An inelastic collision occurs between a particle of mass 1.5 kg moving with an initial velocity of v = (−2ˆi − 1.3ˆj + 0.7kˆ) m/s and another particle of mass 0.8 kg that has an initial velocity of v = (5.6ˆi + 0.5ˆj + 4.3kˆ) m/s. What is the final velocity of the particles in unit vector notation?
Q: A 4.3-kg model rocket is launched, shooting 55.8 g of burned fuel from its exhaust at an average…
A: Given: Mass of model rocket M=4.3 kg Mass of burned fuel m=55.8 g=0.0558 kg Average speed of burned…
Q: A 45 kg boy jumps on a stationary cart with luggage. The velocity of the boy when he jumps is 5.3…
A: Using the conservation of momentum, m1u1+m2u2=m1+m2vm1u1=m1+m2v u2=0v=m1u1m1+m2
Q: An elephant with a mass 2930 kg is running with a speed of 32.3 km/h, and a cheetah with a mass of…
A:
Q: Two objects are moving towards each other on a horizontal, frictionless surface. The first has a…
A:
Q: A ball with mass mj = 1.21 kg is initially travelling to the right with a speed u = 4.12 m/s. It…
A:
Q: A ball of mass m is traveling horizontally on a frictionless surface with initial speed vo as it…
A:
Q: Consider a system that consists of two balls and whose momentum is conserved. Ball A whose mass is 2…
A: Here given the two ball whose momentum is conserved. Ball A of mass2 kg and speed 50 m/s and ball B…
Q: A space probe is traveling in outer space with a momentum that has a magnitude of 7.00 x 107 kg·m/s.…
A:
Q: Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo, New…
A: We are given the mass of Olaf and ball. We are given initial velocity of ball. We find the final…
Q: A toy car having mass m = 1.15 kg collides inelastically with a toy train of mass M = 3.70 kg.…
A:
Q: Consider a particle A of mass ma = 10 kg moving at a velocity t = 3 i +3 j m/s and a particle B of…
A: The change in the x-component of the linear momentum (in kgms-1).given,mA=10 kgv→Ai=3i^+3j^…
Q: Two objects with masses represented by m, and m, are moving such that their combined total momentum…
A: Given data The magnitude of the combined total momentum is: P = 16.2 kg.m/s The angle of the…
Q: space probe is traveling in outer space with a momentum that has a magnitude of 5.09 x 107 kg·m/s. A…
A:
Q: Two skaters collide and grab on to each other on frictionless ice. One of them, of mass 70.0 kg, is…
A: Since the two skaters skate on frictionless ice, then there is no external net force on the…
Q: A baseball of mass 0.145 kg is thrown at a speed of 33.0 m/s. The batter strikes the ball with a…
A:
Q: A block with mass M = 5.65 kg is sliding in the positive x-direction at V, = 8.40 m/s on a…
A: The given values are,
Q: Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are…
A:
Q: A 180-g billiard ball is shot toward an identical ball at velocity vi = 7.80i m/s. The identical…
A: Initial velocity and final velocity of the first ball are given as,
Q: A mass A of mA = 6.00 kg slides across the ice in the + x direction at a speed of 4.00 m/s. It…
A: Given: The mass of A is 6 kg. The mass of B is 9 kg. The initial speed of the A is 4 m/s in…
Q: For a system of three particles moving along a line, an observer in a laboratory measures the…
A: The objective of the question is to find the velocity of the center of mass (CM) of a system of…
Q: A system consists of a 3 kg block moving with velocity ‹ 12, 9, 0 › m/s and a 7 kg block moving with…
A:
Q: During a fireworks display, a 0.270-kg bottle rocket approaches the top of its trajectory and…
A:
Q: alpha particle is scattered at angle 0₁ = 70.4° and the oxygen nucleus recoils with speed 1.60 x 105…
A: Mass of alpha particle or particle 1 is m1=4 u Mass of particle 2 is m2=16 u Scattering angle of…
Q: During a circus act, a performer thrills the crowd by catching a cannon ball shot at him. The cannon…
A: (a) Apply principle of conservation of momentum m1v1=m1+m2v Rearrange in terms of recoiling speed…
Q: Two identical balls undergo a collision at the origin of coordinates. Before collision, their scalar…
A:
Q: An unstable atomic nucleus of mass 1.50 x 10-26 kg initially at rest disintegrates into three…
A:
Q: A missile of mass 1.20 x 102 kg is fired from a plane of mass 5.40 x 103 kg initially moving at a…
A: Given, A missile of mass: mm =1.20 x 102 kg A plane of mass: mp =5.40 x 103 kg Moving at a speed:…
Q: Two asteroids collide and stick together, as indicated in the diagram. Asteroid 1 has mass m1=m1=…
A:
Q: During a fireworks display, a 0.300-kg bottle rocket approaches the top of its trajectory and…
A: Use the conservation of momentum along the X direction.
Q: Two objects collide and stick together. Initially, object A has a mass of 6.0 kg and a velocity of…
A: Given Data The mass of the object A is: mA=6 kg The velocity of object A is:v→A=2.7i^ m/s The mass…
Q: A toy car having mass m = 1.25 kg collides inelastically with a toy train of mass M = 3.65 kg.…
A: (a)From the conservation of momentum of the car and train system,Substitute the values,
Q: A nucleus, initially at rest, decays radioactively, leaving a residual nucleus. In the process, it…
A:
Q: A 4.0 kg mess kit sliding on a frictionless surface explodes in two different sized parts, one has a…
A: We can calculate the original velocity by applying conservation of momentum. This states that…
Q: A comet is traveling through space with a speed of 3.10 ✕ 104 m/s when it collides with an asteroid…
A: Given data: Speed of comet (v1) = 3.10 × 104 m/s Speed of asteroid (v2) = 0 m/s Mass of comet (m1) =…
Q: A BB gun is fired at a cardboard box of mass m2 = 0.75 kg on a frictionless surface. The BB has a…
A: Given data : Mass of card board box, m2 = 0.75 kg (at rest) Mass of…
Q: In the figure, mass m1=10.0 kg is moving at a speed of Vi1 undergoes a collision with mass m2 = 7.00…
A:
Q: A space probe is traveling in outer space with a momentum that has a magnitude of 3.04 x 107 kg·m/s.…
A:
Q: A 2.10 kg "particle" traveling with velocity = (3.7 m/s )i collides with a 4.70 kg "particle"…
A: We know that two particles collied each other and after a collision, they connect. let the mass of…
Q: A particle with an initial linear momentum of 5.18 kg · m/s directed along the positive x-axis…
A: Apply the conservation of momentum in the direction of the x-axis. ∑Pix=∑Pfx5.18+0=7.77…
Q: 10. An object (A) of mass mA = 17.5 kg is moving due west with a speed VA = 8.10 m/s, while object…
A:
An inelastic collision occurs between a particle of mass 1.5 kg moving with an initial velocity of v = (−2ˆi − 1.3ˆj + 0.7kˆ) m/s and another particle of mass 0.8 kg that has an initial velocity of v = (5.6ˆi + 0.5ˆj + 4.3kˆ) m/s. What is the final velocity of the particles in unit vector notation?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- For a system of three particles moving along a line, an observer in a laboratory measures the following masses and velocities. What is the velocity of the CM of the system? Enter a positive value if the velocity of the CM of the system is in the +x direction and enter a negative value if the velocity of the CM of the system is in the –x direction. Mass (kg) vx (m/s) 3.40 265 5.0 −120 2.0 +52An pickup truck with mass 1.85 103 kg is traveling eastbound at +14.7 m/s, while a compact car with mass 8.55 102 kg is traveling westbound at -14.7 m/s. (See figure.) The vehicles collide head-on, becoming entangled. (a) Find the speed of the entangled vehicles after the collision. (b) Find the change in the velocity of each vehicle. Δvtruck= ? m/s Δvcar= ? m/sA watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 23 m/s. The third piece has three times the mass of the other two pieces. Write an expression for the speed of the larger piece, that is in terms of only the variable V. What is the numeric value for the speed of the larger piece, in meters per second? At what angle does the largest piece travel with respect to the -y axis, in degrees?
- Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 1.1 m/s and a mass of 0.35 kg. Cart 2 has a mass of 0.60 kg. (A) If the total momentum of the system is to be zero, what is the initial speed of Cart 2 in meters per second? (B) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? (C) Determine the system's kinetic energy in joules in order to substantiate your answer to part (b).A mass of m1= 4 kg moving with a velocity of v1=(2 m/s)ˆi (positive x−direction) collides with another mass, m2 moving at v2= (−4 m/s)ˆi (negative x−direction). The masses collide and stick together, moving off with a velocity of v= (−2 m/s)ˆi. What is m2? A)m2= 4 kg B)m2= 8 kg C)m2= 12 kg D)m2= 16 kgIn the figure, projectile particle 1 is an alpha particle and target particle 2 is an oxygen nucleus. The alpha particle is scattered at angle 0₁ = 72.2° and the oxygen nucleus recoils with speed 1.60 x 105 m/s and at angle 0₂ = 47.0°. In atomic mass units, the mass of the alpha particle is 4.00 u and the mass of the oxygen nucleus is 16.0 u. What are the (a) final and (b) initial speeds of the alpha particle? m₁ Đ Vli m₂ 0₁ Vof x
- Two hydrogen molecules (H2H2 ) in the Sun’s gases are moving in opposite directions with the same speed, as shown in the figure, when they collide and bounce off one another. Each molecule has a mass of 3.3×10−27kg3.3×10−27kg and a speed before the collision of 8.5×103m/s8.5×103m/s. What are the magnitudes of the momentum and kinetic energy of the two-molecule system after the collision?A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.60 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.35 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.60 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.90 m/s. Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE. ------ joulesA toy car having mass m = 1.20 kg collides inelastically with a toy train of mass M = 3.90 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.30 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.90 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.05 m/s. (a) Determine Vf, the final velocity of the toy train.m/s(b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE. J Question 6.1b:A block with mass M = 5.50 kg is sliding in the positive x-direction at Vi = 8.85 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.30 kg. Determine the velocities, Vf and vf, of the objects after the collision. Vf = m/s vf = m/s
- Two identical hockey pucks, each with a mass of 156 grams, are sliding along a frictionless sheet of ice. One puck is moving to the right at 12.5 m/s and the other is moving to the left at 12.5 m/s. What is the magnitude of the total momentum of the two pucks (in kg - m/s)?A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.60 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.35 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.60 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.90 m/s. Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE. ------ joulesA missile of mass 1.05 102 kg is fired from a plane of mass 5.20 103 kg initially moving at a speed of 2.50 102 m/s. If the speed of the missile relative to the plane is 1.11 103 m/s, what is the final velocity of the plane?