Two cars are on a level air track. They have the same mass as each other. The red car is given a push so that it moves toward the blue car with an initial speed of 2 m/s, while the blue car is given a push so that it moves toward the red car with an initial speed of 4 m/s. If the cars completely stick together, find their combined speed after the collision.

2.

This is an inelastic collision, so some energy must be lost. Find how much, and suggest where it could have gone.

A 63.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m ✕ 2.00 m ✕ 0.0895 m. The bottom 0.023 m of the raft is submerged.

(a) Draw a force diagram of the system consisting of the survivor and raft.

(b) Write Newton's second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0. Solve for Fy, the y-component of the net force. Let upward be the positive y-direction.)

(c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m3. Enter answer to at least the ones digit.)

(d) Using the value of B and the weight w of the survivor, calculate the weight wr of the Styrofoam.

(e) What is the density of the Styrofoam? (f) What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface?

(g) What total mass of survivors can the raft support?

An electron in a TV camera tube is moving at 6.20×106 m/s in a magnetic field of strength 75 mT. Without knowing the direction of the field, what can you say about the greatest and least magnitude of the force acting on the electron due to the field? Maximum force? Minimum force? At one point the acceleration of the electron is 7.767×1016 m/s2. What is the angle between the electron velocity and the magnetic field? (deg)

The water flow rate for a particular sprinkler is 19 gpm. The water must be projected at least 24 feet in radius. The sprinkler is mounted 11 feet above the ground and is aimed at an angle of 26 degrees above the horiztonal. With what velocity must the water leave the sprinkler? What diameter (inches) should the opening be to achieve this velocity?

Water Velocity =_______ ft/s

Diameter Opening = ______ inches

At any one time, the dominant naturally occurring radioisotopes in the human body are 14.0 mg of Potassium-40 (half-life 1.25 X 109 years) and 16.5 ng of Carbon-14 (half-life   5730 years). Calculate the body’s natural radioactivity in becquerels (Bq).

1a. Give 6 examples where Energy is Conserved in an event.
1b. Give 6 examples where Energy is NOT Conserved in an
event.
1c. Give 2 examples of an event where Momentum is NOT
Conserved.

given that a large population which has been living on an isolated is in hardy weinberg equilibrium; what can be said about the relative fitness of the dominant individuals relative to the recessive individuals

an Astronomy question, please answer it comprehensively. Thank you

List (and explain) two reasons astronomers suspect that Dark Matter exists.

Question 1

A 242 g box slides up a 16.1° ramp at a speed of 4.05 m/s. Using conservation of energy and assuming the ramp is frictionless, how far along the ramp does the box slide before stopping?

0.745 m
3.02 m
29.6 m
0.871 m

Question 2

A 10800 kg jet is preparing to land on a military aircraft carrier. In order to do so, the pilot manoeuvres the jet's tail to hook and snag a cable that is attached to a spring with spring constant 71200 N/m. If the spring stretches 33.0 m to stop the jet, what was the jet's landing speed?

218 m/s
14.7 m/s
84.7 m/s
120. m/s

Question 3

You are lawn bowling and bowl a ball with a speed of 5.23 m/s. Unfortunately, your ball hits a large rock of mass 310 g, resulting in a perfectly elastic collision. If the final velocity of the ball after the collision is -2.42 m/s, what must the mass of the ball be?

0.114 kg
0.844 kg
0.424 kg
1.18 kg

The sound intensity is 0.0072 W/m2 at a distance of 20 m from an isotropic point source of sound. (a) What is the power of the source? (b) What is the sound intensity 6.1 m from the source? (c) What is the sound level 20 m from the source?

A photon of wavelength 6.63 pm scatters at an angle of 167 ∘ from an initially stationary, unbound electron. What is the de Broglie wavelength of the electron after the photon has been scattered?

An ideal monatomic gas originally at a pressure of 3x10⁵ Pascals and 75 moles and volume 1.2 m³ & T_i is expanded isothermally to a volume of 3.5 m³ at which point it has pressure P₁. It then experiences an isovolumic process to a lower pressure P₂, T₂. Finally, it is compressed adiabatically back to its original state and returns to its original pressure, temperature, and volume.

Find:

T_i , P₁ , P₂ , T₂

ΔE_{1 of gas}, ΔE_{2 of gas} , ΔE_{3 of gas} , ΔE_{Total of gas}

W_{1by gas}, W_{2 by gas}, W_{3 by gas}, W_{Total by gas}

Q_{1 into gas}, Q_{2 into gas}, Q_{3 into gas}, Q_{Total into gas}

_{Answers should be:}

Ti = 577.62 Kelvin, P1 = 102,857.14 Pascals, P2 = 50,206.54 Pascals, T2 = 281.95 Kelvin

ΔE1 of gas = 0 Joules, ΔE2 of gas = -276.41 kJoules, ΔE3 of gas = 276.41 kJoules, ΔETot of gas = 0 Joules

W1 by gas = 385.36 kJoules, W2 by gas = 0 Joules, W3 by gas = -276.41 kJoules, WTot by gas = 108.95 kJoules

Q1 into gas = 385.36 kJoules, Q2 into gas = -276.41 kJoules, Q3 into gas = 0 Joules, QTot into gas = 108.95 kJoules

A cockroach of mass m lies on the rim of a uniform disk of mass 4.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.230 rad/s. Then the cockroach walks half way to the center of the disk.

What then is the angular velocity of the cockroach-disk system? What is the ratio K/K₀ of the new kinetic energy of the system to its initial kinetic energy? What accounts for the change in the kinetic energy?

How to combine the point-particle and real system/extended system analyses of a system to compute changes in the system’s internal energy?