1.A 65.0 kg object slides down a 30^o angle slope from rest at a height of 15.0 m. The coefficient of kinetic friction between the object and the slope surface is 0.15. (A) What is the object

An infinite number of thin parallel wires are grouped into two sheets. One sheet spans from (x,y) = (- ∞, 5cm) to (x,y) = (+ ∞ , 5cm) and the other spans from (x,y) = (-∞ , - 5cm) to (x,y) = (+ ∞, - 5cm) . These wires all carry a current of 5A out of the page and there are 10 wires per cm.

Determine, in T, the magnetic field in the x direction inside the two sheets at y=0. Include the appropriate sign in your answer

m_earth = 5.9742 x 10²⁴ kg
r_earth = 6.3781 x 10⁶ m
m_moon = 7.36 x 10²² kg
r_moon = 1.7374 x 10⁶ m
d_{earth to moon} = 3.844 x 10⁸ m (center to center)
G = 6.67428 x 10^-11 N-m²/kg²

A 1600 kg satellite is orbitting the earth in a circular orbit with an altitude of 1600 km.

How much energy does it take just to get it to this altitude?

How much kinetic energy does it have once it has reached this altitude?

What is the ratio of the this change in potential energy to the change in kinetic energy? (i.e. what is (a)/(b)?)

What would this ratio be if the final altitude of the satellite were 4500 km?

What would this ratio be if the final altitude of the satellite were 3185 km?

1. A plane is initially 350 km away from Louisville in the direction 30.0◦ north of west traveling due south at a speed of 160 km/hr. Three hours later, the plane is 190 km due south of Louisville traveling at a speed of 150 km/hr in the direction 40.0◦ north of east.

(a) Draw the vector diagram you would use to calculate the average velocity. Make sure you label all your vectors and clearly indicate their direction.

(b) What is the average velocity (including magnitude and direction)?

(c) Draw the vector diagram you would use to calculate the average acceleration. Make sure you label all your vectors and clearly indicate their direction.

(d) What is the average acceleration (including magnitude and direction)?

#8)

A series RCL circuit has a resonant frequency of 1450 Hz. When operating at a frequency other than 1450 Hz, the circuit has a capacitive reactance of 5.0 ? and an inductive reactance of 26.0 ?.

(a) What is the value of L?

(b) What is the value of C?

A synchronous satellite, which always remains above the same point on a planet

When a light ray travels from water to air, the wave_____________________.

Find the thickness of film of a camera lens coating that minimizes normal reflection in the wavelength range 400 nm to 700 nm. Assume refractive index of film nfilm=1.38 and nglass=1.50

A current I flows to the right through a rectangular bar of conducting material, in the presence of a uniform magnetic field B pointing out of the page.

a) If the moving charges are positive, in which direction are they deflected by the magnetic field? This deflection results in an accumulation of charge on the upper and lower surfaces of the bar, which in turn produces an electric force to counteract the magnetic force. Equilibrium occurs when the two exactly cancel. (This phenomenon is called the Hall effect).

b) Find the resulting potential difference (the Hall voltage) between the top and bottom of the bar, in terms of B, v (the speed of the charges), and the relevant dimensions of the bar.

c) How would your analysis change if the moving charges were negative? [The Hall effect is the classic way of determining the sign of the mobile charge carriers].

18.43---- a) You warm 2.00 kg of water at a constant volume from 19.5 ∘C to 31.0 ∘C in a kettle. For the same amount of heat, how many kilograms of 19.5 ∘C air would you be able to warm to 31.0 ∘C? Make the simplifying assumption that air is 100% N2.

b)What volume would this air occupy at 19.5 ∘C and a pressure of 1.20 atm ?

When a thermometer is inserted into hot water, the mercury or alcohol is sometimes observed to fall slightly before it rises. Why?

Two point particles separated by 0.8 m carry a total charge of 185

A wing of area 1.5 ft2 and aspect ratio of 6 is tested in a subsonic wind tunnel at a velocity of 77 knots at standard sea level conditions. At an angle of attack of -1 degree, the measured lift and drag are 0 and 0.181 lb, respectively. At an angle of attack of 2 degrees, the lift and drag are measured as 5.0 and .23 lb, respectively. Calculate the span efficiency factor (i.e. Oswald efficiency factor).