Two objects are moving in the xy-plane. Object A has a mass of 3.2 kg and has a velocity vA = < 2.3 m/s, 4.2 m/s >...
Two objects are moving in the xy-plane. Object A has a mass of 3.2 kg and has a velocity vA = < 2.3 m/s, 4.2 m/s > and object B has a mass of 2.9 kg and has a velocity vB = < -1.8 m/s, 2.7 m/s > . What is the total momentum of the system?
A uniform sphere of radius 2R has a spherical cavity of radius R cut out of it. The center of the cavity is a distance x=-0.81R from the center of the sphere (x=0) along the x-axis. What is the position of the center of mass of the sphere, in proportion to R on x?
A ball with mass m= 0.98 kg, is attached to a horizontal cord of length l = 59 cm whose other end is fixed. A peg is located a distance h = 12 cm directly below the point of attachment of the cord. After the ball is released, what will be the tension (in N) in the cord when it just starts its circular path about the peg?
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Two objects are moving in the xy-plane. Object A has a mass of 3.2 kg and has a velocity vA = < 2.3 m/s, 4.2 m/s >...
A ball with mass m= 0.98 kg, is attached to a horizontal cord of length l...
A ball with mass m= 0.98 kg, is attached to a horizontal cord of length l = 59 cm whose other end is fixed. A peg is located a distance h = 12 cm directly below the point of attachment of the cord. After the ball is released, what will be the tension (in N) in the cord when it just starts its circular path about the peg?
Two objects (object A and object B) are moving with constant velocities (VA=30(m/s), VB=40(m/s))&nb
Two objects (object A and object B) are moving with constant velocities (VA=30(m/s), VB=40(m/s)) in the same direction. Object B is behind object A. At the moment that the distance between them is 15(m) object A accelerates with aA = 1 (m/s^2) and object B decelerates with aB = -3(m/s). Are they going to hit each other? (show your work)
A solid sphere of uniform density has a mass of 3.2 x 104 kg and a...
A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 1.3 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 7.1 kg located at a distance of (a) 5.4 m and (b) 0.38 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r s 1.3 m from...
Two bodies, A and B each of mass 2.0 kg moving with velocities vA = (2.0i...
Two bodies, A and B each of mass 2.0 kg moving with velocities vA = (2.0i ˆ + 5.0j) m/s and vB = (1.0i ˆ – 5.0j) m/s collide and stick together. After the collision, what is the velocity of the composite object?
Billiard ball A of mass mA = 0.115 kg moving with speed vA = 2.60 m/s...
Billiard ball A of mass mA = 0.115 kg moving with speed vA = 2.60 m/s strikes ball B, initially at rest, of mass mB = 0.140 kg. As a result of the collision, ball A is deflected off at an angle of 32.0 ∘ with a speed vA1 = 2.35 m/s . a) Solve for the final speed, vB, of ball B. Do not assume the collision is elastic. b) Solve for the angle, θB, of ball B. Do...
2. A small box of mass m is kept on a fixed, smooth sphere of radius...
2. A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30° with the vertical. The box is released from the position. (a) What is the force exerted by the sphere on the box just after the release? (b) Find the distance travelled by the box before it leaves contact with the sphere. 3. A particle is suspended from a fixed...
As in the figure, a uniform sphere of mass = 0.8 kg and radius r = 4.2 cm is supported by a string (of negligible mass)...
As in the figure, a uniform sphere of mass = 0.8 kg and radius r = 4.2 cm is supported by a string (of negligible mass) attached to a wall (whose friction can also be ignored). The center of the sphere is a vertical distance L = 9.5 cm below the attachment point of the string. Find the force on the sphere from the wall. Your answer should be in N, but enter only the numerical part in the box.
Four objects are placed on a light (zero mass) six meter rod. The object on the...
Four objects are placed on a light (zero mass) six meter rod. The object on the left end has a mass of 3.65 kg, and the object on the right end has a mass of 3.8 kg. A third ball has a mass of 2.9 kg, a distance of 2.2 m from the left end. Finally, a fourth ball has a mass of 2.95 kg, a distance of 2.1 m from the right end. (a) How far is the center...
Billiard ball A of mass mA = 0.130 kg moving with speed vA = 2.80 m/s...
Billiard ball A of mass mA = 0.130 kg moving with speed vA = 2.80 m/s strikes ball B, initially at rest, of mass mB = 0.140 kg . As a result of the collision, ball A is deflected off at an angle of 27.5 ∘ with a speed vA1 = 2.25 m/s . a.) Taking the x axis to be the original direction of motion of ball A, write down the equation expressing the conservation of momentum for the...
A solid copper sphere of mass M and radius R has a cavity of radius ½...
A solid copper sphere of mass M and radius R
has a cavity of radius ½ R. Inside the cavity a particle
of mass m placed a distance d > R
from the center of the sphere along the line connecting the centers
of the sphere and the cavity. Find the gravitational force on
m.
р
A solid sphere of uniform density has a mass of 3.2 x 104 kg and a radius of 1.3 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 7.1 kg located at a distance of (a) 5.4 m and (b) 0.38 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r s 1.3 m from...
2. A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30° with the vertical. The box is released from the position. (a) What is the force exerted by the sphere on the box just after the release? (b) Find the distance travelled by the box before it leaves contact with the sphere. 3. A particle is suspended from a fixed...
A solid copper sphere of mass M and radius R
has a cavity of radius ½ R. Inside the cavity a particle
of mass m placed a distance d > R
from the center of the sphere along the line connecting the centers
of the sphere and the cavity. Find the gravitational force on
m.
р
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