I. if the force can only be in the y-direction, what should the magnitude of the force be? (don't forget gravity! ) i. find the direction and the magnitude of the force when you want the launching speed to be the same as the traveling speed. 2. box on a slope with friction a box of mass m 10 ikgl is moving on a frictionless ground in the horizontal direction with constant speed po8 [msl, and starts to climb up a slope with an angle, 6, to the horizontal at t = 0 [s unlike the ground, the slope has the static frictional coefficient of ts-04 and the kinetic frictional coefficient ofha-01. i what is the maximum angle, θ a , with which the box stops at the highest position? also find the height to the position of the box (measured from the ground) when it stops with 6 max 3. circular motion consider a ball of 0.2 [kg] and a massless string attached to the ball. the ball is in a circular motion with radius 3 [m] due to the string tension, and the circular path is in a perpendicular plane. i. the frequency of the motion is measured to be 1 [rev/s). what is the speed of the ball at that time? ii. there is gravity in nature, and we cannot just ignore it in general. qualitatively discuss the effect of gravity to the circular motion; what if the speed of the ball is high/low? what is the criterion for determining whether the speed is high or low?

Apositive point charge q is fixed on a very large horizontal frictionless tabletop. a second positive point charge q is released from rest near the stationary charge and is free to move. which statement best describes the motion of q after it is released? assume q stays on the table

Why there is no inductive reactance in dc circuits

In a steady-flow steam power plant system, two adiabatic high-pressure and low-pressure turbines ane used to generate power. superheated steam enters the high-pressure turbine at 8 mpa and 550°c. the steam expands in the high-pressure turbine to a saturated vapor at 3 mpa. in order to increase the powe generation of the power plant, another steam turbine working in a lower pressure ranges is deployed. the outlet vapor from the first turbine is heated up at a boiler to the temperature of 500 c at the constant pressure of first turbine's outlet (3 mpa). then, the vapor enters the second turbine and produces extra work. the exit conditions of the second turbine are 5o kpa and 90 percent quality. if the total power output of the power plant is 25 mw, determine a) the mass flow rate of the water (kg/s). b) heat transfer rate in the boiler (mw). (30 points) 3 mpa 00 c 8 mpa s0 c high pres turbine low pres boiler turbine 50 kpa 3 mpa 09 saturated vapor t heat engine, shown in the figure, operates between high temperature and low temperature of through a heat 4. a carnot tn and tu respectively. this heat engine receives energy from a heat reservoir at t exchanger where the heat transferred is proportional to the temperature difference as ? = k (z,-7, ). it rejects heat at a given low temperature tl. to design the heat engine for maximum work output, find the high temperature, th, as a function of tes and t. (15 points) qe