A particle moves once counterclockwise about the triangle with vertices (0, 0), (4, 0) and (1,...

A particle moves once counterclockwise about the triangle with vertices (0, 0), (4, 0) and (1, 6), under the influence of the force F=xyi+xj. Calculate the work done by this force.

Expert Solution

samet mamat answered 1 year ago

A flea moves around the vertices of a triangle in the following manner: Whenever it is...

A flea moves around the vertices of a triangle in the following manner: Whenever it is at vertex i it moves to its clockwise neighbor vertex with probability pi and to the counterclockwise neighbor with probabilityqi=1-pi,i=1,2,3 a) Find the proportion of time that the flea is at each of the vertices. b)How often does the flea make a counterclockwise move, which is then followed by 5 consecutive clockwise moves?

Part 1. Describe the boundaries of the triangle with vertices (0, 0), (2, 0), and (2,...

Part 1. Describe the boundaries of the triangle with vertices (0, 0), (2, 0), and (2, 6). (a) Describe the boundary with the top function, bottom function, left point, and right point. (b) Describe the boundary with the left function, right function, bottom point, and top point. Part 2. Consider the triangle with vertices (0, 0), (3, 0) and (6, 6). This triangle can be described using only one of the two perspectives presented above: top-bottom or left-right. Explain which...

Find the coordinates of the orthocenter of the triangle whose vertices are A(3, 1), B(0, 4) and C(-3, 1).

A particle moves in the xy plane with constant acceleration. At t = 0 the particle...

A particle moves in the xy plane with constant acceleration. At t = 0 the particle is at vector r1 = (3.6 m)i + (2.8 m)j, with velocity vector v1. At t = 3 s, the particle has moved to vector r2 = (11 m)i − (1.8 m)j and its velocity has changed to vector v2 = (4.6 m/s)i − (6.7 m/s)j. (a) Find vector v1. vector v1 = m/s (b) What is the acceleration of the particle? vector a...

A particle moves in the xy plane with constant acceleration. At t = 0 the particle...

A particle moves in the xy plane with constant acceleration. At t = 0 the particle is at r1 = (4.0 m) + (3.0 m), with velocity 1. At t = 3 s, the particle has moved to r2 = (9 m) − (2.0 m) and its velocity has changed to v2 = (5.0 m/s) − (6.0 m/s). i. Find 1 = m/s ii. What is the acceleration of the particle? iii. What is the velocity of the particle as...

Reflect a triangle whose vertices are ?(2, 3), ?(6, 3) and ?(4, 8) about the line...

Reflect a triangle whose vertices are ?(2, 3), ?(6, 3) and ?(4, 8) about the line ? = 3? + 4. Determine the final coordinates of the triangle. Sketch the initial and final positions

A particle moves from point A = (0, 0, 0) to point B = (2π, 0,...

A particle moves from point A = (0, 0, 0) to point B = (2π, 0, 2π), under the action of the force F = xi + yj − zk . a. Calculate the work done by the force F on the particle if it moves along the conic-helical curve r(t) = (t cost )i + (t sint )j + tk with 0 ≤ t ≤ 2π. b. Find a parametric vector equation for the straight line connecting A to...

Suppose a particle moves along the x-axis beginning at 0. It moves one integer step to...

Suppose a particle moves along the x-axis beginning at 0. It moves one integer step to the left or right with equal probability. a)What is the pdf of its position after three steps? b)What is the pdf of its position after three steps if the x-axis beginning at 1? c)What is the pdf of its position after two steps? d)What is the pdf of its position after two steps if the x-axis beginning at 1?

Find the centroid of the triangle whose vertices are the points A (8 , 4) B (1 , 3) and C (3 , -1).

A particle that has a charge of 7.6 μC moves with a velocity of magnitude 4...

A particle that has a charge of 7.6 μC moves with a velocity of magnitude 4 × 105 m/s along the +x axis. It experiences no magnetic force, although there is a magnetic field present. The maximum possible magnetic force that the charge with the given speed could experience has a magnitude of 0.310 N. Find the magnitude and direction of the magnetic field. Note that there are two possible answers for the direction of the field.

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A particle moves once counterclockwise about the triangle with vertices (0, 0), (4, 0) and (1,...

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