2. The theory of relativity is stated as the equation E = mc2 where: E energy m =mass speed of light A scientist has da...
In the theory of relativity a particle of mass m and position moving in R3 is described by the Lagrangian t1 where the speed of light c is a constant and a dot denotes differentiation with respect to time. Compute the equations of motion. Show that, if T is an anti-symmetric matrix, i.e. T =-TT, then verify that it is conserved. Compute the conjugate momentum p and energy E and verify that they are conserved. Show that Evaluate the energy...
In the theory of relativity, the mass m of an object with velocity v is V1- where mo is the mass of the object at rest i.e. with velocity 0) and c is the speed of light. (a) What value for m does this formula give when the object has velocity 0? (b) How many times more massive is an object when moving at half the speed of light than when it is not moving? (c) How fast does an...
Einstein showed that mass (m) and energy (E) are interchangeable: E = mc2 , where c is the speed of light. This implies, for instance, that 1 kilogram of matter is equivalent to an energy E = (1 kg) × (3 × 108 m/s)2 = 9 × 1016 kg m2/s 2 . An energy of 1 kgm2/s 2 is known as 1 joule, for short. The Sun actually does convert mass into energy; it does this by nuclear fusion. During...
In the theory of relativity, the mass of a particle with velocity v ism=mo/(square root ((1- v^ 2)/ c^2))where mo is the mass of the particle at rest and ci s the speed of light. What happens as v goes to c?
Einstein's mass-energy equation is E=mc 2 , where mass is in kilograms and the speed of light is 3.00×108m/s. The unit of energy is the joule (4.184J=1cal;1000cal=1kcal,1J=1kg⋅m2/s2). A. Calculate the energy released, in calories, when 5 g of matter is converted to energy. Express your answer with the appropriate units. B. Calculate the energy released, in kilocalories, when 5 g of matter is converted to energy. Express your answer with the appropriate units. C. A bowl of cornflakes supplies 110...
What is the de Broglie wavelength (in meters) of a neutron traveling at a speed of 0.92 c? Since the neutron's speed is close to the speed of light (c), Special Relativity must be used when calculating the linear momentum (p). The mass of the neutron is 1.675 x 10-27 kg. Suppose that an alpha particle (mαα = 6.646 x 10-27 kg) has a kinetic energy of 75 keV. What is the alpha particle's speed (v) (in terms of "c")?...
A bullet with some mass, m, and initial speed, vi, collides with a wooden block of mass M that is hanging at the end of a light rope. The bullet imbeds itself in the block and the block and bullet swings upwards reaching a maximum height of h above the initial point of the collision. a. A scientist can measure the masses and the height, show that the initial speed can then be calculated from the following equation: vi= (m+M)/m×root...
Problem 3 [35 pts): Potential energy can be expressed using the following equation: E=m*g*h (1) Where: . E is the potential energy, . m is the object mass, . g is the gravitational acceleration, and • his height For the sake of this exercise you can assume that all units match and you don't need any conversions. Your task is to write a Matlab function called calculateEnergies which accepts the following as input parameters/argument (assume all vectors are of the...
1) A square energy pulse traveling to the right with a speed v-2 m/s is given by the equation: f(x,t)-E if Ix-vtl<a f(x,t)-0 if lx-vtla where E is an energy constant and a a length constant. i) Plot this pulse as a funtion of x at t-0. ii) Plot this pulse as a function of x at t-4 s. iii) Expand this pulse as an infinite superposition of harmonic traveling waves of the type cos(ot-kx) where co/k-v. 1) A square...
۱۲:۳۲ 2 4G liu. الملفات 4. An object of mass 2 kg has kinetic energy of 16 J, then the speed of the object is equal? d. 8m/s. a. 9m/s C. 18m/s. b. 10 m/s e. 4m/s 5.A ball is throw up from the ground level with a speed vi 30 m/s, its speed becomes zero at the highest point it reaches h. By the conservation law of energy, calculate the maximum height reached by a ball? a.90 m/s. b.45...