Rank the magnitudes of the vectors A^^\-> through F^^\-> formed by adding and subtracting vectors R^^\->, S^^\->, and T^^\-> as described below. [For equivalent vectors please list the letter that comes earlier in the alphabet first.]

Using a wheel and axle, a farmer is trying to lift a bucket of water from the bottom of a well. the larger wheel has a radius of 40 cm compared to the axle that has a radius of 10 cm. if a bucket of water is 50 n, then how much effort is required to raise it? 12.5 n 200 n 2 n 500 n

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

Iwill give 30 points to whoever answers ! what is the formula for actual mechanical advantage and ideal mechanical advantage?