At time t-0, a 4.61 kg particle has position vector 7= (5.00 m )7-(6.00 m) relative to the origin. Its velocity is given by 7=(-1.35² m/s) for t in seconds. About the origin with t-12.8s, what are (a) the particle's angular momentum and (b) the torque acting on the particle, both in unit-vector notation? (a) Number i (b) Number Units Units
Q: A spaceship of mass 110 kg is going to use a planet for a gravitational assist - that is, use the…
A: Given, Mass of spaceship, m=110kg Velocity, v=230m/s φ0=65° Distance, d=10200×103m a. Angular…
Q: Determine the magnitude of the angular momentum of a 100-kg particle when the position vector r =…
A: mass of particle = 100 kg position vector = 4i^ - 6j^ mvelocity = 3i^ - 8k^ m/s
Q: Two particles, each of mass 2.75 × 104 kg and speed 7.10 m/s, travel in opposite directions along…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: A sanding disk with rotational inertia 1.7 x 10-3 kg · m² is attached to an electric drill whose…
A:
Q: A 2.25-kg particle moves at constant speed of 3.75m/s along a straight line. What is the magnitude…
A: The expression for the angular momentum is written as, Here, m, v and r represent the particle’s…
Q: Relative to the origin of an x-y coordinate system, a particle is located at ?⃗ = 4.00 m ?̂+ 7.00 m…
A: r→ = 4i^ + 7j^ mp→ = 5i^ - 2j^ kgm/s
Q: Two particles, each of mass 3.39 × 10-4 kg and speed 4.32 m/s, travel in opposite directions along…
A: Given: particle 1, m1= 3.39×10-4 kg speed, v1=4.32 m/s particle 2, m2=3.39×10-4 kg speed, v2=4.32…
Q: At the instant of the figure, a 6.90 kg particle P has a position vector i of magnitude 6.00 m and…
A:
Q: At one instant, force F = 1.61 N acts on a 0.215 kg object that has position vector 7 = (8.77î –…
A:
Q: From classical physics, we know that angular momentum, moment of inertia, and angular velocity are…
A: Concept:As mentioned in the Question the relationship between angular momentum, a moment of inertia,…
Q: At time t = 0, a 5.44 kg particle has position vector 7= (6.00 m)-(3.00 m) relative to the origin.…
A:
Q: = (8.55 N )i – (9.95 N Jk acts on a pebble with position vector = (6.87 m )j – m )k, relative to the…
A: Torque τ = r̅ × F̅
Q: A particle is acted on by two torques about the origin: t1 has magnitude of 2.0 Nm and is directed…
A:
Q: At a particular instant, a 1.0 kg particle's position is r = (6.0f - 5.0j + 3.0k) m, its velocity is…
A: Please see the answer below.
Q: V) coordinates of (6.09, -5.15) m. Just then, in unit-vector notation, what is its angular momentum…
A:
Q: A particle is acted on by two torques about the origin: 7 1 has a magnitude of 2.5 N-m and is…
A:
Q: The position vector of a 2.5 kg particle is given by r=4.0 i +3.0 fĵ, where r is in meters and t is…
A:
Q: A 6.22 kg particle with velocity v = (9.72 m/s)î – (8.99 m/s)ĵ is at x = 2.96 m, y = 5.29 m. It is…
A: m = 6.22 kg v→= 9.72 m/si ^ - 8.99 m/sj ^ x = 2.96 m y = 5.29 m r→ = 2.96 mi^ + 5.29 mj^ F = 5.05 N…
Q: A particle of mass m is dropped at the point (−d, 0) and falls vertically in Earth’s gravitational…
A:
Q: A 10.0 kg toy car moves along an x axis with a velocity given by v = -7.89t³ i m/s, with t in…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in…
A: a) The torque will be,
Q: y 00
A: First we calculate angular momentum and directions or velocity or distance Angular momentum=…
Q: What is the magnitude of angular momentum (in 106 kg.m²/s) of the F-16 at time = 2 s. Assume the…
A: Moment of Inertia The moment of inertia of a rigid body about an axis is defined as the sum of the…
Q: A 5.37 kg toy car moves along an x axis with a velocity given by v→ = -4.65t3 î m/s, with t in…
A: Given that ---- v→ = -4.65t3 î m/s For t > 0-- (a) the angular momentum L→ of the car and (b)…
Q: A 1.50 kg mass moves in the x and y plane according to vector r = (6t^3+t)i+ (15t^2 + 3)j (relative…
A:
Q: Kim is spinning on the ice at 1146°/s about her longitudinal axis when she abducts her arms…
A: Calculate the initial angular velocity.
Q: A space of mass 120 kg is going to use a planet for a gravitational assist- that is, use the…
A:
Q: A particle of mass 4.0 kg has position vector of (4.0i+3.0j) at a particular instant of time when…
A: mass m= 4 kg x=4i+3j v=3i mv=12i
Q: The angular momentum of a sphere is given by L = (−5.00t3) + (6.10 − 1.80t2) + (6.95t), where L…
A:
Q: A person who walks through the revolving door exerts a horizontal force of magnitude F-62 N on one…
A:
Q: A 1.91 kg particle-like object moves in a plane with velocity components vx = 78.6 m/s and vy = 91.3…
A:
Q: At one instant, force F 1.49ĵ N acts on a 0.982 kg object that has position vector 7 = (5.89î –…
A:
Q: A 9.81 kg particle with velocity = (1.75 m/s )î – (9.01 m/s )j is at x = 2.77 m, y = 6.88 m. It is…
A: Given data- mass of particle m=9.81 kg velocity v→=1.75 m/si^-9.01 m/sj^ position vector r→=2.77…
Q: The disk with mass m = 2.5 kg and radius r= 20 cm rotates like a merry-go-round under the torque…
A:
Q: An object with mass=1.0kg is projected vertically up with speed vo=10 m/s from a point with…
A: Basic Details The change in the angular momentum is the difference between the final and the initial…
Q: wo particles, each of mass 3.21 x 10-4 kg and speed 6.81 m/s, travel in opposite directions along…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
- A system consists of three identical 5-kg particles A, B, and C. Their position vectors (in meter) and velocity vectors (in m/s) are r, = (0,0,3), v, = v j,r, = (2,2,3), v, = v,i, and r. = (1,4,0). v. = v k, respectively. Knowing that the angular momentum of the system about point O is H, = -1.5k kg m s, determine (a) the velocities of the particles, (b) the angular momentum of the system about its center of mass G.Assume that (1) F = 10i +60j - 20k, acting at a point (8, 6, 4), and (2) two end points of a line L are A (2, 0, 4) and B (-7, 6, 2), respectively. Determine the moment of the force F about the line L. In the figure (a) is a force F and line L. (b) is the position vector r from A to the point of application of F.In a long jump, an athlete sweeps one of her arm clockwise through 0.5 revolution and the other arm sweeps counterclockwise through 1.0 revolution in 0.7s. Treat each arm as a thin rod of mass 3.0. kg and length 0.5m rotating around one end. In the athlete’s reference frame, calculate the magnitude of the total angular momentum of the arms around the common rotation axis through the shoulders. (given I thin rod = MR^2)
- A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the momentum of the particle at time t = 1.00 s.(b) Find the angular momentum about the origin at time t = 3.00 s.The mass of an electron is 9.0 x 10-31 kg. It revolves around the nucleus of an atom in a circular orbit of radius 4.5 m, with a speed of 8.0 x 105 m/s. What is the angular momentum of an electron?At time t, the position of a point particle of mass m = 3 kg is given by r = 4t^2i −(2t + 6t^2)jwhere r is in meters and t in seconds. (a) What is the angular momentum vector of the object at t = 5 s. (b) What is the torque vector acting on the object at t = 2
- A particle of mass m is dropped from rest at t = 0 at the point (−d, 0, 0) and falls vertically in Earth's gravitational field −gĵ. (a) What is the expression for the angular momentum of the particle about the origin? (Express your answer in vector form. Use any variable or symbol stated above as necessary.) l = (b) Calculate the torque on the particle about the origin. (Express your answer in vector form. Use any variable or symbol stated above as necessary.) τ = (c) Is the torque equal to the time rate of change of the angular momentum? Yes NoA 40-gram point mass is traveling at a velocity of v = 2.6 m/sec parallel to the x-axis along the line y = 0.2 meters. What is its angular momentum with respect to the origin?What is the angular momentum of a solid disk at t=2.5s if its mass is 0.25kg, its radius is 4m, and the torque applied to the disk is 1 N m?
- I need the answer as soon as possibleAt one instant, force: F = 5.14j N acts on a 0.297 kg object that has position vector 7 = (5.10î – 5.10k) m and velocity vector = (- 9.56i + 9.56k ) m/s .About the origin and in unit-vector notation, what are (a) the object's angular momentum and (b) the torque acting on the object? (a) Number k Units (b) Number k Units +A 1.70-kg particle moves in the xy plane with a velocity of = (4.10 1-4.00 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is F (1.50 +2.20 j) m. + j+ k) kg - m²/s