Please answer the following parts of the question below and show work for each p
ID: 1788627 • Letter: P
Question
Please answer the following parts of the question below and show work for each part.
4 m 2 m 3.5 m 3. A block of mass m-8 kg starting from rest at height h-3.5 m rolls over a series of frictionless hills. The height of each hill is labeled on the figure. Each hilltop has a circular shape, with radius r-6 m. (Note that the figure is not to scale.) a) 14 ptsj Which hill is the first the block cannot cross? Justify your answer. boc kin untm or non-unitmrn Esplain c) [4 pts] On which hilltop is the normal force on the block the lowest? (Hint: This question may be answered conceptually) d) [8 pts] Suppose the block does not start from rest, but is initially moving down the slope. What is the minimum initial KE where it loses contact with the surface while going over hill 12 (Hint: An object loses contact with a surface when the normal force becomes 0.)Explanation / Answer
a) Hill 4
b) Non Uniform circular motion. Because, As the height of the block changes its speed also changes.
c) Hill 1
Fnet = m*g - N
m*v^2/R = m*g - N
==> N = m*g - m*v^2/R
as v is large, N is low.
d) use, N = 0
m*g - m*v^2/R = 0
v = sqrt(g*R)
= sqrt(9.8*6)
= 7.67 m/s
let u is the initial speed.
now use, v^2 - u^2 = 2*g*h
u^2 = v^2 - 2*g*h
u^2 = 7.67^2 - 2*(-9.8)*2.5
u^2 = 108
KEi = (1/2)*m*u^2
= (1/2)*8*108
= 432 J <<<<<<<<<<--------------Answer