Two forces lying in the x-y plane are defined by their magnitudes and direction angles, as shown in the figure below. Force ₁ has a magnitude F₁ = 460 N, an angle 0₁ = 164°, and acts at point A = (465,0) mm. Force F2 has a magnitude F₂ = 550 N, an F2 angle 02 = 20°, and acts at point B = (0, 135) mm. Determine the total moment about point O due to these two forces. Remember to follow the standard sign convention for clockwise (-) and counter-clockwise (+) moments. y B O 0₂ F₂ F₁ A 0₁ X

Determining the precise mass of the deuteron A proton (1.6726 x 10-27 kg) and a neutron (1.6749 x 10-27 kg) at rest combine to form a deuteron, the nucleus of deuterium or "heavy hydrogen." In this process, a gamma ray (high-energy photon) is emitted, and its energy is measured to be 2.2 MeV (2.2 x 106 eV). Part 1 (a) Keeping all five significant figures, what is the mass of the deuteron? Assume that you can neglect the small kinetic energy of the recoiling deuteron. kg Save for Later Part 2 Attempts: 0 of 10 used Submit Answer (b) Momentum must be conserved, so the deuteron must recoil with momentum equal and opposite to the momentum of the gamma ray. Calculate approximately the kinetic energy of the recoiling deuteron and show that it is indeed small compared to the energy of the gamma ray. eV

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