Concept explainers
A seaplane of total mass m lands on a lake with initial speed
(a) Carry nut the integration to determine the speed of the seaplane as a function of time. (b) Sketch a graph of the speed as a function of time. (c) Does the seaplane come to a complete stop after a finite interval of time? (d) Does the seaplane travel a finite distance in stopping?
Trending nowThis is a popular solution!
Chapter 6 Solutions
Physics for Scientists and Engineers
- An electron is a subatomic particle (m = 9.11 x 1031 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +5.72 x 105 m/s to a final velocity of 2.64 x 106 m/s while traveling a distance of 0.0783 m. The electron's acceleration is due to two electric forces parallel to the x axis: F1 = 9.44 x 10-17 N, and F2, which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force F2. F F FF Voarrow_forwardA copper block with mass m = 200 g, is at rest on a glass surface, where the plane makes an angle θθ = 45∘. Assume that the glass surface is frictionless. Calculate the acceleration of the copper block when it is released from rest. Express your result in m/s2. Using the information presented calculate the force acting on the mass, m = 200 g, just as it is released from the top of the inclined plane, at y = 8.48 m. Express your answer in Newtons.arrow_forwardlo, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on lo is only 1.81 m/s², and lo has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled ▼ What must be the speed of material just as it leaves the volcano altitude of 310 km? Express your answer in meters per second. V = Submit Part B 1ΫΠ| ΑΣΦ U = Request Answer [5] ΑΣΦ Submit ? If the gravitational potential energy is zero at the surface, what is the potential energy for a 35 kg fragment at its maximum height (500 km) on lo? Express your answer in joules. Request Answer m/s ? Constant J reach anarrow_forward
- Inverted Pendulum: A pendulum of certain mass 'm' is attached to a rod of length 'I' and is constrained to move on xy-plane (see Figure above). After applying appropriate physical laws and relevant approximations, it is found that the angle e follows the following ordinary differential equation(ODE): انتقل إلى الإعدادت لتنشيد Here g = 9.81 m/s, the acceleration due to gravity. Solve the above ODE using ode45 from t = 0 to 2.5 sec witha step size of 0.1 sec. Plot 0(t) and e(t) in the same plot from t = 0 to 2.5sec Use I= 0.5 m and initial conditions e(0) 0.0 and é(t) = 0.25 (HINT: You need to decompose the above second order ODE into two first order ODES)arrow_forwardExpress the force F as a vector in terms of the unit vectors i, j, and k. Determine the angles 0x, 0y, and 0, which F makes with the positive x-, y, and z-axes. 2, mm | В (-25, 50, 40) F = 750 N y, mm А (15, -20, -25) X, mmarrow_forwardA player hits a ball with a speed of 39 m/s at an angle of Ɵ= 54 at a place where gravity is equal to 9.8 m/s 2 a. Find the x using this equation: x=Vo cos Ɵ t b. Find the y using : y=Vo sin Ɵ t – ½ gt2 c. Find the velocity of x and y d. Find the velocity along x axis using Vx= Vo cos Ɵ Vy= Vo sin Ɵ gtarrow_forward
- Particles q1 = +8.0 x 10^-6, q2 = 3.5 x 10^-6, q3 -2.5 x 10^-6 are in a line. Particles q1 and q2 are separated by 0.10 m and particles q2 and q3 are separated by 0.15 m. What is the net force on particle q1?arrow_forwardDetermine the force Q-> when the block moves with constant velocity. Express your answer in vector form.arrow_forwardThe magnitude of the force F is 780 Ib. Express F as a vector in terms of the unit vectors i and j. Identify both the scalar and vector components of F. Y, ft F = 780 Ib | --x, ft 36° A (7,-3) Answers: Vector expression: F = 5) Ib + Scalar components: Fx = Ib, Fy Ib Vector components: Fx = i lb, Fy = j lbarrow_forward
- A box of mass 15.7 kg slides down an inclined plane without friction. If the acceleration, a, of the box along the direction of the plane is 4.1 m/s2, what is the angle θ (in degrees) of the plane with respect to the horizontal?arrow_forwardA sledge is being pulled by two horses on a flatterrain. The net force on the sledge can be expressed inthe Cartesian coordinate system as vectorF→ = (−2980.0 i^+ 8200.0 j^)N , where i^and j^ denote directions to the east and north, respectively. Find the magnitude and direction of the pull.arrow_forwardA cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0 N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. a. Express the two forces in in unit-vector notation. Ans. F = (20.81 i+ 18.74 j)N, F, =(-4.45 i+ 12.22 j)N b. Find the total force exerted on the cart. Ans. EF = (16.36 i + 30.96 j)N or 35.02 N c. Find the angle at which the total force is applied. Ans. 62.15º d. What is the acceleration of the cart? Ans. å = (2.05 i + 3.87 j)" or 4.38 EERINarrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON