Let n and k be positive integers. After calculating several examples, guess a closed formula for:
(n \ 0) + (n + 1 \ 1) + ... + (n + k \ k)
If it helps, this is the formula for the sum of the nth row of the pascal triangle:
(n \ 0) + (n \ 1) + ... (n \ k) = 2^n
(n \ 0) means n...
A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of x^6 from x=-1 to x=1. The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The...
I partially get it. If Tension force is greater than the static friction force, then the box will move. So just find friction force.
Ff = mu x n
Ff = .5(9.8)(5)
But that isn't the right answer.
1. A horizontal rope pulls a 20kg wood sled across frictionless snow. A 5 kg wood box rides on the sled. The coefficient of static friction for wood on wood is 0.5. What is the largest tension force for which the box doesn't slip?
m = 5 kg box, 20 kg sled
mu = .5
T = ?
2.
F = ma
Ff= mu x n
3...