Using the rotation curve above, fill in the rotational velocity for each indicated radius. Then, use this equation to calculate gravitational mass (in solar masses) at each radius. M = R where G = 4.31. 10-6 kpc km² Mos² Your values for M should be quite large, since we are talking about the mass of a galaxy! So, please express these large numbers in scientific notation. A Radius (kpc) 2 + 6 8 10 B Rotational Velocity (km/s) C Gravitational Mass (Mo) Sanity check: The mass should increase with larger radii, since you are calculating the total mass enclosed within each widening orbit.

Q: 1. A rectangular loop of wire of length L = 8.0 cm and width s = 3.0 cm lies near a very long wire…

A: As per company policy, we are restricted to solve one question at a time. Please ask other question…

Q: What is the highest and the lowest total resistance that can be secured by combinations of four…

A:

Q: A laser resonator consisting of two mirrors with reflectivity R1=1 and R2=D0.95 respectively,…

A: Given: R1 =1 R2 = 0.95  effective medium length = 0.1 m spontaneous emission lifetime 10-6 sec  A…

Q: A 45.0 kg skater is skating down a hill on roller blades at à špêed of m/s. What is the kinetic…

A: Given data : Speed=V Mass=m   To find : Kinetic energy of skater

Q: A 0.7-F capacitor is connected in series with a 9-ohm resistor. If the connection is energized from…

A: Given that,capacitor : C = 0.7 (F)Resistor : R = 9 OhmDC Voltage : V = 11 (V)Here we need to find…

Q: If Seneca decides to walk across town to a store that is 85 kilometers away and she has only 30…

A: Given data :             Distance = d              Time  = t       To find  :               Speed

Q: At 25°C, the mass density of water is 0.997g/mL, while the surface tension is 71.99 mN/m. Estimate…

A: Given data, Temperature of water = 25oC Mass density of water = 0.997 g/ml Surface tension = 71.99…

Q: 5) A roller coaster at the top of the first hill has 1000J of potential energy and 50J of kinetic…

A: To solve the roller coaster problem one needs to apply the law of conservation of energy, here…

Q: Two blocks of mass 5 kg are connected by a rope which passes over a frictionless pulley mounted at…

A:

Q: Q1. A force of 7N as on an object. The displacement is, say 8 m, in the direction of the force. Let…

A: Work done on an object is given by the formula, Work done = (Force)(Displacement), where the…

Q: 9. The system can be considered 1 because The statement above is best completed by the answers in…

A:

Q: 1. Image that two particles, a proton and an electron, are confined to move on circular rings of…

A: Here by conservation of angular momentum we have L=Iw where I is the moment of inertia and w is the…

Q: (255) A flat circular, steel loop of radius 0.5 m is at rest in a uniform magnetic field at an angle…

A: Given, Radius of the circular loop, r=0.5 m The magnetic field,

Q: For the figure shown, calculate the x-component of the centroid (x). (0,6) y=6-x (4,2) (0,0) (4,0)

A: take an element of thickness dx at a distance x from origin  Now, mass of element (dm)= kydx =…

Q: 4. Describe how momentum of each bumper car is Changed, and why is it so? Which one gains and whic…

A:

Q: A 18 cm disk in radius is originally rotating at wo = 11 rad/s. If it is subjected to a constant…

A: Given that,The radius : r = 18 (cm) = 0.18 (m)Angular speed : ω0 = 11 (rad/sec)Angular acceleration:…

Q: A solid cylinder of mass 4.9 kg and radius 4.8 cm rolls down an inclined plane of height 7.4 cm…

A: Speed of the center of mass. From conservation of energy

Q: In an RC series circuit, emf = 12.0 V, resistance R= 1.21 MO, and capacitance C= 1.87 µF. Find the…

A: The maximum charge that will appear on the capacitor during charging. Given, emfε=12.0…

Q: If you want to build an RLC circuit exhibiting critical damping behav- ior with a capacitor that has…

A: Write the given data. C=25×10-6 FL=18×10-3 HR=17 Ohm

Q: the sum is

A: Given: 2.0347 is added to 15.7,  Then the sum is?

Q: 12. A net force of 15 newtons acts on a 5kg mass for 10 seconds. What is the magnitude of the change…

A:

Q: 59. A cart is uniformly accelerating from rest. The net force acting on the cart is (1) decreasing…

A: 59) Given statement : a cart is uniformly accelerating from rest

Q: total magnification of this lens syStatement is;

A: Given: An extended object is placed at point  O,  10 cm in front of a convex lens L1 and a concave…

Q: Problem 3 (a) Calculate the value of the first integral below for a 2p, orbital for a hydrogen atom…

A: The radial part of the wave function i.e. R(r) of the electron in 2px orbital of the hydrogen atom…

Q: .. A pair of bullocks exerts a force of 140 N on a plough. The field being ploughed is 15 m long.…

A: Work done, W = F.d

Q: 5. A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is…

A:

Q: As indicated in the diagram below, a physicist sets up an experiment to determine the mass of a…

A:

Q: A 26kg red curling stone sliding at 0.81m/s hits a 20kg blue curling stone which is sitting still.…

A: Given that,Mass of red curling stone : mr = 26 (kg)Mass of blue curling stone : mb = 20 (kg)Speed of…

Q: A small object of mass m slides along the frictionless track in the figure, staring from rest at…

A:

Q: Calculate the currents Given: E = 5 V, J = 1 A, R1 = 2 N, R2 = 10 UN 0 IN 2 3 4 5 V 1 2 4 7 A

A:

Q: A flat coil enclosing an area of 0.19 m2 is rotating at 55 rev/s, with its axis of rotation…

A: Given that,Area = 0.19 (m2)The speed of coil : v = 55 9rev/sec)magnetic field : B = 0.17 (T)Number…

Q: If I throw a baseball into the air, at which point is the vertical velocity = C %3D a at the…

A:

Q: 2. Find the electric field on the axis of a thin, uniformly charged disk of radius a and total…

A:

Q: It takes a 1200 kg racing car 18.4 s to travel at a uniform speed around a circular racetrack of…

A: The speed of the racing car travel uniformly around a circular track is, v=2πrT=23.1468 m18.4 s=23.2…

Q: Mk=0.7. 10 kg TIR A 10-kg box is at sliding to the right on the floor. A rope is attached to the box…

A: mass of box = m = 10 kg co efficient of friction = 0.7 acceleration = a = 6 m/s2

Q: 1. Four students are trying to move a table from one corner of the classroom to another, as…

A: Given Data: Let us consider the given forces acting on rectangular table. We are to find resultant…

Q: Problem 2: A 50 gram ball 1s thrown against a wall at 5 m/s. A The ball hits the wall and then…

A: Consider the ball is thrown to the right (positive) or moving towards is positive  and rebounds to…

Q: Consider the finite difference grid shown in the figure below that is expressed in the polar…

A: Concept used: Polar co-ordinates specify location in angular motions.

Q: Problem 1 A rock is thrown straight upward at 9 m/s just over the side of a raised deck, 5.5 m above…

A: Initial velocity of the rock, Height from which the rock was thrown,

Q: Determine the distance covered by a body in 4 s if it initial velocity is 20 m/s and the…

A: Given data The time interval is given as t = 4 s. The initial velocity of the body is given as u =…

Q: Determine the current in each resistor of the circuit shown in Fig. 26–9015. Figure 26-90 12.00 V ——…

A:

Q: Q3:- The car has an initial speed vo = 20 m/s. If it increases its speed along the circular track at…

A:

Q: What is AG° for freezing 30 g of water at 5°C? The enthalpy of fusion for water is 333.55 J/g.…

A:

Q: A charge q = 2.3 µC is placed at the point P shown below. What is the force on q (in N)? (Assume the…

A: Given that,Charge q1 = 1.7 (μC)Charge q2 = -3.7 (μC)Charge q = 2.3 (μC)Distance between charge q1…

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.