The force P is applied to the 200-kg block A which rests atop the 100-kg crate. The system is at rest when P is first applied. Determine what happens to each body if (a) P = 600 N, (b) P = 800 N, and (c) P = 1200 N. A 200 kg H, = 0.5, µ̟ = 0.3 B 100 kg H, = 0.25, H = 0.15

Please answer within 90 minutes.

K L water M A 5.10 kg mass attached to a spring is travelling at a speed v; at point K, as shown above. While it is falling it is also being pushed by a spring (k = 475.00 N/m) compressed by 1.60 m (at point K). The mass travels 1.60 m (between K and L) then hits a pool of water at point L where the water exerts an average force of 54.80 N [upwards]. At point L the spring is no longer pushing and begins to stretch (in other words, at point L, x=0). The mass eventually stops at point M. If the distance between L and M is 7.45 m, determine the initial velocity of the mass (v;). Enter an answer with three digits and in S.I. units.

A spring (k = 1300 N/m) is used to stop a 1320 kg vehicle initially traveling at 4.1 m/s.    How much is the spring displaced in doing this task?  Δx =    m

What is the power in kW produced by the La Rance tidal power station in France if the usable tidal range is 10 m? The barrage is 140m long and the area of the basin behind the barrage is 22 km2. Tidal period is 12h 25minutes. Density of salt water is 1020 kg/m3. Use proper units and 3 significant figures.

Figure MA mc Determine a formula for the magnitude of the force F exerted on the large block (mc) in the figure (Figure 1) so that the mass mA does not move relative to mc. Ignore all friction. Assume mp does not make contact with mc Express your answer in terms of the given quantities and appropriate constants. VE ΑΣΦ +m+m₂) • ( F = (MA !The correct answer does not depend on a. No credit lost. Try again. ?

Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with two elastic cords tied to the ankles. The jumper falls freely for a while, with the cords slack. Then the jumper falls an additional distance with the cords increasingly tense. Assume that you have cords that are 8 m long, and that the cords stretch in the jump an additional 22 m for a jumper whose mass is 100 kg, the heaviest adult you will allow to use your bungee jump (heavier customers would hit the ground). (a) It will help you a great deal in your analysis to make a series of 5 simple diagrams, like comic strip, showing the platform, the jumper, and the two cords at the following times in the fall and the rebound: 1 while cords are slack (shown here as an example to get you started) 2 when the two cords are just starting to stretch 3 when the two cords are half stretched 4 when the two cords are fully stretched 5 when the two cords are again half stretched, on the way up On each diagram,…

You have a light spring which obeys Hooke's law. This spring stretches 2.32 cm vertically when a 3.00 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m)  _____N/m (b) the distance (in cm) the spring stretches if you replace the 3.00 kg object with a 1.50 kg object  ______cm (c) the amount of work (in J) an external agent must do to stretch the spring 9.00 cm from its unstretched position  ______J

n with a force of 100 N, what is the most weight that the large piston can support? t ? GMA MINT 49. How many watts of power do you expend when you exert a force of 50 N that moves a crate 8 m in a time interval of 4 s? 50. Emily holds a banana of mass m over the edge of a bridge of height h. She drops the banana and it falls to the river below. Use conservation of energy to show that the speed of the banana just before hitting the water is v = √2gh. daid vil a. Speed b. KE c. PE 53. The roller coaster ride starts from rest at point A. Rank these quantities from greatest to least point: UJ

A cylindrical tank, shown in the figure, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.) 8 m