7-34. A particle of mass m slides down a smooth circular wedge of mass M as shown in Figure 7-C. The wedge rests on a smooth horizontal table. Find (a) the equation of motion of m and Mand (b) the reaction of the wedge on m. m R y M FIGURE 7-C Problem 7-34.
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- Please asapAn acrobatic buccaneer swings from one rope to another in the rigging of a pirate ship. As she grasps the rope, her mass is m, 63.5 kg; knots on the rope make the rope's effective mass m, 1.50 kg. From the height %D she grabs the rope, she swings up a further distance of 1.50 m. Assuming that her collision with the rope is perfectly inelastic, answer the following questions: {Note: Treat as a ballistic pendulum problem!} mehanical a) Does the buccaneer's collision with the rope conserve her-kietie en- ergy? {Y/N?} b) Neglecting any energy losses due to friction, air drag, etc., determine the velocity of the buccaneer + rope system right after she grabs the rope in m/s. {Assume a closed system, thus Conservation of Energy} c) Is it possible to calculate the buccaneer's initial speed before she grabbed the rope from the information given? {Y/N?}Problem 3: (a) Use spherical coordinates to find the center of mass (CM) of a uniform solid hemisphere of radius R, whose flat face lies in the ry plane with its center on the origin. [Note: dV = ² sin 0 dr do do.] (b) Use your result from part (a) to calculate the CM of a hemispherical "bowl" with outer radius R and inner radius kR, k < 1. (Depending on your work in part (a), you may not even need to do another integral.) (c) Use your result from the previous part to find the CM for an infinitely thin hemispherical shell of radius R.
- Calculate the increase in velocity (in m/s) of a 4810 kg space probe that expels 3210 kg of its mass at an exhaust velocity of 4.00 ✕ 103 m/s. You may assume the gravitational force is negligible at the probe's location. The answer is 4400 m/s given by the homework website I tried using the conservation of momentum and the conservation of kinetic energy but did not get the right answer.Calculate the final velocity of block STwo bricks, each of mass M, head directly toward each other on a frictionless surface and collide, as shown. Brick A has twice the speed as brick B. Which one of the following statements is true regarding the forces the objects exert on each other during the collision? 2v – A В The magnitude of the force that A exerts on B is four times smaller than the magnitude of the force that B exerts on A. The magnitude of the force that A exerts on B is two times smaller than the magnitude of the force that B exerts on A. The magnitude of the force that A exerts on B is equal to the magnitude of the force that B exerts on A. O The magnitude of the force that A exerts on B is twice as large as the magnitude of the force that B exerts on A. The magnitude of the force that A exerts on B is four times as large as the magnitude of the force that B exerts on A.
- A person that has a mass of 83 kg stands in the middle of a frozen pond with a radius of 11 m.Because of the frictionless nature of the ice, they are unable to get to theother side of the pond. So, the person throws their textbook that has a mass of2.3 kg horizontally towards one side of the pond, with a speed of 7.5 m/s. How fast does theperson slide along the ice?On a frictionless plane, a body with mass m1 hits with velocity v a second body at rest (mass m2) and connects to it. Subsequently, the composite body hits via a spring (spring constant k) a third body at rest (mass m3). a) Determine the speed v of the mass m1 such that m3 remains at rest, if the plane solely at the location of m3 is rough (coefficient of static friction μ0). b) Determine the speed of m3 after collision if the plane at the location of m3 is also frictionless.answer the speed of the defendant's car, in m/s. Plaintiff's speed: 15.0 m/s Skidmark angle: 58o Both car masses are the same. The plaintiff's car was going eastbound, while the defendant's car was going northbound. They collided and skidded together. The angle is the angle from the east direction.
- mi m2 Two masses are initially moving as shown in the diagram. Mass m1 = 6.80kg and is moving at 8.20m/s in the positive x-direction, and mass m2 = 5.70kg %3D and is moving at 9.30m/s at an angle of 12.0° to the right of the y-direction. They collide and stick together. What is the magnitude and direction of their final velocity? Show as much of your work as possible.Moderating a Neutron In a nuclear reactor, neutrons released by nuclear fission must be slowed down before they can trigger additional reactions in other nuclei. To see what sort of material is most effective in slowing (or moderating) a neutron, calculate the ratio of a neutron's final kinetic energy to its initial kinetic energy, Kf/Ki, for a head-on elastic collision with each of the following stationary target particles. (Note: The mass of a neutron is m=1.009u, where the atomic mass unit, u, is defined as follows: 1u=1.66×10−27kg.) An electron (M=5.49×10−4u) Express your answer using four significant figures.Kf/Ki=