Answer: 1175 J
Explanation:
Hooke's Law states that "the strain in a solid is proportional to the applied stress within the elastic limit of that solid."
Given
Spring constant, k = 102 N/m
Extension of the hose, x = 4.8 m
from the question, x(f) = 0 and x(i) = maximum elongation = 4.8 m
Work done =
W = 1/2 k [x(i)² - x(f)²]
Since x(f) = 0, then
W = 1/2 k x(i)²
W = 1/2 * 102 * 4.8²
W = 1/2 * 102 * 23.04
W = 1/2 * 2350.08
W = 1175.04
W = 1175 J
Therefore, the hose does a work of exactly 1175 J on the balloon
An example of a negative incentive for producers is the
sharp increase in production costs. Producers are the one who manage the production
costs and even the production budget. Anything that relates the production
department is entitled to the management of production producers.
There is what we called positive and negative incentives and
both of these can affect consumers and producers. Positive incentives are those
situations which will give a certain outcome that will benefit the producers,
for example, during the peak season there will be a high demand of products, and
this gives the chance of producers to demand a higher price from the consumers,
in this situation, there will be a big chance of increase sales. A sharp increase in production costs is a
loss for the producers. If there will be
an increase in production costs, the budget will be greatly affective and even
though it is not a peak season, there’s a big chance also to increase prices
which we know, consumers are not fond of.
Mass doesn't depend on where it is, and doesn't change.
Answer:
The magnitude of the change in momentum of the stone is 5.51kg*m/s.
Explanation:
the final kinetic energy = 1/2(0.15)v^2
1/2(0.15)v^2 = 70%*1/2(0.15)(20)^2
v^2 = 21/0.075
v^2 = 280
v = 16.73 m.s
if u is the initial speed and v is the final speed, then:
u = 20 m/s and v = - 16.73m/s
change in momentum = m(v-u)
= 0.15(- 16.73-20)
= -5.51 kg*m.s
Therefore, The magnitude of the change in momentum of the stone is 5.51kg*m/s.
Answer:
Mg (atomic number 12)
K (atomic number 19)
Explanation:
The size of an atom is estimated in terms of its atomic radius.
The atomic radius is taken as half of the inter-nuclear distance between two covalently bonded atoms of non-metallic elements or half of the distance (d) between two nuclei in the solid - state of metals.
- Across a period, atomic radii decrease progressively from left to right.
- This is due to the progressive increase in the nuclear charge without increase in the number of electronic shells.
- Down a group, atomic radii increase progressively due to the successive shells of electrons being added which have been compensated for by the increase in nuclear charge.
Cl is further right of Mg in the third period
K is below Na in the first group
