Answer:
v = 10 m/s
Explanation:
given,
Mass of large fish, M = 5 Kg
speed of swimming, v' = 2 m/s
mass of small fish, m = 1 kg
speed of the fish = v
using conservation of momentum
m v + M v' = M u' + m u
final speed of both the speed is zero.
- 1 x v + 5 x 2 = 0
negative sign is used because small fish is moving in opposite direction.
now,
v = 10 m/s
hence, the speed of the small fish is equal to 10 m/s.
Answer:
A body is said to have power of 1 watt if it does work at the rate of 1 joule in 1 s. Watt is the SI unit of power. Other units of power include ergs per second, horsepower, metric horsepower or cheval vapeur (CV)), and foot-pounds per minute. The unit Watt is named after the scientist James Watt.
Answer:
19 cm³
Explanation:
The coefficient of thermal expansion is the ratio of the change in volume to the reference volume for each degree change in temperature. Hence the change in volume is found by multiplying by the reference volume and the change in temperature.
(1000 cm³)(0.950·10⁻³/K)(50-30)K = 19 cm³ . . . volume increase
Answer:
The three major parts of a cell are:
a. Cell membrane
b. Nucleus
c. Cytoplasm
Explanation:
a. Cell membrane:
It provides protection for a cell.
b. Nucleus:
It controls and regulates the activities of cell.
c. Cytoplasm:
It supports and suspends organelles and cellular molecules.
Answer: $62160.534
Explanation:
If the architect needs to cover a 100 ft x 89 ft ceiling with gold leaf sheets with a thickness of
, he will need to cover a volume
as follows (assuming the ceiling has a rectangular shape):
(1)
Where:



Then:
(2)
On the other hand, density
is defined as the relation between the mass
of an object and its volume
:
(3)
As we know the density of gold is
and the volume the architect needs to cover, we can find the mass.
(4)
But first, we have to change the dimensions of the volume we calculated, in order to work with the same units:
Substituting in (4):
(5)
(6) This is the amount of gold keaf sheets the architect needs.
Now, if we know
cost $ 953, we can find how much
of gold cost:

Therefore, the architect will need $62160.534 to buy the necessary gold to cover the ceiling.