In the figure, a ball of mass m = 56 g is shot with speed v₁ = 23 m/s (in the negative direction of an x axis) into the barrel of a spring gun of mass M = 223 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. (a) What is the speed of the spring gun after the ball stops in the barrel? (b) What fraction of the initial kinetic energy of the ball is stored in the spring? (a) Number i (b) Number Units Units M

Q: Determine the natural frequency in cycles per second for the system shown. Neglect the mass and…

A: Mass of block m=4.9 kg Spring constant k= 195 N/m

Q: Light with a frequenc f glass that has an inde

A: Frequency of light                             f = 5.80 × 1014 Hz The refractive index of glass…

Q: Show your calculations of the speed of sound at room temperature. (If the room temperature is 18 °C)

A: Temprature, T=18°C To determine the speed of sound at this temperature.

Q: In the figure, a light ray in air is incident on a flat layer of material 2 that has an index of…

A: Refractive index of air ( n1 ) = 1 Refractive index of material 2 ( n2 ) = 2.7

Q: A car (m = 1000. kg) is moving uphill at a constant speed. The maximum power output is 140 hp…

A: Write the given values with the suitable variables. m=1000 kgP=140 hp=140×746 W=104440 Wμ=0.6θ=37°…

Q: A person stands on a scale inside an elevator at rest (see the figure below). The scale reads W =…

A: The weight of the person inside the elevator, W = 675 N   The upward acceleration of elevator, a=3…

Q: A hydraulic press has one piston of diameter 6.3 cm and the other piston of diameter 17.7 cm. What…

A:

Q: Find the work done (in ft-lb) when a constant force F = 18 lbmoves a chair from x = 0.9 to x = 1.1…

A:

Q: Electrons and protons are accelerated through a voltage difference (KE) of 109 V. The rest energies…

A: Voltage Difference = V = 109V Rest Energy Of Electron = 0.511 MeV To find the relativistic momentum…

Q: The function y(x, t) = (27.6 cm) сos (лx + 16.7лt), with x in meters and t in seconds, describes a…

A: Function, y(x, t) = (27.6 cm) cos(πx + 16.7πt)

Q: 80. A driver slams on the brakes, leaving 88.0-m-long skid marks on the level road. The coefficient…

A:

Q: 5 which of these is the theoretical mannum number of bright fanges visible in the diffrachon paffer…

A: Wavelength of light, λ=500 nm Separation between slit, d=2.1×10-6 m   To determine maximum number of…

Q: 3- Two thin converging lenses of focal lengths f1 = 10.0 cm and /2 = 5 cm are separated by 10 cm as…

A: focal length of first lens (f1) = 10 cm focal length of second lens (f2) = 5 cm distance between two…

Q: Which of the following is best defines current density?     It is a scalar quantity measuring the…

A: Current Density The amount of electric current flowing per unit cross-section area is called as…

Q: A solenoid is comprised of 1310 turns of wire wrapped along a tube of length 0.26 m. If the strength…

A: No. Of turns (N)=1310 Length (L)=0.26m  Magnetic field (B)= 8.2×10-3 T  Let current flowing through…

Q: t) The system in the Figure is in equilibrium. A mass M₁ = 207.0 kg hangs from the end of a uniform…

A:

Q: A disk having moment of inertia 89 kg · m2 is free to rotate without friction, starting from rest,…

A: Moment of inertia, I = 89 kg · m² Tangential force range from F = 0 to F = 50.0 N Distance ranging…

Q: Three students in lab are trying to predict which of the following objects will reach the bottom of…

A: The height of ramp is h=1.60 m. The radius of each body is r=0.16 m. The mass of each body is m=0.28…

Q: 1 A point charge q₁ = 8.0 nC is at the origin and another point charge q2 = 12.0 nC is on the x-axis…

A:

Q: The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is…

A: Distance of the solar system isR=25,000 ly speed at which the solar system is orbiting is v=230 km/s

Q: The following figure is a snapshot graph at t=0s of a 5.0 Hz wave traveling to the left. a. What is…

A:

Q: Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The…

A: Velocity of first runner, v1=3.45 m/s Velocity of second runner, v2=4.25 m/s Distance between two…

Q: Find the magnitude and direction of the net electric field at point A. The two particles in the…

A:

Q: Identify the best method for finding the electric field strength at the test point, choosing from…

A:

Q: A force of magnitude 5 N acts on an object. A second force of magnitude 7 N acts at 50° to the other…

A: The given vectors are shown below. Here, R is the resultant force.

Q: The mass of an object is 14 kg. If it has a volume of 360 cu.m, what is its Unit weight in N/

A:

Q: 9. A Young's interference experiment is conducted with blue-green argon laser light (A = 515 nm).…

A:

Q: In Fig. P-11-2.5, assume P= 200 lb and the ion is 0.5. Find the acceleration of the body unde

A: According to Newton's second law Net force = mass × acceleration If applied force is less than the…

Q: 3. A flat piece of glass covers the top of a vertical cylinder that is completely filled with water.…

A:

Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.30 cm and 1.00 x 10³…

A: Number of turns ( N ) = 15 Radius of the coil ( r ) = 10 cm = 0.1 m Current ( I ) = 4.00 sin( 120t )…

Q: A 9.1-V battery, a 5.08- resistor, and a 11.0-H inductor are connected in series. After the current…

A:

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 7.51…

A: here, the mass of uniform rod , m1 = 7.51 * 10^6 kg the length of rod , l = 915 m mass of each probe…

Q: two masses are placed on a 2-1 mechanical advantage pulley system. Mass 1 is 5 kg, Mass 2 is 15 kg.…

A: See below

Q: If the rectangle keeps falling, as in there is less of a magnetic field as time goes by, how would…

A:

Q: What minimum magnetic field strength is needed to produce a force of 3.3 N on a current-carrying…

A:

Q: The position of a 1 g object moving in the x direction at 1 cm/s is known to within +/- 10 nm. In…

A: The momentum in the x direction is given by: px = mvx = 0.001 kg x 0.01 m/s = 0.00001 kg m/s

Q: A small spaceship whose mass is 2200 kg (including an astronaut) is drifting in outer space with…

A:

Q: How many beats will be heard if two identical flutes, each 0.66 m long, try to play middle C (262…

A: 0.66 m long one is at 1 degrees other is at  27 degrees frequency = 262 Hz how many beats will be…

Q: A satellite orbits the earth in a circular orbit with constant speed at a distance, d=2200 km above…

A: Height of satellite from the earth's surface, h=2200 km The total mechanical energy of this…

Q: Which quarks are found within a proton?  a u, d, d,  b u, u, d  c u, b, d  d u, t, d

A: The quarks which are found within a proton is discussed below :

Q: Air flows at 210 m/s through the pipe. The temperature is 400 K and the absolute stagnation pressure…

A: Given Data: Stagnation Pressure Pstag=280 kPa=280×103 Pa Temperature T=400 k R=286.9 J/kg.K Velocity…

Q: A glass of water is initially at 30C and is heated to 60C. Solve for the initial, final, and change…

A: Initial temperature=300C Final temperature=600C

Q: An 71 kg baseball player is running to third base moving at 3.3m / s and then begins to slide. The…

A: Mass of baseball player = 71 kg  Initial Velocity  of baseball player U = 3.3 m /s  Friction force…

Q: radioactive

A:

Q: State the general conditions required for two waves to interfere (i) Constructively (ii)…

A: Constructive interference: Two waves will interfere constructively when they meet in phase, which…

Q: A uniform beam of length, L, and mass, M, is freely pivoted at one end about an attachment point in…

A:

Q: The wavelength of the yellow spectral emission line of sodium is 590 nm. What kinetic energy does an…

A: Wavelength of the yellow light is λ = 590 nm

Q: An object with a rest mass of 18633.8 MeV/c2 is moving with a beta of 0.142. What is the…

A: Rest mass m0=18633.8 MeV/c2      β=vc=0.142 Relativistic kinetic energy : (K.E)rel=E-m0c2.....(1)…

Q: A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M₁ =…

A:

Q: A slit 1.00 mm wide is illuminated by a wavelength of 589 nm. We see a diffraction pattern on a…

A: The distance between the first two diffraction minima (m=1 and m=2) on the same side of the central…

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.