A hypothetical (and science-fictional) machine creates a repelling field that makes a force given in polar...

 

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A hypothetical (and science-fictional) machine creates a repelling field that makes a force given in polar coordinates as: F = { 42000 m/r e,} N where "m" is the mass of the repelled object in [kg] and "r" is the radial distance to the object in [m]. (Note: for this problem, neglect all other forces.) i) Write out the potential energy function for this force in terms of "m" and "r". Let V = 0 when r = 00. V(m,r) = ii) Find the potential energy of the bullet when it is at the position shown on the left. 57 m 130 m/s 0.03 kg V = iii) Find the kinetic energy of the bullet when it is at the position shown on the left. Tv,1 = iv) Write out a function for the speed of the bullet as a function of radial distance. v(r) = A hypothetical (and science-fictional) machine creates a repelling field that makes a force given in polar coordinates as: F = { 42000 m/r e,} N where "m" is the mass of the repelled object in [kg] and "r" is the radial distance to the object in [m]. (Note: for this problem, neglect all other forces.) i) Write out the potential energy function for this force in terms of "m" and "r". Let V = 0 when r = 00. V(m,r) = ii) Find the potential energy of the bullet when it is at the position shown on the left. 57 m 130 m/s 0.03 kg V = iii) Find the kinetic energy of the bullet when it is at the position shown on the left. Tv,1 = iv) Write out a function for the speed of the bullet as a function of radial distance. v(r) =