
CP A fireworks rocket is fired vertically upward. At its maximum height of 80.0 m, it explodes and breaks into two pieces: one with mass 1.40 kg and the other with mass 0.28 kg. In the explosion, 860 J of chemical energy is converted to kinetic energy of the two fragments, (a) What is the speed of each fragment just after the explosion? (b) It is observed that the two fragments hit the ground at the same time. What is the distance between the points on the ground where they land? Assume that the ground is level and air resistance can be ignored.

Want to see the full answer?
Check out a sample textbook solution
Chapter 8 Solutions
UNIVERSITY PHYSICS UCI PKG
Additional Science Textbook Solutions
Microbiology with Diseases by Body System (5th Edition)
Campbell Biology: Concepts & Connections (9th Edition)
College Physics: A Strategic Approach (3rd Edition)
Microbiology: An Introduction
Campbell Essential Biology (7th Edition)
Biology: Life on Earth (11th Edition)
- Consider the blocks on the curved ramp as seen in the figure. The blocks have masses m₁ = 2.00 kg and m₂ = 3.60 kg, and are initially at rest. The blocks are allowed to slide down the ramp and they then undergo a head-on, elastic collision on the flat portion. Determine the heights (in m) to which m₁ and m2 rise on the curved portion of the ramp after the collision. Assume the ramp is frictionless, and h 4.40 m. m2 = m₁ m hm1 hm2 m iarrow_forwardA 3.04-kg steel ball strikes a massive wall at 10.0 m/s at an angle of 0 = 60.0° with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.234 s, what is the average force exerted by the wall on the ball? magnitude direction ---Select--- ✓ N xarrow_forwardYou are in the early stages of an internship at NASA. Your supervisor has asked you to analyze emergency procedures for extravehicular activity (EVA), when the astronauts leave the International Space Station (ISS) to do repairs to its exterior or perform other tasks. In particular, the scenario you are studying is a failure of the manned-maneuvering unit (MMU), which is a nitrogen-propelled backpack that attaches to the astronaut's primary life support system (PLSS). In this scenario, the astronaut is floating directly away from the ISS and cannot use the failed MMU to get back. Therefore, the emergency plan is to take off the MMU and throw it in a direction directly away from the ISS, an action that will hopefully cause the astronaut to reverse direction and float back to the station. You have the following mass data provided to you: astronaut: 78.1 kg, spacesuit: 36.8 kg, MMU: 115 kg, PLSS: 145 kg. Based on tests performed by astronauts floating "weightless" inside the ISS, the most…arrow_forward
- Three carts of masses m₁ = 4.50 kg, m₂ = 10.50 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of V1 v1 13 m 12 mq m3 (a) Find the final velocity of the train of three carts. magnitude direction m/s |---Select--- ☑ (b) Does your answer require that all the carts collide and stick together at the same moment? ○ Yes Ο Νο = 6.00 m/s to the right, v₂ = 3.00 m/s to the right, and V3 = 6.00 m/s to the left, as shown below. Velcro couplers make the carts stick together after colliding.arrow_forwardA girl launches a toy rocket from the ground. The engine experiences an average thrust of 5.26 N. The mass of the engine plus fuel before liftoff is 25.4 g, which includes fuel mass of 12.7 g. The engine fires for a total of 1.90 s. (Assume all the fuel is consumed.) (a) Calculate the average exhaust speed of the engine (in m/s). m/s (b) This engine is positioned in a rocket body of mass 70.0 g. What is the magnitude of the final velocity of the rocket (in m/s) if it were to be fired from rest in outer space with the same amount of fuel? Assume the fuel burns at a constant rate. m/sarrow_forwardTwo objects of masses m₁ 0.48 kg and m₂ = 0.86 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k 260 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.4 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) m/s V1 V2= m1 m/s k m2 a す。 k m2 m1 barrow_forward
- Sand from a stationary hopper falls on a moving conveyor belt at the rate of 4.90 kg/s as shown in the figure below. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.710 m/s under the action of a constant horizontal external force F by the motor that drives the belt. Fext i (a) Find the sand's rate of change of momentum in the horizontal direction. (b) Find the force of friction exerted by the belt on the sand. (c) Find the external force ext' (d) Find the work done by F in 1 s. ext (e) Find the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. ext suppliedarrow_forwardAn unstable atomic nucleus of mass 1.84 × 10-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.14 × 10-27 kg, moves in the y direction with a speed of 6.00 × 106 m/s. Another particle, of mass 8.46 × 10-27 kg, moves in the x direction with a speed of 4.00 x 106 m/s. (a) Find the velocity of the third particle. |Î + i) m/s (b) Find the total kinetic energy increase in the process. ]arrow_forwardTwo gliders are set in motion on an air track. A light spring of force constant k is attached to the back end of the second glider. As shown in the figure below, the first glider, of mass m₁, moves to the right with a speed V₁, and the second glider, of mass m₂, moves more slowly to the right with a speed, V2. VI m2 i When m₁ collides with the spring attached to m2, the spring compresses by a distance xmax, and the gliders then move apart again. In terms of V1, V2, m₁, m2, and k, find the following. (Use any variable or symbol stated above as necessary.) (a) speed v at maximum compression V = (b) the maximum compression Xmax Xmax = (c) the speed of each glider after m₁ V1f = has lost contact with the spring (Use any variable or symbol stated above as necessary.) V2farrow_forward
- As shown below, a bullet of mass m and speed v is fired at an initially stationary pendulum bob. The bullet goes through the bob, and exits with a speed of pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the bob.) 2 The pendulum bob is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the V = L m M v/2 iarrow_forwardAs shown in the figure, a billiard ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second billiard ball with mass m₁ moving with a speed 2.00 m/s, collides with m2. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 0 = 48.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ = 0.300 kg.) m₁ Before the collision Vli After the collision Mi sin 9 Jif "If cos Vof COS U2f sin o Mo b (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AKI K;arrow_forwardA block with mass m₁ = 0.600 kg is released from rest on a frictionless track at a distance h₁ = 2.55 m above the top of a table. It then collides elastically with an object having mass m₂ = 1.20 kg that is initially at rest on the table, as shown in the figure below. h₁ իջ m m2 (a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) V1= m/s m/s (b) How high up the track does the 0.600-kg object travel back after the collision? m (c) How far away from the bottom of the table does the 1.20-kg object land, given that the height of the table is h₂ = 1.75 m? m (d) How far away from the bottom of the table does the 0.600-kg object eventually land? marrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning





