Use Green’s Theorem to find the work done by the force field F on a particle that moves along the stated path. F x , y = y i + x j ; the particle moves counterclockwise one time around the closed curve given by the equations y = 0 , x = 2 , and y = x 3 / 4 .
Use Green’s Theorem to find the work done by the force field F on a particle that moves along the stated path. F x , y = y i + x j ; the particle moves counterclockwise one time around the closed curve given by the equations y = 0 , x = 2 , and y = x 3 / 4 .
A force field is given by the equation. A particle is moved from (1,0,0) to (1,1,1) along a straight line. Calculate the work done by the force field on the particle.
Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with
the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity vo = 8i - 4j+23k ft/s.
Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft.
105 ft
1
105 ft
r₁ =
rj =
rk =
165 ft
Determine the position function that gives the position of the ball t seconds after it is hit.
(Use symbolic notation and fractions where needed.)
r(t) = ri(t)i + rj(t)j + rk(t)k
Incorrect
81+76
-41+21
↓
23r+1672²
165 ft
12
12
Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with
the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity vo = 8i - 4j+23k ft/s.
Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft.
105 ft
105 ft
ri =
rj =
165 ft
rk =
e
165 ft
Determine the position function that gives the position of the ball t seconds after it is hit.
(Use symbolic notation and fractions where needed.)
r(t) = r(t)i + r(t)j +rk(t)k
12
12
X
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