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Consider a system of two particles in the xy plane: m1 = 2.00 kg is at the location
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Chapter 9 Solutions
Physics for Scientists and Engineers
- The mass of particle 1 is 11kg and the mass of particle 2 is 15kg. The initial velocity for particle 1 is (-104m/s)i + (216m/s)j and the initial velocity of particle 2 is (75m/s)i + (-152m/s)j.arrow_forwardConsider a system of two particles in the xy-plane. For the first particle, Its mass is m₁ = 1.30 kg Its position is 7¹₁ = (1.202 + 2.203) m Its velocity is ₁ = (2.2002 + 0.100)) m/s For the second particle, Its mass is m₂ = 2.90 kg Its position is 7¹2 = (-3.60% - 2.403) m Its velocity is v₂ = (2.2001 - 2.000)) m/s a. Find the position of the center of mass of the system. 7CM = im+m b. Determine the velocity of the center of mass. UCM = 2 m/s + m/s c. What is the total linear momentum of the system? Pr = kg-m/s + kg-m/sarrow_forwardA small ball of mass mb = 0.050 kg is projected into a pendulum of mass Mp = 0.200 kg in a ballistic pendulum experiment. How fast does the ball need to go in order to get the pendulum to swing up to a height of h = 0.25 m abov its original position? O 11.1 m/s 0.553 m/s 2.21 m/s 0.111 m/sarrow_forward
- In a train crash, a train of mass 1.85 x 104 kg collides with a stationary train of mass 2.20 x 104 kg at a speed of u = 20.0 ms-1. Filling the crash, they connect and move at the same speed. There is no friction. The train driver blows a whistle which is open at one end and closed at the other. It has a length of 0.480m . The speed of sound in air is 343 ms-1. 1. Draw a diagram of the standing wave pattern of the air pressure in the whistle for its fundamental resonant frequency. Label the open and closed ends of the whistle. 2. calculate the frequency of the sound made by the whistles fundamental resonance.arrow_forwardA man (weighing 915 N) stands on a long railroad flatcar (weighing 2415 N) as it rolls at 18.2 m/s in the positive direction of an x axis, with negligible friction.Then the man runs along the flatcar in the negative x direction at 4.00 m/s relative to the flatcar. What is the resulting increase in the speed of the flatcar?arrow_forwardIn a car crash, a Volvo of mass 1.85 x 104 kg collides with a stationary truck of mass 2.20 x 104 kg at a speed of u = 20.0 ms-1. Filling the crash, they connect and move at the same speed. There is no friction but the train driver blows a whistle (length = 0.480 m) which is open at one end and closed at the other and travels at a speed in air of 343 ms-1. If an observer stood nearby on a bridge above hears the whistle as the train approaches at 40.0 ms-1: 1. Demonstrate how the whistle frequency perceived by the observer is 13.2% greater than the frequency perceived by the driver. 2. Describe how the sound of the whistle heard by the observer will change as the train approaches and goes past the bridgearrow_forward
- A small ball of mass mb = 0.050 kg is projected into a pendulum of mass Mp = 0.200 kg in a ballistic pendulum experiment. How fast does the ball need to go in order to get the pendulum to swing up to a height of h = 0.25 m above its original position? 2.21 m/s 0.111 m/s 11.1 m/s 0.553 m/sarrow_forwardTwo masses are initially at rest (m₁ = 56 g and m₂ = 74 g) and are both in contact with compressed springs (as shown in the figure). The springs have spring constants k₁ = 2100 N/m and K₂ = 1800 N/m. Spring 1 has an initial compression of 2.4 cm and spring 2 has an initial compression distance of 2.1 cm. Both masses are released at the same time and move toward each other along a frictionless surface. What are the velocities of the two masses once they lose contact with the springs? Let motion to the right be positive and to the left be negative. Give your answers in m/s, including a minus sign where needed: V1 V2 Uf The collision of the two masses is completely inelastic (meaning they stick together). What is the final velocity (after the collision) of the combined masses? Be sure to include a minus sign if the motion is to the left: m₁ m/s Question 1 m/s m₂arrow_forwardConsider a system of two particles in the xy plane: m1 = 2.00 kgis at the location r→1 = (1.00î + 2.00ĵ)m and has a velocity of (3.00î + 0.500ĵ)m/s; m2 = 3.00 kg is at r→2 = (-4.00î - 3.00ĵ)m and has velocity (3.00î- 2.00ĵ) m/s. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (b) Find the position of the center of mass of the system and mark it on the grid. (c) Determine the velocity of the center of mass and also show it on the diagram. (d) What is the total linear momentum of the system?arrow_forward
- Momentum, P = (2.0 kg m/sec)î – (7.0 kg m/sec)ĵ acts on a particle with position vector 7 = (3.0 m)î – (1.0 m)ĵ. If ř and P are working in Y and – Z direction respectively, what would be the direction of force?arrow_forwardA pendulum of length L = 1.0 meter and bob of mass m = 1.0 kg is released from rest at an angle θ = 30 degrees. When the pendulum reaches the vertical position, the bob strikes a cube with mass M = 3.0 kg that is resting on a frictionless table of height h = 0.85 m. d. Determine how far away from the bottom edge of the table, Δx, the cube will strike the floor e. At the location where the cube would have struck the floor, there is now a small cart of mass M = 3.0 kg and negligible height. The cube lands on the cart, and sticks to the cart in a completely *inelastic* collision. Ignore friction. Calculate the horizontal velocity of the cart just after the cube lands on it.arrow_forwardAsap plxxxxxarrow_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 Learning
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