A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector r Overscript right-arrow EndScripts = (2.00 m) i Overscript ̂ EndScripts - (3.00 m) j Overscript ̂ EndScripts + (2.00 m) k Overscript ̂ EndScripts, the force is Upper F Overscript right-arrow EndScripts = Fx i Overscript ̂ EndScripts + (7.00 N) j Overscript ̂ EndScripts - (6.00 N) k Overscript ̂ EndScripts, and the corresponding torque about the origin is tau Overscript right-arrow EndScripts = (4.00 N·m) i Overscript ̂ EndScripts + (12 N·m) j Overscript ̂ EndScripts + (14 N·m) k Overscript ̂ EndScripts. Determine Fx.
A particle moves through an xyz coordinate system while a force acts on the particle. When...
A particle moves through an xyz coordinate system while a force acts on the particle. When the particle has the position vector r = (2.00 m) - (3.00 m) + (2.00 m) , the force is F = Fx + (7.00 N) - (6.00 N) , and the corresponding torque about the origin is T = (4.00 N·m) + (10.0 N·m) + (11.0 N·m) . Determine Fx. We were unable to transcribe this imageWe were unable to transcribe this imageWe...
1) Force F =(-8.00 N){+(6.00 N) j acts on a particle with position vector r = (3.00 m)i +(4.00 m)j. What are (a) the torque on the particle about the origin, in unit-vector notation, and (b) the angle between the directions of r and F?
A particle leaves the origin with an initial velocity v Overscript right-arrow EndScripts equals left-parenthesis 8.47 i Overscript ̂ EndScripts right-parenthesis m divided by s and a constant acceleration a Overscript right-arrow EndScripts equals left-parenthesis negative 1.24 i Overscript ̂ EndScripts minus 4.99 j Overscript ̂ EndScripts right-parenthesis m divided by s Superscript 2. When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector?
Here are two vectors: a Overscript right-arrow EndScripts equals left-parenthesis 4.00 m right-parenthesis i Overscript ̂ EndScripts minus left-parenthesis 3.00 m right-parenthesis j Overscript ̂ EndScripts and b Overscript right-arrow EndScripts equals left-parenthesis 6.00 m right-parenthesis i Overscript ̂ EndScripts plus left-parenthesis 8.00 m right-parenthesis j Overscript ̂ EndScripts. What are (a) the magnitude and (b) the angle (counterclockwise from the axis defined by i Overscript ̂ EndScripts) of a Overscript right-arrow EndScripts? What are (c)...
How to solve this problem ? : A big olive (m = 0.14 kg) lies at the origin of an xy coordinate system, and a big Brazil nut (M = 0.48 kg) lies at the point (0.79, 2.2) m. At t = 0, a force Upper F Overscript right-arrow EndScripts Subscript 0 Baseline equals left-parenthesis 2.4 i Overscript ̂ EndScripts plus 4.1 j Overscript ̂ EndScripts right-parenthesis N begins to act on the olive, and a force Upper F Overscript...
The position ModifyingAbove r With right-arrow of a particle moving in an xy plane is given by ModifyingAbove r With right-arrow equals left-parenthesis 3.00 t cubed minus 4.00 t right-parenthesis ModifyingAbove i With caret plus left-parenthesis 5.00 minus 1.00 t Superscript 4 Baseline right-parenthesis ModifyingAbove j With caret with ModifyingAbove r With right-arrow in meters and t in seconds. In unit-vector notation, calculate (a)ModifyingAbove r With right-arrow, (b)v Overscript right-arrow EndScripts, and (c)a Overscript right-arrow EndScripts for t = 3.00...
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-32 m/s) i Overscript ̂ EndScripts and a second piece, also of mass m, moves with velocity (-32 m/s) j Overscript ̂ EndScripts. The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity...
A single conservative force acts on a 4.50-kg particle within a system due to its interaction with the rest of the system. The equation Fx = 2x + 4 describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.10 m to x = 6.55 m, calculate the following. (a) the work done by this force on the particle J (b) the change in the potential...
A force F, with components Fx = 3 N, Fy = 9N, and Fx = 3 N acts on a particle located at r, with components rx = 6 m. ry = 3 m, and rz = 3 m. What is the magnitude of the torque about the origin due to this force? Do not include units. Round your answer to the nearest whole number. Torque Magnitude = __Nm
5.A particle of charge +2.00 x 103 C is moving with velocity v (1000 m/s)j through a uniform magnetic field. The magnetic force on the particle is F = (4.00 N)i-(6.00 N)k. What is B, the z component of the magnetic field (in T)? (A) 1.00 (B) 1.50 (C) 4.00 (D) 2.00 (E) 3.00 (F) 5.00