Topic - center of mass and linear
momentum:
A 15 kg package is moving at a speed of 10.0m/s vertically upward
along a y-axis when it explodes intro three fragments: a 2.00kg
fragment is shot upward with an initial speed of 20.0m/s and a 3.00
kg fragment is shot in the positive direction of a horizontal x
axis with an initial speed of 5.00m/s.
Find a) the speed of the third fragment right after the
explosion.
b) the total kinetic energ provided by the explosion.
a)
Let
M = 15 kg, V = 10 m/s
m1 = 2 kg, v1 = 20 m/s (towards +y)
m2 = 3 kg, v2 = 5 m/s (towards +x)
m3 = 15 - (2+3)
= 10 kg
Let v3 is the veloicty of m3.
Apply conservation momentum in x-direction.
M*vx = m1*v1x + m2*v2x + m3*v3x
0 = 0 + 3*5 + 10*v3x
==> v3x = -15/10
= -1.5 m/s
Apply conservation momentum in y-direction.
M*vy = m1*v1y + m2*v2y + m3*v3y
15*10 = 2*20 + 0 + 10*v3y
==> v3y = (150 - 40)/10
= 11 m/s
so, v3 = sqrt(v3x^2 + v3y^2)
= sqrt(1.5^2 + 11^2)
= 11.1 m/s <<<<<<<<<<<<<<<<<-------------Answer
b) Total kinetic energy provided by the explosion = KEf - KEi
= (0.5*m1*v1^2 + 0.5*m2*v2^2 + 0.5*m3*v3^2) - 0.5*M*V^2
= 0.5*2*20^2 + 0.5*3*5^2 + 0.5*10*11.1^2 - 0.5*15*10^2
= 303.55 J <<<<<<<<<<<<<<<<<-------------Answer
Topic - center of mass and linear momentum: A 15 kg package is moving at a...
lems Chapter 14 A 6-kg shell moving with a velocity vo (12 misi-9 m/sj 360 mslk explodes at Point Dinto three fragments A B and Cof mass, respectively, 2 kg. 1 kg. and 3 kg. Knowing that the fragments hit th e vertical wall at the points indicated, determine the speed of each fragment immediately after the explosion. Assume that elevation changes due to gravity may be neglected. 1.5 m 2 n 3 4 m The speed of fragment A...
A 50.0 kg body is moving in the direction of the positive x axis with a speed of 384 m/s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 9.0 kg, moves away from the point of explosion with a speed of 353 m/s along the positive y axis. A second fragment, whose mass is 5.0 kg, moves away from the point of explosion with a speed of 313 m/s along the negative...
25% 2. A 7 kg shell moving with a velocity ve = (600 m/s) k explodes at Point C into two fragments A, and B of mass, 4 kg and 3 kg, respectively. Knowing that the fragments land at the coordinates A(-4,3,1) and B(3, -4, -2), determine the speed of each fragment immediately after the explosion. Assume that elevation changes due to gravity may be neglected. y+ Al43,) -4m B(3-1,2) -3m Clo,0,6) 6 m.
Q5 A 21.0 kg body is moving in the direction of the positive x axis with a speed of 100.0 m/s when, owing to an internal explosion, it breaks into three parts. One part, whose mass is 7.00 kg, moves away from the point of explosion with a speed of 180 m/s in the direction of the positive y axis. A second fragment, with a mass of 4.00 kg, moves in the direction of the negative x axis with a...
(a) Find the linear momentum and kinetic energy of a bullet of mass 4.90 10-2 kg moving at a speed of 315 m/s. linear momentum = kinetic energy = (b) Find the linear momentum and kinetic energy of a football player of mass 110 kg moving at a speed of 10.0 m/s. linear momentum = kinetic energy = (c) Find the linear momentum and kinetic energy of a truck of mass 1.00 104 kg moving at a speed of 20.5...
kg m/s hits a nomentum of the ball is(5 wall and bounces straight back with the sam B. +4.0 kg-m/s C8.0kgm/s. Questions 2, 3; A 6.0 kg object moving north at a speed of 3.0 m/s, collides with a 4.0kg objot moving sous D.-8.0kgm/s Enone of the with speed of 6.0 m/s. On collision, the two objects stick togetber and move s one cbject 2. The magnitude of the sum of the linear momentum of the two objects just aher...
A 15 kg body is moving through space in the positive direction of an x axis with a speed of 110 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 7.9 kg, moves away from the point of explosion with a speed of 150 m/s in the positive y direction. A second part, with a mass of 4.0 kg, moves in the negative x direction with a speed of 530 m/s....
PHYSICS 30 MOMENTUM AND IMPULSE Q9 ASSIGNMENT A. MOMENTUM AND IMPULSE a. C. 1. Use the concept of Impulse to describe one advantage of seatbelts. 2. A 5.00 kg mass is moving with a velocity of 3.50 m/s. A force of 4.00 N acts on the object increasing its velocity (in the same direction) to 12.5 m/s. Determine Change in momentum b. Impulse the mass experiences Time interval that the force was applied for 3. A 15.0 kg object is...
A blue car with mass mc = 481 kg is moving east with a speed of vc = 23 m/s and collides with a purple truck with mass mt = 1289 kg that is moving south with a speed of vt = 10 m/s . The two collide and lock together after the collision. *What is the magnitude of the initial momentum of the car? *What is the magnitude of the initial momentum of the truck? *What is the magnitude...