Question 1 A 2.00 kg particle has the xy coordinates (-1.28 m, 0.164 m), and a...
A 2.70 kg particle has the xy coordinates (-1.22 m, 0.504 m), and a 4.64 kg particle has the xy coordinates (0.580 m, -0.526 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 3.98 kg particle such that the center of mass of the three-particle system has the coordinates (-0.0990 m, -0.170 m)?
Three particles lie in the xy plane. Particle 1 has mass m1 = 6.7 kg and lies on the x-axis at x1 = 4.2 m, y1 = 0. Particle 2 has mass m2 = 5.1 kg and lies on the y-axis at x2 = 0, y2 = 2.8 m. Particle 3 has mass m3 = 3.7 kg and lies at the origin. What is the magnitude of the net gravitational force on particle 3?
Two forces F1 = (-6i - 4j) N and F2 = (-3i + 7j) N act on a particle of mass 2.00 kg that is initially at rest at coordinates (-2.00 m, 4.00 m). What are the coordinates of the particle at time t = 10 s?
A 1.96-kg particle has a velocity (2.08 î − 3.07 ĵ) m/s, and a 3.05-kg particle has a velocity (1.08 î + 5.96 ĵ) m/s. (a) Find the velocity of the center of mass. (b) Find the total momentum of the system.
Current Attempt in Progress At the instant of the figure, a 5.60 kg particle Phas a position vector 7 of magnitude 8.20 m and angle 8; - 47.0% and a velocity vector 7 of magnitude 1.30 m/s and angle - 32.0°. Force F. of magnitude 8.60 N and angle 0, -32.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.60 s, the particle's velocity is vector v = (8.90 i + 7.70 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.70 s, the particle's velocity is vector v = (7.40 i + 6.90 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
In the instant of the figure, two particles move in an xy plane. Particle Pi has mass 1.83 kg and speed vi-6.08 m/s, and it is at distance d1 = 8.15 m from point O. Particle P2 has mass 1.68 kg and speed v2 = 4.95 m/s, and it is at distance d2 6.86 m from point o. what is the magnitude of the net angular momentum of the two particles about Pi P2 Number Units
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Vectors A and B lie in an xy plane. A has magnitude 5.2 and angle 121°; B has components B - -8.80 and By - -5.09. (a) What is 5A-B ? what is 4A x 38 in unit-vector notation ((b), (c) and (d) for i , j and k components respectively)? (e) what is the angle between the directions of A and 4A x 38 7 what is A + 3.00k in unit-vector notation (), (a)...
The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 3.49 μC,
x1 = 3.80 cm, y1 = 0.165 cm
and q2 = -5.05 μC, x2 =
-2.87 cm, y2 = 2.08 cm. Find the
(a)magnitude and (b) direction
(with respect to +x-axis in the range (-180°;180°]) of the
electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge
q3...