A 2500-kg rocket blasts off from Planet A headed directly towards Planet B. The masses of Planet A and B are 6x1024 kg and 3x1025 kg respectively and the distance between the planets is 4x108 m. How far from Planet A will the rocket have traveled when the net gravitational force on the rocket from the two planets is zero?

For Astronomy class, please answer this question clearly, thank you.

Describe the similarities and the differences between the mechanisms by which Terrestrial and Jovian planets generate their magnetic fields.

A uniformly charged disk of radius 35.0 cm carries a charge density of 6.40 ✕ 10^-3 C/m². Calculate the electric field on the axis of the disk at the following distances from the center of the disk.

(a) 5.00 cm
MN/C

(b) 10.0 cm
MN/C

(c) 50.0 cm
MN/C

(d) 200 cm
MN/C

An engine that operates by means of an ideal diatomic ideal gas in a piston with 2.70 moles of gas. The gas starts at point A with 3x103 Pa of pressure and 2.5x10-2 m3. To get from B from A, it is expanded by an isobaric process to double the initial volume. From B to C it expands adiabatically until it reaches three times the volume in A. From C to D the pressure decreases without changing the volume and from D to A it is an isothermal compression. a) Draw the PV diagram of the process and determine the pressure and volume at each vertex. Calculate: b) full cycle work. C) The heat transferred in each process. D) The real efficiency and efficiency of carnot. D) The change of entropy in each process.

Forgive me, I'm a little bit vague on the detail.

If the projectile rebounds upon impact instead of sticking to the pendulum, how would the vertical rise of the pendulum compare to the value obtained when the two move together? Give an explanation.

Describe in detail, with sketches as appropriate, the requirements for a setup of a mechanical experiment that allows to measure the weight of individual atoms. Provide details of a sensor (eg. scale, mass), the sensor actuation and the sensor read-out (eg. experimental noise, physical principle). How do you prove that the measured atomic mass stems specifically from the atoms you analyse? (Consider environmental sources of measurement noise)

This question featured in an Oscillations section of a past exam paper. Any help greatly appreciated! Thanks.

Thermodynamics and Statistical Mechanics problem:

(a) Derive the Maxwell speed distributions in one and two dimensions.

(b) What is most likely speed in each case?

(c) What is average speed in each case?

(d) What is root-mean-square speed in each case?

. Two-point charges are brought 0.01 m from each other. One has a charge of 10.0 nC, the other has a charge of -10.0 nC. What is the magnitude of the electrostatic force between them? Will they attract or repel each other? k = 9.0 x 109 N m2/C2

I keep getting a negative answer and it should be positive?

A person standing far away walks toward a plane mirror at a speed v, and the speed of the image is 2v relative to the person. Please compute the speed of the image relative to the person if the plane mirror is replaced by (a), a convex spherical mirror? (b), a concave spherical mirror?

Friction Experiment

Procedure:

1. On the pulley place 50 grams weight on the block which is 0.05kg
2. Attach the wood block using a string and hanger
3. Place the hanger on the other side of the pulley

Use additional weight and put them on the hanger in order to achieve a constant velocity

Data A:

Procedure:

1. Place 50 grams on top of the wood block and 50 grams on the hanger and observe acceleration. Use additional weight if necessary
2. Record the time for the motion
3. Calculate experimental acceleration
4. Calculate theoretical acceleration
5. Compare using percent error formula
6. Repeat one more time

Formulas A:

• M1= Mw+n*50 (n is an integer, start with n=1, go to n=4)
• N=M1 g
• Fnet= M2 g
• Mu= Fnet/N

Data B:

Formulas B:

• A(experiment)= 2d/t^2
• Average mu= 0.25 --> mu=0.25 for equation below
• A(theory)= (M2 g- mu M1 g)/(M1+M2)

Question: I'm looking for the formulas worked out for both data tables

ex: plugging in what numbers into what equation to get answers from both data tables?

A rocket ship is launched from rest from a space station. Its destinations 1.0 x 10^11 m away. The ship is programmed to accelerate at 7.4 m/s^2 for 12 hours. After 12 hours, the ship will travel at constant velocity until it comes within 1.0 x 10^10 m of its destination. Then, it will fire its retrorockets to land safely.

Event 1: t= , r= , v= ,

Event 2: t= , r= , v= ,

Event 3: t= , r= , v= ,

Event 4: t= , r= , v= ,

a(12)= , a(23)= , a(34)=

Mathematical Analysis?

A compost barrel can be considered as a solid cylinder of mass 50.0 kg and radius of r = 30.0 cm, and a length of 0.900 m. It can be turned about the long axis by applying a force to a handle located d = 20.0 cm from the axis of the cylinder. The compost barrel needs to be turned through 250 complete revolutions. Assume you can apply a constant force of F = 10.0 N (always perpendicular to the radius as the handle goes around in a circle).
What is the angular acceleration of the barrel?
How much time does it take to turn the barrel through 250 rev?
What is the angular velocity of the barrel at the end of that time? Is this reasonable?

An electron is confined inside a quantum dot, which for this question can be approximated as a one-dimensional quantum box with rigid walls. The ground state has an energy of 0.042 eV.

1. (a) In your own words, explain why the energy of the ground state of the system is larger than zero.

2. (b) Calculate the length of the quantum dot.

3. (c) What wavelength of photon is needed to cause a transition to the next excited state?

4. (d) Is the wavelength of 2.958 μm observed in the spectrum of the quantum dot? Explain your answer.

HI please answer these questions with clean handwriting.

• 1)What property of the spherical curve allows the vertex of positive and negative mirrors to be determined in the same way?

​

• 2)What is an easy way to align the spherical mirror so that its center of curvature is on the optical axis (i.e., the centerline of the pinhole autocollimator beam)? Why is this a critical alignment?

In [ ]:

​

• 3)What happens in the autocollimation measurement if the mirror's spherical center is slightly higher that the optical axis?

In [ ]:

​

• 4) When measuring a concave mirror, what is a good choice for the focal length of the lens?

Lauren has a bow that can shoot arrows at speeds of 0.3c. She is travelling across the Great Sandy Desert to her next archery competition on an ultrafast train that moves at a speed of 0.5c. She has set up to practise on the train with a target that is 150 m away from her in the same direction that the train is travelling.

Greg is standing on a platform as the train travels by.

1. (a) What is the time between the events “Lauren shoots arrow” and “arrow hits target” for Lauren?

2. (b) How far is Lauren from the target as measured by Greg?

3. (c) When Lauren shoots an arrow, what is its speed as measured by Greg?

4. (d) Do either Greg or Lauren measure the proper time between the events described in (a)? Explain your answer.

5. (e) How long does it take for the arrow to reach the target as measured by Greg?