A 2.1 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of an x axis is applied to the block. The force is given by F (x) = (4.6 – x )î N , where x is in meters and the initial position of the block is x 0. (a) What is the kinetic energy of the block as it passes through x = 2.4 m? (b) What is the maximum kinetic energy of the block between x = 0 and x = 2.4 m? (a) Number i Units (b) Number i Units

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A 2.1 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of an x axis is
applied to the block. The force is given by F (x) = (4.6 – x² )i N, where x is in meters and the initial position of the block is x =
0. (a) What is the kinetic energy of the block as it passes through x = 2.4 m? (b) What is the maximum kinetic energy of the block
between x = 0 and x = 2.4 m?
%3D
(a) Number
i
Units
(b) Number
i
Units
Transcribed Image Text:A 2.1 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of an x axis is applied to the block. The force is given by F (x) = (4.6 – x² )i N, where x is in meters and the initial position of the block is x = 0. (a) What is the kinetic energy of the block as it passes through x = 2.4 m? (b) What is the maximum kinetic energy of the block between x = 0 and x = 2.4 m? %3D (a) Number i Units (b) Number i Units
The figure gives the acceleration of a 6.0 kg particle as an applied force moves it from rest along an x axis from x = 0 to x = 9.0 m. The
scale of the figure's vertical axis is set by ag = 10.0 m/s?. How much work has the force done on the particle when the particle reaches
(a) x = 4.0 m, (b) x = 7.0 m, and (c) x = 9.0 m? What is the particle's speed and direction (give positive answer if the particle moves
along x axis in positive direction and negative otherwise) of travel when it reaches (d) x = 4.0 m, (e) x = 7.0 m, and (f) x = 9.0 m?
x (m)
4 16
-a,
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
(e) Number
i
Units
(f) Number
i
Units
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Transcribed Image Text:The figure gives the acceleration of a 6.0 kg particle as an applied force moves it from rest along an x axis from x = 0 to x = 9.0 m. The scale of the figure's vertical axis is set by ag = 10.0 m/s?. How much work has the force done on the particle when the particle reaches (a) x = 4.0 m, (b) x = 7.0 m, and (c) x = 9.0 m? What is the particle's speed and direction (give positive answer if the particle moves along x axis in positive direction and negative otherwise) of travel when it reaches (d) x = 4.0 m, (e) x = 7.0 m, and (f) x = 9.0 m? x (m) 4 16 -a, (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units (f) Number i Units > > > > >
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