For the frame shown, Determine the magnitude of the pin reaction at A given that P = 30 KN; a = 1.4 m and b 4.2 m. a A b b Select one: O A. RA = 0.00i + 0.00j KN O B. RA = -18.00i + 6.00j KN OC. RA = 30.00i + 30.00j KN %3D OD. RA = 15.00i - 15.00j KN %3D
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- 2. The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = J F dx. Writing Newton's second law as F = dp/dt, show that W = Jv dp and integrate by parts using the relativistic momentum to obtain mc2 mc K = VI - v/c² |1. You and your lab partner are making measurements on particle decay in the lab. You make the following measurements on particle A: m₁ = 498 MeV/c² and ₁ = 0.462c î. You observe VA particle A decay to particles B and C. Your lab partner makes the following measurements: MB = mc = = 140 MeV/c² and ✓ = −0.591c î. (a) Calculate the total energy for each particle. (b) Find the velocity (magnitude and direction) of particle C. (c) Spock is in a ship moving with VB a velocity of vs = 0.635c î observing the same particle decay. What values does he measure for the velocities of particle B and particle C?2. Twin sisters, Anna and Zelma, are twenty years old. Anna stays on the Earth while Zelma gets on a 20.0-meter-long spaceship that travels at constant speed 0.98c to a distant star. The star is 9.00 lightyears away as measured by Anna. Zelma immediately turns around and travels back to the Earth at the same speed of 0.98c. a) What length does Anna measure for the spaceship while it is moving? b) Upon Zelma's return, which twin is seen to be older now on Earth and what is the age difference?
- What is the momentum of the alpha particle that is moving at 0.5c. with mass equal to 7.0*10-27 kg.1. If the velocity of your spaceship goes from 0.3c to 0.6c, then your mass will increase bya. 19%b. 38%c. 74%d. 100%e. 200%A recent home energy bill indicates that a household used 395 kWh (kilowatt-hour) of electrical energy and 175 therms for gas heating and cooking in a period of 1 month. Given that 1.00 therm is equal to 29.3 kWh, how many milligrams of mass would need to be converted directly to energy each month to meet the energy needs for the home? mass needed: mg
- 9. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 5.50 relativistic momentum? t kg.m/s 60 ssf60 s ssf60 ssfot 09588 098 10-11 J. What is their ssf60 ssfo 0934. In a colliding beam apparatus, two beams of protons are aimed at each other. The first proton moves with a speed of 0.70c to the right; the second moves with a speed of 0.90c to the left. Both speeds are measured relative to the laboratory frame of reference. What is the speed of the second proton relative to that of the first? oofl1. axextes A particle interacts with other particles in a uniform density medium and executes a random walk. If the particle takes an average time t to travel a distance L away from its starting point, about how long on average does the particle take to travel a distance 2L away from its starting point? A. 0.5t B. t C. 1.4 t D. 2 t E. 4t
- A Carbon-14 nucleus is initially at rest but emits two particles of radiation; one with momentum 5.8x10-21kgm/s[E], and another with momentum 4.5x10-21kgm/s[S]. If the residual Carbon-14 mass is 2.3x10-26kg; a. Determine the residual Carbon 14 momentum magnitude b. Determine the residual Carbon 14 momentum direction c. determine the residual Carbon 14 velocity.I Review I Constants I Periodic Table The position of a 55 g oscillating mass is given by T (t) = (1.7 cm) cos 13t, where t is in Part C seconds. Determine the spring constant. Express your answer in newtons per meter. Hνα ΑΣφ ? k = N/m Submit Request Answer Part D Determine the maximum speed. Express your answer in meters per second. Iνα ΑΣφ Umax = m/s Submit Request Answer1. Based on the problem below, if a crew member on the spaceship measures itslength to be 400 m, what is the length measured by an observer on earth? a. 34.2 mb. 44.1 mc. 56.4 md. 78.2 m 2. Based on the problem below, how far does the ship travel in relation to theearth during each pulse? a. 1.35 kmb. 4.21 kmc. 83.8 kmd. 94.5 km