A block with mass m = 17.2 kg slides down an inclined plane of slope angle 13.8^o with a constant velocity. It is then projected up the same plane with an initial speed 4.05 m/s. How far up the incline will the block move before coming to rest?

a. A child is sitting on the outer edge of a merry-go-round that is 3.19 m in diameter. If the merry-go-round makes 8.9 rev/min, what is the velocity of the child in m/s?

b. A markswoman of mass 73 kg shoots a bullet of mass 96 grams at a muzzle velocity of 696 m/s. What should the recoil speed of the markswoman be, if she is standing on a slick surface?

c. A golf ball of mass 0.050 kg has a velocity of 102 m/s immediately after being struck. If the club and ball were in contact for 0.59 ms, what is the average force exerted on the ball?

d. An undiscovered planet many light years from Earth has one moon in orbit. This moon takes 16.8 days on average to complete a nearly circular revolution around the planet. If the distance from the center of the moon to the surface of the planet is 432 x 10⁶ m and the planet has a radius of 4.14 x 10⁶ m, calculate the moon’s radial acceleration.

1. In a high temperature experiment an ozone molecule, O3, moving right at 1.5 × 103 m/s, collides head-on with an oxygen molecule, O2, which is moving to the left at 400 m/s. Both of these velocities are for the molecules viewed from the Earth frame. No chemical reaction takes place but the ozone becomes “vibrationally excited” during the interaction so that its internal energy increases by 1.4 × 10−20 J. You will need the inertias of the molecules, but you can look up the inertias of O2 and O3 molecules yourself. The collision takes place in gas phase, so the nearest other molecules are very far away compared with the size of the molecules. Molecular scale collisions like this take place in extremely short times (of order 10−15 s is fairly typical).

(a) Is the system of the O2 and O3 molecules isolated? Explain.

(b) Is the system of the O2 and O3 molecules closed? Explain.

(c) What kind of collision is this (elastic, inelastic, totally inelastic, explosive separation)? Explain.

(d) Find the center of mass velocity of the system, then transform the velocities of the molecules into the center of mass frame. (e) Find the velocity of the ozone molecule after the collision, in the Earth frame.

(f) What is the minimum relative speed of the two molecules that would allow it the ozone molecule to be excited into this vibrational state with Eint = 1.4 × 10−20 J?

Explain why the radial velocity (or gravitational tugs) method is unable to detect Earth-like planets orbiting other stars.

Hi can you please answer the question correctly please. I WILL RATE YOU. : ) We can use any source that answers the prompt.

Angular momentum: Let the Hamiltonian of our particle be described as H = ??^2 where J is the angular momentum operator. a) Diagonalise the Hamiltonian for j=0,1

b) Use explicit form of J+ and J- rising and lowering operators and Jz operator to obtain the 4 lowest energy levels for j=0,1 .

Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x-axis and is fixed at x=0.

What is the amplitude of the two traveling waves that form this pattern?

What is the speed of the two traveling waves that form this pattern?

Find the maximum and minimum transverse speeds of a point at an antinode.

What is the shortest distance along the string between a node and an antinode?

Immediate!! An induction motor has the following parameters.

Determine the maximum transient torque that can occur when the 100 hp motor is plug reversed (sudden reversal of the excitation phase rotation). Assume the machine is running in the steady state with rated load prior to the plugging and that the load torque is constant over the interval of interest. Also assume that all three phases disconnect and connect simultaneously and that the time between opening and closing can be varied. Compare the simulation results with an approximate solution using the trapped rotor flux model.

460 V (lin-to-line), 100 HP, 60 Hz, 4-pole, r s =r r =0.0425 ohm, L s =L r =23.33 mH, L m =22.57 mH, J=2 kg-m 2 Rated slip: s R =0.0177, rated stator current I R =109.5 A, rated power factor: 0.88.

A cannon is shot at 48 m/s at an angle of 30 degrees to the horizontal off a cliff that is 78.4 meters tall. How fast will the cannonball be moving when it hits the ground at the bottom of the cliff?

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a. Consider a Michelson interferometer with one fixed arm and one moveable arm, both of length 5 m. If 300 nm laser light is shown through the device, what percentage change in the length of the movable arm will shift the detector from constructive to destructive interference?

b. A telescope is looking at a 2 star system. If the stars are 1.5 x 10^13 m apart and 9 x 10^16 m away, how big does the telescope opening have to be to resolve the two stars?

c. If red light (lambda = 800 nm) and violet light (lambda = 400 nm) are alternately shown through a slit with width 1 mm, find the distance between the first minima for these different lights on a screen 5 m away.

A prism made of flint glass has a cross section that is an equilateral triangle. The index of refraction for red and violet light respectively in flint glass is 1.662 and 1.698. If as shown in the figure, the angle of incidence in air for both colors of light is 75.1

1. Cite 2 examples of entropy increase in daily life.

2. Find 2 examples of probability governing events in everyday events.

A 0.0210 kg bullet moving horizontally at 500 m/s embeds itself into an initially stationary 0.500 kg block.

(a) What is their velocity just after the collision?
_____ m/s
(b) The bullet-embedded block slides 8.0 m on a horizontal surface with a 0.30 kinetic coefficient of friction. Now what is its velocity?
_____ m/s
(c) The bullet-embedded block now strikes and sticks to a stationary 2.00 kg block. How far does this combination travel before stopping?
____ m