PLEASE ANSWER ALL

1) Calculate the force of attraction due to gravity, between the Mars and the Sun .

2) Calculate the escape velocity from the planet Venus using the planets known mass and radius.

3)A satellite needs to be 23,000 ( 1609 meters in 1 mile) miles above Earth’s center to be Geo stationary, what speed must it be moving at?

4) What mass must a star have if it is circled by a planet every 0.61 years at a distance of .72 AU ?

5) Calculate the velocity to be in orbit around Venus , at a distance of 100,000,000 meters from the center of the planet.

a. Consider a laser radar emitting a Gaussian beam of diameter 20 cm with a wavelength of 2.1 μm. At distances of 50, 500, 5000, and 50,000 meters, what is the focused beam diameter, and what is the depth of field? Remember the depth of field is twice the Rayleigh range of the waist diameter. Remember that in some cases the solution may be impossible. Also re- member that there may be two solutions, and it makes sense to pick the one with the smaller beam diameter.

b. In view of your answers, comment on the feasibility of using a focusing to select a range with this laser radar.

List the types of noise and their sources. What are the various ways of enhancing Signal-toNoise ratio?

A small block on a frictionless horizontal surface has a mass of 2.95×10⁻² kg . It is attached to a massless cord passing through a hole in the surface. (See the figure below (Figure 1) .) The block is originally revolving at a distance of 0.295 m from the hole with an angular speed of 1.85 rad/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.140 m . You may treat the block as a particle.

1.What is the new angular speed in rad/s?

2.Find the change in kinetic energy of the block.

3.How much work was done in pulling the cord?

spaceship travels at a speed of 0.95c to the nearest star, Alpha Centauri, 4.3 light years (ly) away. How long does the trip take from the point of view of the passengers on the ship?

A. 1.4 ly

B. 1.0 ly

C. 4.5 ly

D. 14 ly

E. 0.44 ly

Is it possible for an object to have more than one type of charge at the same time?

What is the smallest number of whole logs (density = 695 kg/m³, radius = 0.073 m, length = 2.73 m) that can be used to build a raft that will carry 6 people, each of whom has a mass of 87.5 kg?

I found the value for A which proved to be very simple, however the ones involving density are giving me headaches.

Thanks in advance....

Find the gravitational force that the earth exerts on a 10.0 kg mass if it is placed at the following locations. (a) at the surface of the earth; (b) at the outer surface of the molten outer core; (c) at the surface of the solid inner core; (d) at the center of the earth.

Consult the figure 12.9 in the textbook, and assume a constant density through each of the interior regions (mantle, outer core, inner core), butnot the same density in each of these regions. Use the values given below for average density for each region.

Assume the inner core has outer radius 1.2 × 106m, inner radius zero and density 1.3 × 104kg/m3, the outer core has inner radius 1.2 × 106m, outer radius 3.6 × 106 m and density 1.1 ×104 kg/m3, the total mass of the earth is mE = 5.97 × 1024kg and its radius is RE = 6.38 ×106m.

Two isolated, concentric, conducting spherical shells have radii R₁ = 0.450 m and R₂ = 1.50 m, uniform charges q₁ = +1.70 μC and q₂ = +2.30 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r = 3.40 m, (b) r = 0.840 m, and (c) r = 0.360 m? With V = 0 at infinity, what is V at (d) r = 3.40 m, (e) r = 1.50 m, (f) r = 0.840 m, (g) r = 0.450 m, (h) r = 0.360 m, and (i) r = 0?

Tensors are mathematical objects that are needed in physics to define certain quantities. I have a couple of questions regarding them that need to be clarified:

Are matrices and second rank tensors the same thing?

If the answer to 1 is yes, then can we think of a 3rd rank tensor as an ordered set of numbers in 3D lattice (just in the same way as we can think of a matrix as an ordered set of numbers in 2D lattice)?

Is there a published theory that looks at all matter as occupying no space and only being felt because of its gravitational pull?

We've been taught in school that matter has mass and occupies space. I was just wondering if anyone tried to look at matter as having no physical reality...

In a thermally isolated environment, you add ice at 0°C and steam at 100°C. (a) Determine the amount of steam condensed (in g) AND the final temperature (in °C) when the mass of ice and steam added are respectively 84.0 g and 10.8 g.

(b)

Repeat this calculation, when the mass of ice and steam added are interchanged. (Enter the amount of steam condensed in g and the final temperature in °C.)

Part Q: A block of mass m moving due east at speed v collides with and sticks to a block of mass 2m that is moving at the same speed v but in a direction 45.0∘ north of east. Find the direction in which the two blocks move after the collision.

Express your answer as angle theta in degrees measured north of east.

A nonconducting sphere 1.6 m in diameter with its center on the x axis at x = 4 m carries a uniform volume charge of density ρ = 5.4 µC/m³. Surrounding the sphere is a spherical shell with a diameter of 3.2 m and a uniform surface charge density σ = -2 µC/m². Calculate the magnitude and direction of the electric field at the following locations.

(a) x = 4.7 m, y = 0
N/C î +  N/C ĵ

(b) x = 4 m, y = 1.5 m
N/C î +  N/C ĵ

(c) x = 2.0 m, y = 3.0 m
N/C î +  N/C ĵ