A 35.0-kg child swings in a swing supported by two chains, each 2.92 m long. The tension in each chain at the lowest point is 342N.

(a) Find the child's speed at the lowest point.
m/s

(b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)
N (upward)

Please show Each Formula and Each Step used to obtain the answer(s).

A hydrogen atom consists of a single proton and a single electron separated on the average by 0.578 x 10^-10 meters. Calculate the acceleration of the electron due to the force. Write answer(s) to two decimal places and in the form of (1.6E-19) if applicable/where needed.

An unmarked police car traveling a constant 95km/h is passed by a speeder traveling 133km/h .

Precisely 1.00 s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 2.50m/s2 , how much time passes after the police car is passed by a speeder and before the police car overtakes the speeder (assumed moving at constant speed)?

I see demonstrations of single slit diffraction associated with the uncertainty principle. Is single slit diffraction a result of uncertainty, or is this just a demonstration to help understand uncertainty?

1. describe what is needed to form longitudinal standing waves in a slinky and how they are formed.

2. what is the difference between a longitudinal wave and a standing longitudinal wave. how are standing waves formed?

3. explain how sound waves are propagated through air. are these longitudinal or transverse waves?

4. describe the motion of individual air molecules at a node and at an antinode. compare this to the motion of the individual spring coils at nodes and antinodes when a standing wave is produced in a slinky.

5. what is the effect of changing the frequency of the sound? does it change the velocity of the wave? does it change the wavelength?

6. describe the motion of the individual air molecules at a node and at an antinode. compare this to the motion of the individual spring coils at nodes and antinodes when a standing wave is produced in a slinky.

7. what is the effect of changing the frequency of sound. does it change the velocity of the wave? does it change the wavelength?

8. a person who has just inhaled helium gas speaks with a high pitched voice. discuess why this happens given that your larynx and other parts of you respiratory passage act rather like a resonance tube with you vocal chords producing the necessary energy to vibrate the air.

Determine whether each of the statements below is true or false, and place it in the appropriate bin.

Which statements below are True and which are False:

1. It is possible to move at constant speed without moving at constant velocity

2.  It is possible to move at constant velocity without moving at constant speed

3. If you are given an objects speed you can definitely determine it's velocity

4. Two objects traveling the same velocity must have the same speed

5. If you know the distance an object travels and the time it takes to do so you can determine the objects speed

6. Two objects traveling the same speed must have the same velocity

(a) Find the pressure difference on an airplane wing if air flows over the upper surface with a speed of 114m/s , and along the bottom surface with a speed of 107m/s . (in kPa)

(b) If the area of the wing is 32m2 , what is the net upward force exerted on the wing? (in kN)

Asteroid X, speeding at 100 m/s towards an equally massive but stationary asteroid Y, collides with a glancing blow. After collision, X is deflected at 35 degrees from its original direction while Y travels at 45 degrees to the original direction of X, assume total momentum is conserved.

a. Find the speed of each asteroid after collision.

b. What fraction of the original KE is lost in the collision?

Jennifer lifts a 2.4 kg carton of cat litter from the floor to a height of 0.81 m.

(a) How much total work is done on the carton during this operation?

___________J

b) Jennifer then pours 0.7 kg of the litter into the cat's litter box on the floor. How much work is done by gravity on the 0.7 kg of litter as it falls into the litter box?

____________J

Special relativity: describe the principle of relativity and Lorentz transformations, and derive the effects of time dilation and length contraction. Also explain the meaning of the equation E = m c2

Basic understandings of each part of the question please. I am trying to figureout the concept of my curriculum.

Oil has a density ? of 860kg/m3. An oil droplet is suspended between two plates 1.0cm apart by adjusting the potential difference between them to 1177V. When the voltage is removed, the droplet falls and quickly reaches constant speed. It is timed with a stopwatch and falls 3.00mm in 7.33s. The viscosity of air is 1.83

A very long, straight solenoid with a cross-sectional area of 5.85 cm^2 is wound with 32 turns of wire per centimeter, and the windings carry a current of 0.245 A . A secondary winding of 2 turns encircles the solenoid at its center. When the primary circuit is opened, the magnetic field of the solenoid becomes zero in 4.75×10^−2 s .

What is the average induced emf in the secondary coil?

a) write down the decay process for carbon-10.

       b) calculate the change in energy for the reaction?

       c) show the shell model for the reaction and explain how this shows which element is stable?

       d) calculate the binding energies and the binding energy per nucleon for the reaction.

       e) does this also enable you to tell which should be stable.

Weighing Lunch

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.100 kg of turkey. The slices of turkey are weighed on a plate of mass 0.400 kgplaced atop a vertical spring of negligible mass and force constant of 200 N/m . The slices of turkey are dropped on the plate all at the same time from a height of 0.250 m . They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small.

Part A

What is the amplitude of oscillations A of the scale after the slices of turkey land on the plate?

Express your answer numerically in meters and take free-fall acceleration to be g = 9.80 m/s2 .

A = ?? m

Part B

What is the period of oscillation T of the scale?

Express your answer numerically in seconds.

T = ?? s