The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle’s velocity at x = 2.0 m is 5.0 m/s. Calculate the mechanical energy of the particle using (a) the origin as the reference point and (b) x = 4.0 m as the reference point. (c) Find the particle’s velocity at x = 1.0 m. Do this part of the problem for each reference point.
The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle’s velocity at x = 2.0 m is 5.0 m/s. Calculate the mechanical energy of the particle using (a) the origin as the reference point and (b) x = 4.0 m as the reference point. (c) Find the particle’s velocity at x = 1.0 m. Do this part of the problem for each reference point.
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The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle’s velocity at x = 2.0 m is 5.0 m/s. Calculate the mechanical energy of the particle using (a) the origin as the reference point and (b) x = 4.0 m as the reference point. (c) Find the particle’s velocity at x = 1.0 m. Do this part of the problem for each reference point.
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