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- A particle of mass 5 kg, moving at a speed of 20 m/sec, the amount of momentum the particle has is:The special theory of relativity predicts that there is an upper limit to the speed of a particle. It therefore follows that there is also an upper limit on the following properties of a particle: Select one alternative: the kinetic energy the total energy the linear momentum more than one of these none of theseWhen an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by 1/2mv^2. Use the work-energy theorem to find the distance over which the force acts. Express your answer in terms of the variables m, v, and F.
- 2) In class, we learned the 1st law as AU = Q – W. Use this statement of the 1st law to show (mathematically) its equivalent statement: "Total energy of the universe is constant". Here, the universe can be defined as: system + surroundings (everything but the system – everything outside the system). Hint: this can be shown by two ways - you may either treat system and surroundings as two systems next to each other, or you may treat system + surroundings (universe) as one system.Consider these 4 Particles: Particle. Rest energy. Total energy 1 A A 2 B 2B 3 2C 4C 4 3D 5D Rank in order, from largest to smallest, the particles’ speed u1 to u4 Order: Explanation:An older-model car accelerates from 0 to speed vin 15 s. A newer, more powerful sports car of the same mass accelerates from 0 to 3v in the same time period. Assuming the energy coming from the engine appears only as kinetic energy of the cars, compare the power of the two cars.
- True or False (Explain if False) 1. A car halted in an open road in 1974. A backdoor then opened and a man threw a dead political prisoner in down a hill by the road. The dead body has the greatest energy just before it slides down the hill. 2. Elon Bezos launches two satellites of the same mass to orbit the Earth circularly on the same radius. The two satellites have different but proportional speeds. 3. Dumbledore falls from the Tower upon being cursed with Avada Kedavra. Neglecting air resistance, Dumbledore's kinetic energy increases as he falls into the Hogwarts' courtyard. 4. Joseph Musk launches two satellites of different masses to orbit the Earth circularly on the same radius. The two satellites have different but proportional speeds. 5. NASA astronauts, Kjell Lindgren, Pilot Bob Hines, Jessica Watkins, and Samantha Cristoforetti, are currently in the International Space Station, and experience apparent weightlessness because they and the station are always in free fall…Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 57.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.50 mm away from the Earth? The density of water is Pwater = 1.00kg/liter, the Earth's mass is Mearth 5.97 x 1024 kg, the Moon's mass is М, = 7.36 x 1022 kg, and the separation of the Earth and Moon is de.M 3.84 x 10° m. moon water: LitersH2. Suppose a particle of constant mass m with position x > 0, moves in one space dimension under the influence of the gravitational force of another point particle of constant mass M sitting at x = 0, i.e. the attracting force is F: (a) Using Newton's second law, show that d -mx². dt GmM x² i. GmM X = 0. dv dv (i.e., the total energy, sum of kinetic and potential energy, is conserved). (b) Using the change of variables var dr, solve the equation of motion and determine the = dx velocity of the particle v(x) as a function of x assuming it starts with zero velocity at xo. Does the particle's speed in x O depend on the initial position? dt' =
- As the kinetic energy of the particles increased, the _____ of the particles ________ a. speed; decreased b. speed: increased c. space; decreased d. space; increasedbosses move on a circular orbit with an environment speed of 0.7 c according to the laboratory system. Calculate the relative velocities of the bosses when they are at opposite points euphicallymuly 202 An open system is one in which.. O Mass does not cross boundaries of the system, though energy may do so . Neither mass nor energy crosses the boundaries of the system O Mass crosses the boundary but not the energy Both energy and mass cross the boundaries of the system