A cue ball travelling at 0.785 m/s [270°] strikes a stationary five-ball, causing it to move at 0.601 m/s [230°]. The cue ball and the five-ball each have a mass of 160 g. What will be the velocity of the cue ball immediately after impact? Ignore frictional and rotational effects.
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- A 156 g cart moves on a horizontal, frictionlesssurface with a constant speed of 11.1 cm/s.A 60.6 g piece of modeling clay is droppedvertically onto the cart.If the clay sticks to the cart, find the finalspeed of the system.Answer in units of cm/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/sKyle, a 80.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.437 m off the ground. He hits the ground 0.0358 m away from where he leapt. If the ball was moving horizontally when it was caught, how fast u was the ball traveling? Vs m/s
- Please answer question 7Identical twins, each with mass 52.5 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 2.55 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B?James decides to use a ball tied to stiff rod to take out the Road Runner. He first needs to test this idea out on a small scale. A steel ball of mass 0.500 kg is fastened to a cord that is 70.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal (see figure below). At the bottom of its path, the ball strikes a 2.50 kg steel block initially at rest on a frictionless surface. The collision is elastic. a) Find speed of the ball just before impact. b) Find the speed of the block just after impact.
- A baseball arrives at home plate at a speed of 43.3 m/s. The batter hits the ball along the same straight line directly back at the pitcher at 68.4 m/s (think about the directions). The baseball has a mass of 0.145 kg and the bas is in contact with the ball for 6.28x10^-4 s. What is the magnitude of the average force on the ball from the bat?A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 99.5 kg. The mass of the rock is 0.277 kg. Initially the wagon is rolling forward at a speed of 0.488 m/s. Then the person throws the rock with a speed of 16.6 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown (a) directly forward in one case and (b) directly backward in another. (a) vi (b) v-:: 2 8: F2 10. A small ball of mass m₁ = 0.280 kg is moving at a speed of 3.55 m/s. It strikes a stationary larger ball of mass m₂ = 0.580 kg. After the collision, the balls follow the path shown in the figure, where a = 25.0° and 3 = 53.0°. What is the magnitude of the velocity of the smaller ball after the collision? (Neglect friction and rotational motion.) 3 80 F3 $ 4 gog 800 R • WE | SDF // % 5 m/s T G ^ 6: Vif XCVB MacBook Air P α Y B V₂f H & 7 F7 U N 8 DII V ( M 9 K DD O O P + 11 { = 1219 delete
- An astronaut finds herself in a predicament in which she has become untethered from her shuttle. She figures that she could get back to her shuttle by throwing one of three objects she possesses in the opposite direction of the shuttle. The masses of the objects are 5.4 kg, 7.9 kg, and 10.1 kg, respectively. She is able to throw the first object with a speed of 15.00 m/s, the second with a speed of 14.2 m/s, and the third with a speed of 7.0 m/s. If the mass of the astronaut and her remaining gear is 75.0 kg, determine the final speed of the astronaut with respect to the shuttle if she were to throw each object successively, starting with the least massive and ending with the most massive. Assume that the speeds described are those measured in the rest frame of the astronaut.Two bumper cars at the county fair are sliding toward one another (see figure below). Initially, bumper car 1 is traveling to the east at 5.62 m/s, and bumper car 2 is traveling 60.0° south of west at 10.00 m/s. After they collide, bumper car 1 is observed to be traveling to the west with a speed of 3.24 m/s. Friction is negligible between the cars and the ground. (a) If the masses of bumper cars 1 and 2 are 588 kg and 633 kg respectively, what is the velocity of bumper car 2 immediately after the collision? (Express your answer in vector form. Enter your answer to at least three significant figures.) (b) What is the kinetic energy lost in the collision?An open train car, with a mass of 2050 kg, coasts along a horizontal track at the speed 2.792.79 m/s. The car passes under a loading chute and, as it does so, gravel falls vertically into it for 2.792.79 s at the rate of 475 kg/s. What is the car's speed vf after the loading is completed? Ignore rolling friction.