The vector position of a 3.50-g particle moving in the xy plane varies in time according to r rightarrow = (3i^ + 3j^ )t + 2j^ t2,where t is in seconds and r rightarrow is in centimeters. At the same time, the vector position of a 5.50-g particle varies asr2 rightarrow = 3i^ - 2i^t2 - 6j^ t. At t = 2.50 s, determine (a) the vector position of the center of mass, (b) the linear momentum of the system, (c) the velocity of the center of mass,(d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

A: a) So, the x component of R is  Rx=Ix+Zx+Ax+LxRx=20cos45+-14+-12.5 sin…

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A:

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A: Given:Velocity in y-direction, vy = 19.1 m/sAcceleration in x- direction, ax = 0.282 m/s2Initial…

Q: Two astroids are flying through outer space, in the directions shown below. Astroid A moves at VA =…

A: Solution: vA = 2.8x104 m/s vB = 2.4x104 m/s mA = 2.9x1021 kg mB = 3.1x1021 kg

Q: A pinball bounced around its machine before resting between two bumpers. Before the ball came to…

A: v1→ = 83 cm @90o v2→ = 57 cm @157ov3→ = 69 cm @227o

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Q: Consider three displacement vectors A* = (3x - 3ý ) m, B* = ( – 4ỹ ) m,and C* = (-2x + 5ý ) m. The…

A: The displacement vectors are given as A→=3x^-3y^ mB→=x^-4y^ mC→=-2x^+5y^ m

Q: Note that the angles start from zero and increase to 360°. By convention, angles are given relative…

A:

Q: Q.1: A ball is fired from the top of a 40 m tall building. If the ball is fired with an initial…

A: force = F = 3i + 4 j+0k initial position = ( 0,0,0) final position = (2,1,3)

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Q: 1) A golf ball (mass = 47 grams) rolls with speed of 0.30 m/s toward the edge of a table which is…

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A: Problem can be solved via Newton's law of Motion.

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A: Given:Horizontal velocity of the stone, v0 = 12.0 m/sHeight of the cliff, h = 73 m

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Q: student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of…

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A:

Q: Determine (a) the vector position of the center of mass of the system, (b) the linear momentum of…

A: (a)

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A: Please see the answer below.

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Q: Two bascball players Bert and Casey would like to practice pitching and catching. Bert throws the…

A: initial height = 1.76 m Launch angle = 30oInitial speed = 22 ms

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A: distance of police car from intersection (dp) = 710 m distance of motorist from intersection (dM) =…

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Q: For the following three vectors, what is  2⋅C→⋅(3A→×B→)? A=300i+300j-300k B=-300i+3.00j+4.00k…

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Q: A space vehicle is coasting at a constant velocity of 20.5 m/s in the +y direction relative to a…

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Q: 4. A plane traveling at 192 km/h [N] is blown eastward by the wind with a speed of 56.0 km/h. What…

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Q: Two bascball players Bert and Casey would like to practice pitching and catching. Bert throws the…

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Q: A space vehicle is coasting at a constant velocity of 17.8 m/s in the +y direction relative to a…

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A:

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Q: In a tournament, three boys A, B, and C trying to throw a ball into a basket ( as shown in figure…

A: Given data- A: x(t)=5t+40; y(t)=32-2t2 B: x(t)=5t+10; y(t)=32-5t2 C: x(t)=5t+15; y(t)=32-5t2

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.