Problem 3: A baseball of mass m₁ = 0.38 kg is thrown at another ball hanging from the ceiling by a length of string L=1.1 m. The second ball m₂ = 0.99 kg is initially at rest while the baseball has an initial horizontal velocity of V₁ = 3.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). Randomized Variables

Problem 3: A baseball of mass m₁ = 0.38 kg is thrown at another ball hanging from the ceiling by a length of string L=1.1 m. The second ball m₂ = 0.99 kg is initially at rest while the baseball has an initial horizontal velocity of V₁ = 3.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). Randomized Variables

Name: answer part b only. thank u Problem 3: A baseball of mass m₁ = 0.38 kg
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: answer part b only. thank u Problem 3: A baseball of mass m₁ = 0.38 kg is thrown at another ball hanging from theceiling by a length of string L = 1.1 m. The second ball m₂ = 0.99 kg is initially at rest while thebaseball has an initial horizontal ve

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.35P

See similar textbooks

Similar questions

A student of mass m1= 57 kg stands on a long cart of mass m2=135 kg initially at text. He begins to run in the cart with a speed relative to the ground of v1=3.3 m/s. Randomized Varibles M1= 57 kg M2= 135 Kg V1= 3.3 m/s (A) write an expression for the horizontal component of the carts velocity relative to the ground while the student is running, in terms of the variables given in the problem statement. Assume the student is running in the positive X direction. (B) what is the velocity in meters per second? (C) what is the horizontal component of the students velocity relative to the cart, in meters per second? Use a coordinate system fixed to the cart which has the same orientation for the X axis as a system fix to the ground we defined in part (a).
A mass mA = 1.8 kg , moving with velocity v⃗A = (3.4i + 6.0j − 2.0k) m/s , collides with mass mB = 5.0 kg , which is initially at rest. Immediately after the collision, mass mA = 1.8 kg is observed traveling at ′ˆˆ velocity v⃗ A = (−1.0 i + 3.2k) m/s . Find the velocity of mass mB after the collision. Assume no outside force acts on the two masses during the collision. Enter the x , y , and z components of the velocity separated by commas. Express your answer to two significant figures.
A golf ball m = 0.11 kg strikes a vertical concrete wall elastically with a horizontal velocity of v = 23 m/s. Randomized Variables: m = 0.11 kgv = 23 m/s (a) Write an expression for the magnitude of the impulse I experienced by the ball. (b) If the ball was in contact with the wall for t = .1s, what is the magnitude of the force F the ball experienced in N? (c) If the ball rebounds with only half the velocity it comes in with, what is the magnitude of the impulse in kg m/s? (d) Determine the magnitude of the change in kinetic energy in the above situation. Give your answer in joules.
A student standing on a stationary skateboard tosses a textbook with a mass of mb = 1.8 kg to a friend standing in front of him. The student and the skateboard have a combined mass of mc = 113 kg and the book leaves his hand at a velocity of vb = 4.36 m/s at an angle of 34° with respect to the horizontal.Randomized Variablesmb = 1.8 kgmc = 113 kgvb = 4.36 m/sθ = 34°Calculate the magnitude of the velocity of the student, vs, in meters per second. What is the magnitude of the momentum, pe, which was transferred from the skateboard to the the Earth during the time the book is being thrown (in kilogram meters per second)?
An object of mass m1=2 kg moving with velocity 12 m/s, collides head-on with an object whose mass is m2=6 kg and velocity is 1 m/s. Given that the collision is elastic, what are the final velocities of the two objects. Neglect friction.
The following figure shows two particles of masses m1 and m2, with velocities before the collision of magnitude v1 and v2. If the collision is perfectly elastic, find the magnitude of the velocities v1' and v2' after the collision and the angle of incidence θ (theta), as a function of the masses and velocities before the collision.
Starting with equations m1v1 =m1v′1 cos θ1+m2v′2 cosθ2 and 0 =m1v′1 sinθ1+m2v′2 sinθ2 for conservation of momentum in the x- and y-directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, 1/ 2mv 12 = 1 /2mv′12+1 /2mv′22+mv′1v′2 cos( θ1−θ2).
A baseball of mass m1 = 0.34 kg is thrown at a concrete block m2 = 7.5 kg. The block has a coefficient of static friction of μs = 0.76 between it and the floor. The ball is in contact with the block for t = 0.105 s while it collides elastically. The force of interaction between the block and the ball is constant for the duration of their collision. Randomized Variables m1 = 0.34 kgm2 = 7.5 kgμs = 0.76t = 0.105 s a. Write an expression for the minimum velocity the ball must have, vmin, to make the block move. b. What is the velocity in m/s?
An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.2 ✕ 106 m/s.Another particle, of mass m2 = 9.0 ✕ 10−27 kg,moves in the positive x-direction with speed v2 = 3.0 ✕ 106 m/s.Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-30 m/s) and a second piece, also of mass m, moves with velocity (-30 m/s) . The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction of the velocity of the third piece?
An unstable nucleus of mass 1.7 × 10–26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 5.0 × 10–27 kg, moves in the positive y - direction with speed v1 = 6.0 × 106 m/s. Another particle, of mass m2 = 8.4 × 10–27 kg, moves in the positive x - direction with speed v2 = 4.0 × 106 m/s. Find the magnitude and direction of the velocity of the third particle.
Initially resting in the xy coordinate plane's center, an item erupts into three parts. Immediately after the explosion, a piece of mass 2m travels with a velocity of v in the negative x direction, while another piece of mass 3m moves with the same velocity in the negative y direction. The third component has a mass of 4m. i. immediately after the explosion, what is the magnitude of the third particle's velocity in terms of the above variables? Beginning with momentum conservation is a good place to start. ii. Immediately after the explosion, what is the direction of motion of the third piece (as an angle relative to the positive x axis)?