Q2) There are 3 blocks whose masses are m, 2m and 3m on the smooth surface. The first one has a velocity v and others connected to spring are at rest. The spring force is not impulsive. If the coefficients of restitution and spring are respectively e and k, a) What is the maximum elongation (or shortening) of spring? b) What is the minimum value of kinetic energy of system? Hint:Equations can be built according to the moving axis with the origin at the center of mass of the bloks connected to the spring. m V 2m k 3m
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- A 6-kg object is lifted upward a distance of 6 m by a vertical force of 80 N. Find the change in kinetic energy of the object. OA There is no change in the kinetic energy or speed, since the object is lifted at dynamics equilibrium. OB. -354 J OC 480 J OD 126.8 J O E None of the above2. A marble moves along the x-axis. The potential-energy function is shown in Figure. a. At which of the labeled x-coordinates is the force on the marble zero? b. Which of the labeled x-coordinates is a position of stable equilibrium? c. Which of the labeled x-coordinates is a position of unstable equilibrium? U O a b c d X1. Calculate the work done on the suitcase by F→. Express your answer with the appropriate units. 2. Calculate the work done on the suitcase by the gravitational force. Express your answer with the appropriate units. 3.Calculate the work done on the suitcase by the normal force. Express your answer with the appropriate units. 4. Calculate the work done on the suitcase by the friction force. Express your answer with the appropriate units. 5. Calculate the total work done on the suitcase. Express your answer with the appropriate units. 6. If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.90 mm along the ramp? Express your answer with the appropriate units.
- You push a box up a ramp (friction between the box and the ramp is not negligible). Call the initial state when you begin to push the box. Call the final state after you have pushed the box up the ramp a distance of 0.5 m and it is moving with a speed of 2 m/s For which of the following systems does the energy remain constant?A. System: box + ramp + Earth + youB. System: boxC. System: box + ramp + EarthD. System: youE. System: box + rampF. None of the above. Two cars are driving down the road. They notice that they are going to crash, so both drivers slam on the brakes. The cars skid, but still collide. The cars stick together and eventually slide to a stop. Call the initial state just before the drivers apply the brakes and the final state just after the collision had occurred. Treat this situation as realistically as possible. For which of the following systems does the energy remain constant?A. System: both carsB. System: both cars + the groundC. System: the second carD. System:…A free-floating ball is attached to three springs that are anchored to posts at points (0,0), (0, 1), and (2, 0) on the plane, each with the same spring constant k = 2kg/s. The ball will eventually come to rest at the point that will minimize the total (elastic potential) energy of the system. Find the coordinates of this point where the ball comes to rest. %3Dk A small toy car of mass m = 0.05 kg is placed on a rough surface and compressed against a spring with spring constant k = 20 N/m. The equilibrium length of the spring is xo = 0.25 m , and it is compressed to a length of x1 between the car and the spring is f = 1 N. When the spring extends back to a 0.1 m. After the car is released, the magnitude of kinetic friction length of x2 0.2 m, what is the magnitude of the toy car's velocity? Pick the correct answer v = 2 m/s C v = 0m/s v = 3.46 m/s C v = 2.8 m/s v = 2.24 m/s
- I want the correct answer with explanationB8The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax2 - bx, where a = 65 N/m2, b = 4 N/m, and the positive x direction is in the compression direction of the spring.a. Write a general equation in terms of the given variable for the work required to compress this spring from equilibrium to any point xp.