A point mass m is at rest on a horizontal plane and is attached to a point A by means of a rope of length , at an angle of 30° to the horizontal axis. A second mass M is shot at an angle of 60° from the ground towards mass m with speed v0 at an angle of 60° to the horizontal axis. When the two masses collide, M sticks to m. Both masses immediately lift off the ground on impact. 1. from what distance d from point A must M be launched to hit m? 2. What is the velocity of the masses immediately after the collision? Tip: There is conservation of momentum in the direction perpendicular to the rope. 3. To what angle 0 will the masses move upwards in a circular orbit around A (remember that the rope may not always remain taut)? m = 100 g, l = 2 m, M = 3 kg, vo = 10 m/s Vo 60° 30° M

A point mass m is at rest on a horizontal plane and is attached to a point A by means of a rope of length , at an angle of 30° to the horizontal axis. A second mass M is shot at an angle of 60° from the ground towards mass m with speed v0 at an angle of 60° to the horizontal axis. When the two masses collide, M sticks to m. Both masses immediately lift off the ground on impact. 1. from what distance d from point A must M be launched to hit m? 2. What is the velocity of the masses immediately after the collision? Tip: There is conservation of momentum in the direction perpendicular to the rope. 3. To what angle 0 will the masses move upwards in a circular orbit around A (remember that the rope may not always remain taut)? m = 100 g, l = 2 m, M = 3 kg, vo = 10 m/s Vo 60° 30° M

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Mass A, traveling at 1.5 m/s, collides with mass B, which is at rest, as shown. After the collision, mass B moves in a direction of 30 degrees relative to Horizontally, after the collision, mass A will travel at what speed?. and move in the direction at what angle to the horizon?. If mass A is equal to mass B and the coefficient of elasticity is 0.60.
Problem If a body of mass m disintegrates while at rest into two parts of rest masses m₁ and m₂, show that the energies E₁ and E₂ of parts are given by 2 m² + m₁²-m₂² 2 (E) and E₁ = c². E₂ = c². 2m 2 2 m² - m₁² + m₂² 2m
Please answer only part d
Two identaical billiard balls can move freely on a horizontal table. Ball A has a velocity 5 m/s as shown. And hits ball B, which is at rest, at point C defined by θ=45. Knowing that the coefficient of restitution between the two balls is e=0.65, determine the velocity of each ball after impact. They have equal mass of 200 g. A) V_A=0.875i+0j V_B=4.125i+0j B) V_A=0 V_B= 5i+0j C) V_A=-5i+0j V_B=3.53i+3.53j
A moving cart of mass 3.5 kg crashes into a stationary cart of mass 10.5 kg as shown. The carts are prevented from touching one another during the collision by a pair of neodymium magnets mounted on the ends of the carts and positioned for repulsion. After separating, the more massive cart moves to the right at 1.4 m/s. What are the final speed and direction of motion of the less massive cart? strong magnets Vfi VGi = 0 3.5 kg 10.5 kg Frictionless surface
y Question 3: Two particles of masses m1 and m2 move with initial velocities v1 and V2 along y and x axes, respectively as shown in Figure 3. The particles collide at the origin and stick together and then they move with some velocity. Find the angle 0 which the system of two particles makes with the horizontal in terms of m1, m2, v1, and v2- m, V1 m2 m,+ m2 e V2 Figure 3
Can you help me when this question . It is one question with three parts , I am struggling to solve
Jill threw a dodgeball completely horizontal in x-direction with velocity of +5 m/s and mass of .5 kg. At the same time her friend threw a dodgeball with the same mass in the -x direction and a velocity of -2 m/s. The balls hit each other, and Jill's ball was deflected 30° above the original path, while her friend's deflected 20⁰. below the initial path. a. Ignoring gravity, solve the velocity of each ball after the collision, using a free body diagram. b. If both balls had a magnitude of 3 m/s, how much kinetic energy was "lost" during the collision?
A fireworks rocket is launched vertically into the night sky with an initial speed of 41.6 m/s . The rocket coasts after being launched, then explodes and breaks into two pieces of equal mass 2.20 s later. If each piece follows a trajectory that is initially at 43.0 degrees to the vertical, what was their speed immediately after the explosion? What is the velocity of the rocket's center of mass before the explosion? What is the velocity of the rocket's center of mass after the explosion? What is the acceleration of the rocket's center of mass before the explosion? What is the acceleration of the rocket's center of mass after the explosion?
Yolanda is at the firing range practicing how to shoot a gun. A 12 g bullet is fired from her gun and moves vertically upwards at a velocity of 950m/s and strikes a 2kg brick which is originally at rest, as shown in the picture below. If the bullet emerges from the brick at a speed of 290m/s, help Yolanda figure out; 1. What is the The max height to which the brick rises ? 2. What is The increase in the internal energy of the bullet-brick system? 290 m/s 950 m/s
mi m2 Two masses are initially moving as shown in the diagram. Mass m1 = 6.80kg and is moving at 8.20m/s in the positive x-direction, and mass m2 = 5.70kg %3D and is moving at 9.30m/s at an angle of 12.0° to the right of the y-direction. They collide and stick together. What is the magnitude and direction of their final velocity? Show as much of your work as possible.
00 h x1 X2 18.7m 11.1m m Mid-Air Explosion A drone is flying horizontally at a speed of v¿ when a battery malfunction causes it to explode into 2 pieces. The pieces fall to Earth from a height of h due to gravity (ignore air resistance). Piece #1 has a mass of 1.00kg and lands a horizontal distance of x1 from the explosion spot. Piece #2 has a mass of 2.00kg and lands a horizontal distance of x2 from the explosion spot. 9 Vi 8.52 m S Type your answer... 1 CM 2 10 DI h x1 X2 m 10.7m 18.1m Vi 8.44m S Type your answer...