch a satellite from the surface of the Moon. What is the minimum speed the satellite must have to escape the Moon’s gravity – that is, what is the escape velocity at the surface of the Moon? The Moon has a mass of 7.3x10^22 kg and a radius of 1.7x10^6 m.

10 points   

QUESTION 2

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). What is the satellite’s gravitational acceleration due to the Sun, which has a mass of 2.0x10^30 kg?

10 points   

QUESTION 3

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). What is the satellite’s speed?

10 points   

QUESTION 4

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). What is the satellite’s gravitational potential energy if it has a mass of 200 kg? The Sun has a mass of 2.0x10^30 kg.

10 points   

QUESTION 5

The satellite is guided to a circular orbit about the Sun at the same distance from the Sun as the Earth (1.5x10^11 m), but far away from the Earth (so only the Sun’s gravity is important). The satellite is the stopped using orbital thrusters and allowed to fall to the Sun. What is the satellite’s speed when it reaches the surface of the Sun? The Sun has a mass of 2.0x10^30 kg and a radius of 7.0x10^8 m.

Hint: Use energy conservation. First consider the potential energy when it is at the Earth’s orbit, then equate this to the sum of the potential energy at the surface of the sun and the kinetic energy at the surface of the sun.

Internal Resistance of a battery lab

I'm doing this lab where we have to find the internal resistance of a charged and uncharged battery. We got our data by plotting a V vs I graph, and found the internal resistance of each battery using the slopes of the graphs. From my graphs, I can see that the internal resistance of the charged battery is higher than that of the uncharged one. Which makes sense. However, I'm having a hard time writing the conclusion for this lab. The current increases as the voltage decreases for both batteries, which is obvious, what else am I supposed to say? Any comments I can add?