A 1.0 kg particle is traveling clockwise in a circular path with a radius of 5.0 m with a velocity 6.0 m/s. What is the angular momentum of the particle about the origin? (i is the unit vector in the direction of the +x axis, j is the unit vector in the direction of the +y axis, k is the unit vector in the direction of the +z axis)
A. 7.5 k
B. 30 k
C. -3.3 k
D. 3.3 k
E. -7.5 k
F. -30 k
A 1.0 kg particle is traveling clockwise in a circular path with a radius of 5.0...
A 3.0 kg particle is traveling along the line y = 2.0 m with a velocity 5.0 m/s. What is the angular momentum of the particle about the origin? (k is the unit vector in the direction of the z axis) a. 30 k b. -30 k c. -3.3 k d. 7.5 k e. 3.3 k f. -7.5 k
At time t = 0, a 4.0 kg particle with velocity v = (5.0 m/s) i - (6.0 m/s) j is at x = 6.0 m, y = 5.0 m. It is pulled by a 2.0 N force in the negative x direction. What is the angular momentum of the particle about the origin? (Express your answer in vector form.) What torque about the origin acts on the particle? (Express your answer in vector form.) At what rate is the...
9. A particle is revolving in a circular path of radius 7.3 m centered at the origin. Its speed increased uniformly from 93 m/s to 173 m/s in 2.5 seconds. Express its final net acceleration in terms of polar unit vectors. 10. A particle is revolving in a circular path of radius 8.2 m centered at the origin with a uniform acceleration. Its speed increases by 14.5 m/s every 3.2 seconds. By the time it passes point P on the circle...
There is an object, which moves in a circular path with radius of 0.367 m and angular acceleration of 0.12 rad/s a) If the object starts at rest find the time required to get angular velocity of 1.52 rad/s? (2 points) b) Find net linear acceleration of the object at the time of angular velocity of 1.32 rad/s? (4 points) At a particular instant, a 1.5 kg particle's position is r = (21-4j+6k)m, its velocity is Y = (-3i+5j +2k)...
Protons move clockwise around a circular path of radius 27 cm in a magnetic field of magnitude B = 0.25 T. Proton has a charge 1.6 x 10^-19 C. What is the magnitude of the momentum of the protons and which direction is the magnetic field pointing? Protons move clockwise around a circular path of radius 27 cm in a magnetic field of magnitude B = 0.25 T. Proton has a charge 1.6 x 10^-19 C. What is the magnitude...
A particle moves on a counter clockwise, origin-centered circular path in the x y-plane at a constant rate. The radius of the circle is r, the mass of the particle is m, and the particle completes one revolu tion in time τ a) Neatly draw the following things 1. The path of the particle 2. A dot on the path when the particle is at 00 90° and 210° where 0 is mea sured from the x-axis (posi tive counter-clockwise)...
1a. 1b. 1c. A particle is to move in an xy plane, clockwise around the origin as seen from the positive side of the z axis. In unit-vector notation, what torque acts on the particle at time t = 3.8 s if the magnitude of its angular momentum about the origin is (a)5.9 kg-m²/s, (b)5.94 kg.mp/s, (c)5.9+1/2 kg-m/53/2, and (d)5.9/t kgm2*s? (a) Numberto 0 X * (b) Number Units N.m Units N.m X (c) Number k Units Nim x X...
7. [2 points] A particle is moving at a constant speed in a circular path centered at the origin on an xy coordinate system. At one point (x=4m, y=0), the particle has a velocity of 5ġ m/s. a. State whether the particle is moving clockwise or counter-clockwise on the circular track. b. What is the constant speed of the particle throughout its circular trajectory? c. What is the acceleration (expressed as a vector) of the particle when it is at...
At one instant in time, the situation shown in the figure happens. A 7.01 kg particle P has a position vector r of magnitude 3.19 m and angle θ1 = 45° and a velocity vector v of magnitude 1.37 m/s and angle θ2 = 30°. Force F of magnitude 9.13 N and angle θ3 = 30° acts on P. All three vectors lie in the xy-plane. About the origin, what is the angular momentum of P, in kg•m2/s? Determine the...
A 1.6 kg particle moves in a circle of radius 3.1 m. As you look down on the plane of its orbit, the particle is initially moving clockwise. If we call the clockwise direction positive, the particle's angular momentum relative to the center of the circle varies with time according to L(t) = 10 N · m·s - (5.0 N · m)t. (a) Find the magnitude and direction of the torque acting on the particle in N · m. Is...