Asimple harmonic oscillator consists of a spring of constant k = 100 n/m and a block of mass 2.0 kg. when t = 1.0 s, the position and velocity of the block are x = 0.129 m and v = 3.415 m/s. (a) findthe amplitude of the oscillations? (b) determinethe location (x) of the block at t = 0? (c) what is the velocity v(t) of the block at t = 0?

According to social exchange theory, altruistic behaviors benefit the individual who performs them. t/f

4r-134a enters the condenser of a residential heat pump at 800 kpa and 50°c at a rate of 0.022 kg/s and leaves at 750 kpa subcooled by 3°c. the refrigerant enters the compressor at 200 kpa superheated by 4°c determine (a) the isentropic efficiency of the compressor, (b) the rate of heat supplied to the heated room, and (c) the cop of the heat pump. also, determine (d) the cop and rate of heat supplied to the heated room if this heat pump operated on the ideal vapor-compression cycle between the pressure limits of 200 and 800 kpa. (0.757, 4.37 kw, 5.12, 6.18, 3.91 kw)

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?