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# A particle experiences a force field that may be written, in spherical coordinates, as Fvec = 2(theta) e_r + 1 e_theta, and r ( t ) = 1 , theta ( t )...

A particle experiences a force field that may be written, in spherical coordinates,

as

Fvec = − 2(theta) e_r + 1 e_theta, and

r (t ) = 1 , theta (t ) = 2t , phi(t ) = pi/2

Write out F and rvec in Cartesian unit vectors.