A 1.0 kg ball and a 2.0 kg ball are connected by a 1.0-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 19rpm .

What torque will bring the balls to a halt in 5.0s ?

Express your answer to two significant figures and include the appropriate units.

A weather balloon measures a temperature of 11°C and a mixing ratio of 12.5 g kg^-1 at 850 hPa. Twenty-four hours later, the passage of a dryline has left the same location with the same temperature but a mixing ratio of 6 g kg^-1. What is the change in the density of the air during this period? You may assume an ideal gas.

Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure below, where

A = 4.15 km

and

?_C = 23°.

He then correctly calculates the length in kilometers and orientation in degrees west of south of the fourth side D. What is his result in kilometers and degrees west of south?

A= 4.15km corresponding degrees is 7.5

B= 2.48 and corresponding degrees is 16

C= 3.02 km and degrees is 23

a) What is the minimum index of refraction of a clear material if a minimum thickness of 122 nm , when laid on glass, is needed to reduce reflection to nearly zero when light of 675 nm is incident normally upon it? Assume that the film has an index less than that of the glass.

I got n_min=2.76 and it is saying incorrect.. used the equation 2t=m λ_n not sure what I am doing wrong

b) What is the main index of refraction of the material if the film has an idea greater than that of the glass?

For the system of four capacitors shown in the figure below, find the following. (Use C1 = 1.0

A block attached to a spring is displaced from equilibrium to the position x=+1.3m and released. The period is 2.6s. At what positions and times during the first complete cycle do the following conditions occur.

a) |v|=0.5vmax|, Where vmax is the maximum speed?

First position:  m . . . First time:  s.
Second position:  m . . . Second time:  s.
Third position:  m . . . Third time:  s.
Fourth position:  m . . . Fourth time:  s.

b) |a|=0.5amax. Where amax is the maximum magnitude of the acceleration?

First position:  m . . . First time:  s.
Second position:  m . . . Second time:  s.
Third position:  m . . . Third time:  s.
Fourth position:  m . . . Fourth time:  s.

An RLC series circuit has a 2.50 Ω resistor, a 100 µH inductor, and an 87.5 µFcapacitor.

(a)

If the voltage source is Vrms = 5.60 V , what is the Irms at 120 Hz?

A ( ± 0.001 A)

(b)

What is the phase angle of the current vs voltage at this frequency? Enter a positive number between 0 and 90

degrees ( ± 0.1 degrees)

(c)

What is the Irms at 5.0 kHz?

A ( ± 0.01 A)

(d)

What is the phase angle of the current vs voltage at this frequency? Enter a positive number between 0 and 90

degrees ( ± 0.1 degrees)

(e)

What is the resonant frequency of the circuit?

kHz ( ± 0.01 kHz)

(f)

What is Irms at resonance?

A ( ± 0.01 A)

(g)

What is the phase angle of the current vs voltage at resonance? Enter a positive number between 0 and 90

degrees ( ± 0.1 degrees)

Use the exact values you enter to make later calculations.

A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.57) at an angle of ? = 31.2

) A 1.53-kg bucket hangs on a rope wrapped around a pulley of mass 7.07 kg and radius 66 cm.   This pulley is frictionless in its axle, and has the shape of a solid uniform disk. After the bucket has been released, what is the angular acceleration of the pulley?

Carnot Engine questions: What was the full name of the man who imagine the first Carnot Engine? What thermodynamic theory did he use to calculate its efficiency? Describe a Carnot engine, in terms of thermodynamic processes. What does Carnot's Theorem say about the efficiency of a Carnot engine operating between two absolute temperatures? What does Carnot's Theorem say about the efficiency of a reversible engine which is not a Carnot engine operating between two absolute temperatures? What does Carnot's Theorem say about the efficiency of an irreversible engine operating between two absolute temperatures?

In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.10 m. The mug slides off the counter and strikes the floor 0.20 m from the base of the counter.
(a) With what velocity did the mug leave the counter?
____________m/s ????

(b) What was the direction of the mug's velocity just before it hit the floor?
_____________

What is the maximum weight that can be suspended on a 25kg poll, 3/5 from the end? The maximum tension of the 30 degree guy-wire is 1500N. Find the horizontal and vertical forces exerted on the poll by the hinge.

An alpha particle is a nucleus of helium. It has twice the charge and four times the mass of the proton. When they were very far away from each other, but headed toward directly each other, a proton and an alpha particle each had an initial speed of 4.1×10^-3 c, where c is the speed of light. What is their distance of closest approach? There are two conserved quantities. Make use of both of them. (c = 3.00 × 10^8 m/s, k = 1/4πε 0 = 8.99 × 10^9 N · m2/C2, e = 1.60 × 10^-19 C, m proton = 1.67 x 10^-27 kg)

A.) 1.1 x 10^-13 m

B.) 1.6 x 10^-13 m

C.) 1.8 x 10^-13 m

D.) 1.4 x 10^-13 m

ESSAY TYPE QUESTION:    Define Newton’s three laws of motion, and explain what they represent collectively. Also provide at least one real life example of one of Newton’s laws. Some questions could further be explained by a diagram if possible.