The figure below shows a titanium ball with a mass of 2.88 kg bouncing off a wall. The ball has the same speed just before and just after the impact (v = 10.0 m/s), and the angle its path makes with the wall is e = 60.0° as shown. (Because we are analyzing the motion of the ball over a very short time just before and after impact, you may safely ignore the effect of gravity on the ball.) The ball is in contact with the wall for 0.198 s. What is the average force (in N) exerted by the wall on the ball during the impact? magnitude direction --Select--
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- = 1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making an angle 30° with the + axis. Sphere B has mass m₁ = 0.03 kg, velocity magnitude Vb = 3.0 m/s and moves along the +y axis. Sphere C has mass mc 0.04 kg, velocity magnitude vc = 4.0 m/s and moves along the +x axis. See figure. They are all approaching the origin as they slide on a frictionless surface. The three spheres arrive at the origin at the same time and stick together. (a) What is the final velocity of the combined object? (b) How does the final kinetic energy compare to the kinetic energy before the collision? y m a m mb XWhat is the linear momentum of a 74.0 kg object on the Equator, as measured from the center of Earth? The radius R of Earth is 6371 km.A metal object of mass m = 45.77 g with sharp edges hits a wooden block of mass M = 425.3 g at rest on a horizontal surface. Assume that the coefficient of kinetic friction between the block and the surface μk is 0.43. When the metal object hits the block, it is stuck with the block and both start to slide together with velocity vf. They move together after the collision, and stop after sliding ∆x = 1.95 m. What is the initial velocity vi of the metal object before it hits the block in m/s? Keep three significant figures for the answer.
- An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma = 102 kg and the bag of tools has a mass of mp = 19.0 kg. If the astronaut is moving away from the space station at Vj = 2.10 m/s initially, what is the minimum final speed vp.f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? Ub.f = m/sA ball weighing 800 grams and having a radius of 2cm moves in the direction of the positive x-axis at a speed of 5m/s. It collides with another stationary ball weighing 500 grams and also having a radius of 2cm. The collision occurs off-center, with the vertical components of the centers of the balls differing by 1cm. Following the collision, the lighter ball attains a speed of 3m/s. Determine the velocity of the heavier ball after the collision and calculate the amount of energy lost during the collision.A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.7 kg and 2.5 kg, and the length of the wire is 1.36 m. Find the velocity (magnitude and direction) of the ball just after the collision.
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