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- 97 PROBLEMS 2-45. Describe how to determine whe ther an equilibrium is stable or unstable when (dUdx),0. 2-46. Write the criteria for determining whether an equilibrium is stable or unstable when all derivatives up through order n, (d" U/ dx ") 0. 247. Consider a particle moving in the rCrionWe know that the total energy of the ball is purely kinetic when it bounces off the floor, and the energy is purely gravitational when the ball reaches maximum bounce height. We will focus on the percent energy loss during each collision. The percent energy loss is the energy lost during the collision divided by the initial energy of the ball. The percent energy lost during the nth collision is denoted by PELn. En-1 – En En–1 PEL х 100 Equation 2 Question 5 Derive an equation that determines the percent energy loss after the nth bounce in terms of the maximum bounce heights h, and h,n-1.4.5G 9:30 D 86 A) Define the det productICl=C two vecters A and B which ane and B Bx+ By Bz in three-dimetaional Carteslan Coordinate System. glwen as A Axi+ A+ AzE 3) Defme Hhe creas above. product Ĉ d the two vecders Ä c) awte the followumg numbers usha engineenhg notaken and dhree (3) Siaificant Figunes (Ss). a ) 7, 560, 929 ii) 32 s i) 0.07 iv) 54.35 D) Determime ashich of the following quan Hhies scalarzs or vectozs, together with theiz wni'ts in SI system. i) length s are ii) mass ; ti) force : v) moment: Windows'u I Windows'u etkinl
- this is a multi step problem but I am just having trouble with this part of the problem. Here are the values that I correctly calculated: mass of particle 1=6 kg initial velocity for particle 1= 185i+138j final velocity for particle 1= -68.89i+-50.67j F21=-15.9e-t/96i+-100sin(2πt/96)j I am trying to find: What is the x displacement for particle 1? I think that I need to use Newtons second law to get an expression for acceleration, and then integrate but I am not getting the right answers.Problem: a ship of (120 m) long moves through a fresh water (ρ = 1000 Kg/m3 , µ = 1.14*10-3 Pa.s ) at a speed of 32 Km/hr. A (1:100) model of this ship is to be tested in a towing basin (laboratory) containing a liquid of relative density 0.92. For complete dynamic similarity between model and prototype, calculate the following: 1. The velocity of the model, 2. The viscosity must the liquid (model) have, 3. What drag force on the ship corresponds to a model drag of (9 N).A snowball is thrown with a speed of 42.0 km/h, giving it momentum with a magnitude of 2.00 Ns. The mass of the snowball, in grams, is what?
- A ball of mass m₁ = 0.204 kg and velocity 1.571 m/s collides elastically with a ball of mass m₂ = 0.290 kg and velocity -0.393î m/s. Assume the collision is head-on. (Express your answers in vector form. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Find their velocities after the collision (in m/s). Vif 2f = = cm, before m/s (b) Find the velocity of their center of mass before and after the collision (in m/s). cm, after m/s m/s m/sThe horizontal distance to collision is 8242.96 m. The time of collision is 10.487 sec. What is A in m/s^2When a particle decays, it splits into two different particles and each is shot off in opposite direction. The speed of each particle is such that momentum is conserved. uranium 238 decays into thorium 234 by emitting an alpha particle (helium 4). If the alpha particle leaves with a speed of 6.8 x 10^3 m/s, what is the speed of the thorium atom? Give your answer in m/s to three significant figures. Use atomic mass units for the mass of each particle. Uranium 238 in atomic mass units is 238 to three significant figures.
- A ball of mass m₁ = 0.197 kg and velocity 1.561 m/s collides elastically with a ball of mass m₂ = 0.305 kg and velocity -0.408î m/s. Assume the collision is head-on. (Express your answers in vector form. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Find their velocities after the collision (in m/s). 1f V2f = cm, before (b) Find the velocity of their center of mass before and after the collision (in m/s). cm, after = m/s = m/s m/s m/sFor an isolated system where two masses collide in two dimensions (2D), check all TRUE statements: Piy = Pfy J = 0, since the x and y components cancel each other out. If the masses collide in 2D, the collision must be inelastic. Pfx =Pix If the collision is inelastic, the final momentum, Pf, can be derived by the vector addition of the momentum vectors of the two masses prior to collision.A particle is as an object which has no mass and only size. True False