VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
12th Edition
ISBN: 9781260265521
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 14.106RP
A 50-kg mother and her 26-kg son are sledding down a 20° incline when their 8-kg toboggan hits a small bump and the son falls off the sled (he was not holding onto the toboggan as instructed by his mother). After one second, the mother jumps off the toboggan to see if her son is unharmed. The son leaves the toboggan with zero relative velocity, and the mother has a relative velocity of 1 m/s up the hill when she jumps off the toboggan. Knowing that the toboggan is initially traveling at 5 m/s and that the coefficient of kinetic friction between the toboggan and the ground is 0.35, determine the speed of the toboggan immediately after the mother jumps off.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
During the filming of an adventure movie, the 55.0-kg heroine makes a flying leap, grabbing her 70.0-kg
partner as he stands on the edge of a building. The building is 20.0 m high, and after the collision the pair fall
together of the building with an initial velocity that is horizontal. In the stunt, the pair are to fall into a
swimming pool below. The near edge of the pool is 3.00 m from the wall of the building and the far edge is 15.0
m from the wall.
a. What speed must the heroine (before collision) have in order for the pair to land in the center of the
pool?
b. lsWhat are the limits of her speed (before collision) resulting in a reasonably safe landing (1.00 m from
either edge)?
(a)
(b)
| 目 # 曲
During an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make
contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot
touches the ground. (Ignore air resistance.)
(a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.)
horizontal
N
vertical
(b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed
(in m/s) increase with each step? (Round your answer to at least three significant figures.)
m/s
(c) Assuming that the sprinter's speed increases at a…
A 300 g block is dropped onto a relaxed vertical spring with spring constant k = 250 N/m. The block compresses the spring 12 cm before momentarily stopping. a. Draw the free body diagram of the block while it is in contact with the spring. b. What is the work done on the block by the spring force? c. What is the speed of the block just before it hits the spring?
Chapter 14 Solutions
VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - Prob. 14.3PCh. 14.1 - Prob. 14.4PCh. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9. assuming...
Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three particles A, B, and C....Ch. 14.1 - For the system of particles of Prob. 14.13,...Ch. 14.1 - A 13-kg projectile is passing through the origin O...Ch. 14.1 - A 300-kg space vehicle traveling with a velocity...Ch. 14.1 - A 2-kg model rocket is launched vertically and...Ch. 14.1 - An 18-kg cannonball and a 12-kg cannonball are...Ch. 14.1 - Prob. 14.19PCh. 14.1 - Prob. 14.20PCh. 14.1 - An expert archer demonstrates his ability by...Ch. 14.1 - Two spheres, each of mass m, can slide freely on a...Ch. 14.1 - Prob. 14.23PCh. 14.1 - A 6-kg shell moving with a velocity...Ch. 14.1 - A 6-kg shell moving with a velocity...Ch. 14.1 - In a scattering experiment, an alpha particle A is...Ch. 14.1 - Derive the relation Ho=rmv+HG between the angular...Ch. 14.1 - Show that Eq. (14.23) may be derived directly from...Ch. 14.1 - Consider the frame of reference Ax'y'z' in...Ch. 14.1 - Show that the relation MA=HA where HA is defined...Ch. 14.2 - Determine the energy lost due to friction and the...Ch. 14.2 - Prob. 14.32PCh. 14.2 - In Prob. 14.6. determine the work done by the...Ch. 14.2 - Determine the energy lost as a result of the...Ch. 14.2 - Two automobiles A and B, of mass mA and mB,...Ch. 14.2 - It is assumed that each of the two automobiles...Ch. 14.2 - Solve Sample Prob. 14.5, assuming that cart A is...Ch. 14.2 - Ball B is suspended from a cord of length l...Ch. 14.2 - A 15-lb block B starts from rest and slides on the...Ch. 14.2 - A 40-lb block B is suspended from a 6-ft cord...Ch. 14.2 - In a game of pool, ball A is moving with a...Ch. 14.2 - In a game of pool, ball A is moving with a...Ch. 14.2 - Three spheres, each with a mass of m, can slide...Ch. 14.2 - In a game of pool, ball A is moving with the...Ch. 14.2 - The 2-kg sub-satellite B has an initial velocity...Ch. 14.2 - A 900-lb space vehicle traveling with a velocity...Ch. 14.2 - Four small disks A, B, C, and D can slide freely...Ch. 14.2 - In the scattering experiment of Prob. 14.26, it is...Ch. 14.2 - Prob. 14.49PCh. 14.2 - Three small spheres A, B, C, each of mass m, are...Ch. 14.2 - In a game of billiards, ball A is given an initial...Ch. 14.2 - For the game of billiards of Prob. 14.51, it is...Ch. 14.2 - Two small disks A and B of mass 3 kg and 1.5 kg,...Ch. 14.2 - Two small disks A and B of mass 2 kg and 1 kg,...Ch. 14.2 - Prob. 14.55PCh. 14.2 - Prob. 14.56PCh. 14.3 - A stream of water with a density of =1000kg/m3 is...Ch. 14.3 - A jet ski is placed in a channel and is tethered...Ch. 14.3 - Tree limbs and branches are being fed at A at the...Ch. 14.3 - The nozzle shown discharges water at the rate of...Ch. 14.3 - A rotary power plow is used to remove snow from a...Ch. 14.3 - A hose discharges water at a rate of 8 m3/min with...Ch. 14.3 - Sand falls from three hoppers onto a conveyor belt...Ch. 14.3 - The stream of water shown flows at a rate of 550...Ch. 14.3 - The nozzle shown discharges water at the rate of...Ch. 14.3 - A stream of water flowing at a rate of 1.2 m/min...Ch. 14.3 - A stream of water flowing at a rate of 1.2 m3/min...Ch. 14.3 - Prob. 14.68PCh. 14.3 - The total drag due to air friction on a jet...Ch. 14.3 - Prob. 14.70PCh. 14.3 - In order to shorten the distance required for...Ch. 14.3 - The helicopter shown can produce a maximum...Ch. 14.3 - Prior to takeoff, the pilot of a 3000-kg...Ch. 14.3 - The jet engine shown scoops in air at A at a rate...Ch. 14.3 - A jet airliner is cruising at a speed of 900 km/h...Ch. 14.3 - A 16-Mg jet airplane maintains a constant speed of...Ch. 14.3 - The propeller of a small airplane has a...Ch. 14.3 - The wind turbine generator shown has an...Ch. 14.3 - A wind turbine generator system having a diameter...Ch. 14.3 - While cruising in level flight at a speed of 570...Ch. 14.3 - In a Pelton-wheel turbine, a stream of water is...Ch. 14.3 - A circular reentrant orifice (also called Borda’s...Ch. 14.3 - A railroad car with length L and mass mg when...Ch. 14.3 - The depth of water flowing in a rectangular...Ch. 14.3 - Determine the rate of flow in the channel of Prob....Ch. 14.3 - A chain of length I and mass m lies in a pile on...Ch. 14.3 - Solve Prob. 14.86, assuming that the chain is...Ch. 14.3 - The ends of a chain lie in piles at A and C. When...Ch. 14.3 - A toy car is propelled by water that squirts from...Ch. 14.3 - A toy car is propelled by water that squirts from...Ch. 14.3 - The main propulsion system of a new space...Ch. 14.3 - The main propulsion system of a new space...Ch. 14.3 - A rocket sled bums fuel at the constant rate of...Ch. 14.3 - A space vehicle describing a circular orbit about...Ch. 14.3 - A 540-kg spacecraft is mounted on top of a rocket...Ch. 14.3 - The rocket used to launch the 540-kg spacecraft of...Ch. 14.3 - The weight of a spacecraft, including fuel, is...Ch. 14.3 - The rocket engines of a spacecraft are fired to...Ch. 14.3 - Determine the distance traveled by the spacecraft...Ch. 14.3 - A rocket weighs 2600 lb. including 2200 lb of...Ch. 14.3 - Determine the altitude reached by the spacecraft...Ch. 14.3 - For the spacecraft and the two-stage launching...Ch. 14.3 - In a jet airplane, the kinetic energy imparted to...Ch. 14.3 - In a rocket, the kinetic energy imparted to the...Ch. 14 - Three identical cars are being unloaded from an...Ch. 14 - A 50-kg mother and her 26-kg son are sledding down...Ch. 14 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 14 - In a game of pool, ball A is moving with a...Ch. 14 - Mass C, which has a mass of 4 kg, is suspended...Ch. 14 - A 15-lb block B is at rest and a spring of...Ch. 14 - A 6000-kg dump truck has a 1500-kg stone block...Ch. 14 - For the ceiling-mounted fan shown, determine the...Ch. 14 - An airplane with a weight W and a total wing span...Ch. 14 - The final component of a conveyor system receives...Ch. 14 - A garden sprinkler has four rotating arms, each of...Ch. 14 - A chain of length I and mass m falls through a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 2600-lb car is moving at a speed of 66 mph when the brakes are fully applied, causing all four wheels to skid. Determine the time required to stop the automobile on a rough road, where the coefficient of kinetic friction is equal to 0.60.arrow_forwardThe overworked Amazon delivery person is driving up a steep hill with an incline of 26° when a box they forgot to secure starts sliding toward the back of the truck. The 3.5 kg box starts from rest near the drivers seat and slides 2.1 m along the floor to the rear door. The coefficient of kinetic friction between the box and the floor is 0.36. What is the work done by the weight of the box? Wmg What is the work done by the Normal Force? WN What is the work done by the frictional force? Wf = = = J What is the net work done on the box? Wnet = What the change in kinetic energy for the box? AKE = How fast is the box moving just before it hits the rear door? Vfinal = Sarrow_forwardThe 18 000-kg F-35B uses thrust vectoring to allow it to take off vertically. In one maneuver, the pilot reaches the top of her static hover at 200 m. The combined thrust and lift force on the airplane applied at the end of the static hover can be expressed as F = (44t + 2500t2)i + (250t2 + t + 176 580)j, where F and t are expressed in newtons and seconds, respectively. Determine how long it will take the airplane to reach a cruising speed of 1000 km/hr (cruising speed is defined to be in the x-direction only).arrow_forward
- To understand how the conservation of energy and Newton's second law can be combined to solve kinetic problems. As shown, a large globe has a radius R and a frictionless surface. A small block with mass m starts sliding from rest at the top of the globe and slides along the globe’s surface. The block leaves the globe’s surface when it reaches a height hl above the ground. The system’s geometry is shown for an arbitrary height h. (Figure 1) Note that the subscripts used in this problem is the letter l and not the number 1. Consider what happens when the block leaves the globe’s surface. Which of the following statement or statements are correct? The net acceleration of the block is directed straight down. The component of the force of gravity toward the globe’s center is equal to the normal force’s magnitude. The force of gravity is the only force acting on the block.Consider what happens when the block leaves the globe’s surface. Which of the following statement or statements are…arrow_forward: Tom is interviewing for a new job – a test driver. He was asked to determine whether a vehicle built to test the effects of Problem 1 high accelerations on people is safe. The car moving at a speed of 20 m/s runs into a piston that compresses the air in a cylinder and stops the car in 0.30 m. The 70-kg passenger stops in the same distance due to the force of shoulder straps and seat belts on her body. Draw free-body diagram for the passenger when he is slowing down to a stop inside a car. Assume that the force of the shoulder straps and seat belt is horizontal. Do not forget to draw acceleration vector as well. Choosing the passenger as your system and applying energy conservation law, find the work that the force of shoulder straps b. and seat belts did on his body in this process. C. Now that you have determined the work in the previous part, determine the magnitude of the average force of these restraints on the person during the stop.arrow_forward! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A tractor-trailer rig with a 2000-kg tractor, a 4500-kg trailer, and a 3600-kg trailer is traveling on a level road at v = 90 km/h. The brakes on the rear trailer fail and the antiskid system of the tractor and front trailer provide the largest possible force which will not cause the wheels to slide. The coefficient of static friction is 0.75. Trailer Trailer Rig 00 00 00 Determine the shortest time for the rig to come to a stop. (You must provide an answer before moving to the next part.) The shortest time for the rig to come to a stop is S.arrow_forward
- Block A has a mass of 10 kg and bloc B has a mass of 2 Kg and are kept at rest. The 2 blocs are comected by a cord passing by a wheel at the top of the incline. The surface of the incline has a friction coefficient -0.12. The angle of the incline is 0= 30°. A is at 6 meters above the incline floor. After being released from rest, the bloc A will move down. Determine the total energy of the bloc A after it has moved down the incline by 4 meters.. Calculate its velocity. 6 m Barrow_forwardI need help on parts a,b and carrow_forwardUsing a simple pulley/rope system, a crewman on an Arctic expedition is trying to lower a 6.56 kg crate to the bottom of a steep ravine of 24.7 meters. The 60.9 kg crewman is carefully lowering the crate at a constant speed of 1.50 m/s. Unfortunately, when the crate reaches a point of 13.7 meters above the ground, the crewman slips and the crate immediately accelerates toward the ground dragging the crewman across the ice and toward the edge of the cliff. Assuming no friction, at what speed does the crate hit the ground? Also, assume that the rope is long enough to hit the ground. At what speed does the crewman hit the bottom of the ravine? Assume no air friction.arrow_forward
- This is not a quiz question. It is part of a review packet. Free Body Diagram and Kinetic Free Diagram needed.arrow_forwardA 40-lb suitcase slides from rest 20 ft down the smooth ramp. (Figure 1) Part A: Determine the point where it strikes the ground at C. Express your answer to three significant figures and include the appropriate units. Part B: How long does it take to go from A to C? Express your answer to three significant figures and include the appropriate units.arrow_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 75-Mg boxcar A is moving in a railroad switchyard with a velocity of 12.5 km/h toward cars Band C, which are both at rest with their brakes off at a short distance from each other. Car Bis a 30-Mg flatcar supporting a 40-Mg container, and car Cis a 70-Mg boxcar. As the cars hit each other, they get automatically and tightly coupled. v km/h A C В NOP Determine the velocity of car A immediately after each of the two couplings, assuming that the container slides after the first coupling but hits a stop before the second coupling occurs. km/h →. The velocity of car A after the first coupling is | The velocity of car A after the second coupling is km/h +.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY