A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1.2 m/s2 for 4.3 seconds. It then continues at a constant speed for 11.2 seconds, before getting tired and slowing down with constant acceleration coming to rest 84 meters from where it started. The tortoise accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop. How fast is the hare going 1.7 seconds after it starts? How fast is the hare going 9.6 seconds after it starts? How far does the hare travel before it begins to slow down? What is the acceleration of the hare once it begins to slow down? What is the total time the hare is moving? What is the acceleration of the tortoise?

A block is attached to the top of a spring that stands vertically on a table. The spring stiffness is 49 N/m, its relaxed length is 27 cm, and the mass of the block is 300 g. The block is oscillating up and down as the spring stretches and compresses. At a particular time you observe that the velocity of the block is <0, 0.0877, 0> m/s and the position of the block is <0, 0.0798, 0> m relative to an origin at the base of the spring. Using a time step of 0.1 s, determine the position of the block 0.2 s later. The correct answer is .373651. How was this answer found?

5) Two particles are placed on the y-axis. Particle 1, with a charge of -2 C, is placed at (0,0) and particle 2, which has a charge of 8 C, is placed at (0, 12). The two particles are 12 m apart.

(a) Draw a diagram of the scenario above. Draw the electric field lines of each particle, as if the other particle was not present.

(b) Using the two sets of electric field lines above, draw the net electric field lines for the two particles below.

(c) Which of the following regions cannot have a location where the net field is 0 N/C? (Yes, this is a multiple choice question, but you must select all choices that apply and give a reason why those choice(s) would answer the given question.) (i) Region below of particle 1 (ii) Region between particle 1 and 2 (iii) Region above of particle 2

(d) By now you should have one region remaining that can have a location where the net field is 0 N/C. Determine the coordinate of this location.

A 0.300 kg mass is connected to a horizontal spring, with simple friction between the mass and the surface having a coefficient of µk = 0.0800. The force constant of the spring is k = 50.0 N/m. What distance would the mass travel if it were released 0.150 m from equilibrium with zero initial velocity?
__________m

An automobile has a vertical antenna 1.40 m long. The automobile travels eastward at 65 km/h on a horizontal road where the Earth's magnetic field is 50.2

A 1450 kg cannon, which fires a 80 kg shell with a speed of 526 m/s relative to the muzzle, is set at an elevation angle of 39° above the horizontal. The cannon is mounted on frictionless rails, so that it recoils freely. What is the speed of the shell with respect to the Earth? At what angle with the ground is the shell projected?

Calculate the translational kinetic energy of Earth as it orbits the Sun once each year (the Earth

You are holding a shopping basket at the grocery store with two 0.68-kg cartons of cereal at the left end of the basket. The basket is 0.65m long.

Part A

Where should you place a 1.8-kg half gallon of milk, relative to the left end of the basket, so that the center of mass of your groceries is at the center of the basket?

Express your answer using two significant figures.

1)An outdoor circular fish pond has a diameter of 4.00 m and a uniform full depth of 1.40m . A fish halfway down in the pond and 0.70m from the near side can just see the full height of a 1.80m tall person.How far away from the edge of the pond is the person?

2)Two people stand 5.2m apart and 3.1m away from a large plane mirror in a dark room. At what angle of incidence should one of them shine a flashlight on the mirror so that the reflected beam directly strikes the other person?

3)A beam of light is incident on a plane mirror at an angle of 41? relative to the normal.What is the angle between the reflected ray and the surface of the mirror?

I would like to have the best explanation. I will appreciate all your hard work.

22. At what temperature do the atoms of argon (Ar) gas have the same rms speed as the molecules of oxygen (O2) gas at 25°C? The molar mass of oxygen is 15.9994 g/mol, and the molar mass of argon is 39.948 g/mol. ANSWER: 99ºC

29 A stone is dropped into a well. The sound of the splash is heard 3.5 s later. What is the depth of the well? Take the speed of sound in air to be 343 m/s. ANSWER h = 54.8m

Astronauts often see flashes when they are in space. How often these particles make their ways down to the Earth and hit us? What's the chance they hit our eyes and see flashes?

A hydrogen atom, initially at rest, absorbs an ultraviolet photon with a wavelength of λ=177.9nm.

Part A:

What is the atom's final speed if it now emits an identical photon in a direction that is perpendicular to the direction of motion of the original photon?

Express your answer to three significant figures and include appropriate units.

Part B:

What is the atom's final speed if it now emits an identical photon in a direction that is opposite to the direction of motion of the original photon?

Express your answer to three significant figures and include appropriate units.

A boy on a bicycle moving with 10 m/s approaches a moving car with 5 m/s (both are moving in the same direction) as he sounds his horn at frequency 400.00 Hz. The sounds he hears reflected back from the car. Assume speed of sound is 340 m/s. Calculate the frequency the boy perceives.

What would be the answer plus a step by step guide on how you managed this problem?

Thank you.

1)

The suspension system of a 1800 kg automobile "sags" 9.6 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 46% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 450 kg.

2)

The function
x = (1.5 m) cos[(5πrad/s)t + π/4 rad]
gives the simple harmonic motion of a body. At t = 4.6 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?