How is the Doppler Effect used in astronomy and/or meteorology?

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Will give brainliest! which statement best describes the similarities between fundamental forces? electromagnetic and strong nuclear forces influence the interaction between charged particles within an atom. gravitational and magnetic forces are both types of charges that occur in nature. nuclear and magnetic forces are both related to mass and weight. strong nuclear force is most like electrical force because they are both related to distance.

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)