Solution Found!
A mass m is in a uniform gravitational field, which exerts
Chapter 4, Problem 4.26(choose chapter or problem)
A mass m is in a uniform gravitational field, which exerts the usual force F = mg vertically down, but with g varying with time, g = g (t). Choosing axes with y measured vertically up and defining U = mgy as usual, show that F = V U as usual, but, by differentiating E = 4mv2 + U with respect to t, show that E is not conserved. Figure 4.25 4.30
Questions & Answers
QUESTION:
A mass m is in a uniform gravitational field, which exerts the usual force F = mg vertically down, but with g varying with time, g = g (t). Choosing axes with y measured vertically up and defining U = mgy as usual, show that F = V U as usual, but, by differentiating E = 4mv2 + U with respect to t, show that E is not conserved. Figure 4.25 4.30
ANSWER:Step 1 of 3
The potential energy on vertically upwards is defined as,
Then, gradient of potential energy in vertically upward can be represented in vector form as,