You have been hired as an expert witness in an investigation of a quadcopter drone incident. The incident occurred during a very rare meteor shower during which several unusually massive chunks of meteoric material were passing through the atmosphere and striking the ground. The unmanned drone was hovering at rest over the center of a house on fire, having just dropped fire retardant, when it seemed to spontaneously explode into four large pieces. The locations of the four pieces on the ground were measured as follows, relative to the center of the house over which the drone was hovering:
The fire department is suggesting that the drone was defective and exploded while in use. The drone manufacturer is suggesting that the drone was struck by a meteorite, causing the explosion. Perform a calculation that will show evidence suggesting agreement with one of these positions.
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Chapter 9 Solutions
Physics for Scientists and Engineers
- In a dark matter direct detection experiment, a dark matter particle is supposed to directly interact with the atoms in the detector, causing either a nucleus or an electron to recoil after the collision has occurred. The dark matter particles in our galaxy should be moving at non-relativistic speeds, so this scattering process can be described using the conservation of momentum governed by Newton's laws without the need for quantum mechanics. One of the most common target materials for these experiments is xenon. Your goal is to answer the following question. Assuming there is a dark matter particle with incident velocity v1 that will scatter from a Xe-136 nucleus (with a mass of 136 amu) that was initially at rest as shown below. What is the dark matter mass? You should solve for the answer symbolically first. Then you will substitute in the values shown below to get out an actual numerical value for the mass, in amu. Dark Matter Particle 02 01 Өз Xe nucleusarrow_forwardTwo identical blocks of mass M = 2.60 kg each are initially at rest on a smooth, horizontal table. A bullet of very small mass m = 20 g (m << M) is fired at a high speed v. = 120 m/s towards the first block. It quickly exits the first block at a reduced speed of 0.40 v, then strikes the second block, quickly getting embedded inside of it. All the motion happens on the x-axis. (a) find the speeds of the two blocks after their encounters with the bullet. (b) Now the first block catches up with the second one and collides with it. They got stuck together afterward and move forward. Find their common speed V after the collision. (c) The two blocks now hit a light spring of spring constant k = 35 N/m mounted on the wall. How far is the spring compressed before the blocks reach a momentary stop?arrow_forwardAn asteroid of mass m = 500 kg is moving through space at velocity Vmi = 3i+2j-9k(ms^-1). It collides with another asteroid of mass M=1000 kg moving with velocity and Vmi=-5i+9k(ms^-1). The two asteroids stick together. What is their velocity after the collision?arrow_forward
- An alpha particle (a two protons, two neutrons) moves into a stationary gold atom (Au = 79 protons, 118 neutrons), passing through the electron region that surrounds the gold nucleus like a shell and headed directly toward the nucleus (see below). The alpha particle slows until it momentarily stops when its center is at radial distance r from the nuclear center. Then it moves back along its incoming path. (Because the gold nucleus is much more massive than the alpha particle, we can assume the gold nucleus does not move.) What was the kinetic energy K; of the alpha particle when it was initially far away (hence external to the gold atom)? Assume that the only force acting between the alpha particle and the gold nucleus is the (electrostatic) Coulomb force and treat each as a single charged particle. 9.23 fm It was actually experiments like this, performed between 1908 and 1913 by Hans Geiger and Ernest Marsden, under the direction of Ernest Rutherford at the Physical Laborato- ries of…arrow_forwardPlease solve 2arrow_forwardA projectile with a mass m = 200 kg and a velocity v = 100 ms-¹ is fired at an angle of = 60°. At the highest point of its trajectory, it explodes and breaks into three pieces with the same mass. Two pieces have the same velocity magnitude as the projectile shortly before the explosion. One of those two pieces moves vertically downwards, and the other moves horizontally forward. a) Compute the velocity of the third piece right after the explosion. b) What was the released energy of the explosion?arrow_forward
- A 0.25 kg mass of clay is moving with a horizontal velocity of v when it collides and sticks to a 5 kg object hanging from the end of a 1 meter long rod. Find the minimum velocity v so that the objects will make one complete revolution.arrow_forwardThe Moon’s craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 4.95 × 1012 kg (such an asteroid is about a kilometer across) strikes the Moon at a speed of 14.5 km/s relative to the Moon. What is the change in kinetic energy, in joules, in the collision? Such an event may have been observed by medieval English monks who reported observing a red glow and subsequent haze about the Moon.arrow_forwardTwo asteroids strike head-on: before the collision, asteroid A AmA = 7.5 * 10 3.3 kms 12 kgB Ge has velocity and asteroid B AmB = 1.45 * 10 1.4 kms 13 kgB A has velocity in the opposite direction. If the asteroids stick together, what is the velocity (magnitude and direction) of the new asteroid after the collision?arrow_forward
- Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as m₁ = 0.0145 kg, m2 = 0.0141 kg, m3 = 0.0245 kg, and m4 = 0.0105 kg. At this very instant, the x and y components (Ux, U,) of the mice's velocities are, respectively, (U₁x, U₁₁y) = (0.591 m/s, -0.425 m/s,) (v2.x, U2,y) = (-0.605 m/s, -0.933 m/s,) (v3,x, U3,y) = (0.259 m/s, 0.305 m/s), and (V4x, V4,y) = (-0.211 m/s, 0.569 m/s). Calculate the x and y components px and py of Bryce's mice's total momentum. Px = kg.m/s Py = kg.m/sarrow_forwardA rocket is at rest in space relative to the Earth and has a mass of M = 2.55 × 10^5 kg when it is filled with fuel and propellant. The engine consumes fuel/propellant at a constant rate of 480 kg/s with an exhaust speed of Vex = 5.35 km/s If the rocket has a “main burn” time for t = 250 s, what is the change in velocity of the rocket in km/s?arrow_forwardQ.12. Consider two particles of masses m, = m and m2 = 3m moving with initial velocities Vii +1 m/s and v2i = -1 m/s along the same direction. The two %3D particles collide head-on elastically, and then leave the collision site with different velocities, v1f and var. The final velocities immediately after collision are: a. Vif = -2 m/s; v2f = 0 m/s %3D b. Vif = 0 m/s; V2f = 0.5 m/s c. Vif = -2.5 m/s; v2r = 0.5 m/s 3 m d. Vif = -4 m/s; v2f = 0 m/sarrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning