Two manned satellites approaching one another at a relative speed of 0.150 m/s intend to dock. The first has a mass of 4.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.

m/s

A 1.00-cm-high object is placed 3.95 cm to the left of a converging lens of focal length 9.00 cm. A diverging lens of focal length −16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image.

On a frictionless horizontal air table, puck A (with mass 0.245 kg ) is moving toward puck B (with mass 0.373 kg ), which is initially at rest. After the collision, puck A has velocity 0.118 m/s to the left, and puck B has velocity 0.647 m/s to the right.

a. What was the speed vAi of puck A before the collision?

b. Calculate ΔK, the change in the total kinetic energy of the system that occurs during the collision.

A pendulum clock has a heavy bob supported on a very thin steel rod that is 1.00000 m long at 21.0 ∘C.

a)To 6 significant figures, what is the clock's period? Assume that g is 9.80 m/s2 exactly.

b)To 6 significant figures, what is the clock's period if the temperature increases by 13.0 ∘C? Assume that coefficient of linear expansion of steel is 1.20×10−5 K−1 .

c)The clock keeps perfect time at 21.0 ∘C. At 34.0 ∘C after how many hours will the clock be off by 1.00 s ?

A) You are given a dye with an excitation maximum of 358 nm and an emission maximum of 461 nm, and your fluorescence microscope has fluorescence cubes with the filters below. Do you think you will you be able to see any fluorescence from this dye using any of these fluorescence cubes? Explain your answer. B) Does it make a difference if the barrier filter is a band pass versus a long pass? Why?

Filter cube Excitation (exciter) Emission (barrier) Dichromatic Mirror

WU -> MWU2 330-385 420 400

WB -> MWB2 460-490 520 500

WG -> MWG2 510-550 590 700

Consider a cylindrical coaxial cable. The center conductor is solid with radius R, while the outer conductor is hollow with inner radius a and outer radius b, Both conductors have the same total current I (of uniform current density), but moving in the opposite direction of each other. Find the magnitude of the magnetic field as a function of r (where r=0 at the central axis) in the interval a is less than or equal to r is less than b.

Note: your final equation should be in terms of the given parameters (r, a, I, etc.) and any other known constants.

A car collides with a truck. The force exerted by the truck on the car is

A. Starting from the assumption that angular momentum is conserved, prove Kepler's second law, the constancy of areal velocity.

B. Starting from Kepler's first and second laws and Newton's Universal Law of Gravity, prove Kepler's third law (The Harmonic Law).

A combination lock has a 1.3-cm-diameter knob that is part of the dial you turn to unlock the lock. To turn that knob, you grip it between your thumb and forefinger with a force of 4.0 N as you twist your wrist. Suppose the coefficient of static friction between the knob and your fingers is  0.75.

A)What is the most torque you can exert on the knob without having it slip between your fingers?

how is chiropractics related to physics, through formulas and explanation.

Using physics equations, explain why thicker guitar strings make lower notes than thinner guitar strings.

1. Write the standard momentum equation for one train car colliding and hooking with another immobile train car if both cars have a mass of M: What type of collision?

2. If the second car was to jump ahead and the two didn’t connect together what would be the new equation? What type of collision?

C. If the mass of each car is 7000kg and the final velocity of the trains after collision is 2m/s. Then solve the equation described above.

   D. Solve the equation described in part b with the same data as in part C if the mobile train car was moving at 28m/s before collision and continues on after collision at 7m/s. What is the kinetic energy before collision and After collision? Is it conserved?

Renewable sources of energy include photovoltaic, solar thermal electric, wind, geothermal, and hydroelectric. of these five types of energy, which one shows the greatest promise for economic viability over the next 10 years. why do you say this, and what obstacles, if any must be overcome to make this a reality?

what effect will a 0.20 g error (reading is 0.20g lower than the actual value) in reading the amount of Cu in this calorimetry experiment have on determining the specific heat?