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One of Einstein's contributions to the field of mechanics was toshow that the total energy of a particle is given by the equationE =m0c2q1 -v2c2where c is the speed of light, v is the speed of the particle, and m0 is the restmass of the particle (the normal mass when it is not moving). Clearly the "restmass energy" is when v = 0 and then we have the familiar E = m0c2.Since this is the total energy, it should also be equal to the sum of the"rest mass energy" and kinetic energy K combined, since these are the only twosources of energy here.E = m0c2 + KGiven that these two equations are equal, what is the velocity of an electronwith a kinetic energy of K = 50 keV? What fraction of the speed of light isthis? The rest mass of the electron is m0 = 9.11 × 10-31 kg, and the speed oflight is c = 3 × 108 m/s.Hint: It may be easier to pre-calculate m0c2in terms of eV first, and treat that as a combined unit in the algebra.
Calculate the mass of a solid gold rectangular bar with dimensions 3.50 cm x 14.0 cm x 27.0 cm. Density of gold is 1.93E4 kg/m^3
A 5.05-kg ball of clay is thrown downward from a height of 2.77 m with a speed of 4.61 m/s onto a spring with k = 1730 N/m. Find the total work done on the clay during the spring's compression
A 0.35 mass is attached to a spring with a force constant of 26 and released from rest a distance of 3.9 from the equilibrium position of the spring. What is the maximum speed of the mass
A coil has resistance R=8Ohms and inductance L=5milliHenries and is powered by a generator with variable frequency and maximum voltage V = 10Volts.
In one such decay, the electron and the neutrino are emitted at right angles to each other. The electron(mass 9.11 x 10^-31kg) has a speed of 5.00×10^7m/s and the neutrino has a momentum of 8.10×10^-24kg m/s. What is the recoil speed of the nucleu..
An air bubble ascends from the bottom of a lake 9.4 m deep. The temperature at the bottom of the lake is 3degrees C, How many times larger in volume is the bubble at the top of the lake compared with its volume at the bottom
Figure (8-E7) shows a spring fixed at the bottom end of an incline of inclination 37°. A small block of mass 2 kg starts slipping down the incline from a point 4"8 m away from the spring.
As shown in the figure, the angle between two plane mirrors (M1 and M2) is 125o. If the incident ray strikes mirror M1 with an angle of incidence θ1i = 66o, determine the angle of reflection θ2r for mirror M2.
Utilize the result of the previous water and the date in Figure 5.11 to plot a graph of the vapor pressure of water among 50 C and 100 C. How well can you match the data at the two end points?
A rocket is launched from a 350 m high cliff at an angle of 25? with an initial velocity of 50 m/s. The rocket engine produces a constant horizontal acceleration of 5 m/s2. (g=9.8m/s2). Begin by drawing a diagram and determine:
Calculate the magnitude, the direction of resultant force and the coefficient of kinetic friction.
A car of mass 1430 kg drives in a direction 80o north of east at a latitude 73o in the northern hemisphere with a speed 85.0 km/hr
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