The temperature of 1 m3 of water is decreased by 10C. If this thermal energy is used to lift the water vertically against gravity, what is the change in height of the center of mass?

Problem 1: The figure shows a gas contained in a vertical piston- cylinder assembly. A vertical shaft whose cross-sectional area is 0.8 cm² is attached to the top of the piston. The total mass of the piston and shaft is 25 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.1 kJ, the potential energy of the piston-shaft combination increases by 0.2 kJ, and a force of 1334 N is exerted on the shaft as shown in the figure. The piston and cylinder are poor conductors, and friction between them is negligible. The local atmospheric pressure is 1 bar and g=9.81 m/s². Determine, (a) the work done by the shaft, (b) the work done in displacing the atmosphere, and (c) the heat transfer to the gas, all in kJ. F = 1334 N -A=0.8 cm² Patm = 1 bar Gas -D = 10 cm

Two particles each have a mass of 6.1 x 10-2 kg. One has a charge of +5.0 x 106 C, and the other has a charge of -5.0 x 10-6 C. They are initially held at rest at a distance of 1.1 m apart. Both are then released and accelerate toward each other. How fast is each particle moving when the separation between them is one-third its initial value? Number i Units B 91 91 92 92 A

Solve the given

A small particle has charge -4.30 μC and mass 2.00×10-4 kg. It moves from point A, where the electric potential is VA = 260 V, to point B, where the electric potential VB = 960 V is greater than the potential at point A. The electric force is the only force acting on the particle. The particle has a speed of 4.60 m/s at point A. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Electric force and electric potential. - Part A What is its speed at point B? Express your answer in meters per second. ΜΕ ΑΣΦ v = Submit Request Answer Part B Is it moving faster or slower at B than at A? Faster Slower Submit Request Answer ? m/s

Calculate the mass of a car that drives at 25.5 m/s and has 400000J of energy. a. 1230.3 kg b. 1551.32 kg c. 788.76 kg d. 1361.55 kg e. None of these

(10%) A system consists of two particles of rest masses of m₁ = 15 kg, ma = 19 kg. They are moving at the speeds of u₁ = 0.5c, uB = 0.8 relative to the laboratory (see the drawing). a=35°. What is the energy and momentum of B measured by A? Express the momentum in terms of its x and y components, and its magnitude and angle to the +x axis. ЦА UB cf, where c = 3 × 108 m/s is the speed of light in vacuum

As shown in the figure below, two reversible cycles arranged in series each produce the same net work, Wcycle. The first cycle receives energy QH by heat transfer from a hot reservoir at TH= 1000°R and rejects energy Q by heat transfer to a reservoir at an intermediate temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and rejects energy Qc by heat transfer to a reservoir at Tc = 400°R. All energy transfers are positive in the directions of the arrows. Part A T = "RI = "R2 = i i Hot reservoir at T °R Reservoir at T % in Determine: (a) the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles. (b) the thermal efficiency of a single reversible power cycle operating between hot and cold reservoirs at 1000°R and 400°R, respectively. Also, determine the ratio of the net work developed by the single cycle to the network developed by each of the two cycles, Wcycle- R1 i im in z Determine the…

A tank contains Carbon tetrachloride which has a mass of 636 g and a total volume of 0.0011 m^3. Determine its unit weight (in kN/m^3).