What is the difference between work done by fuel and work done by moving object??
2 answers:
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Answer:
a)
b)
Explanation:
Given:
mass of the lighter block,
velocity of the lighter block,
mass of the heavier block,
velocity of the heavier block,
a)
Using conservation of linear momentum:
where:
final velocity of the lighter block
final velocity of the heavier block
........................(1)
Since kinetic energy is conserved in elastic collision:
divide the above equation by eq. (1)
.............................(2)
now we substitute the value of v from eq. (2) in eq. (1)
(negative sign denotes that the direction is towards left)
b)
now we substitute the value of v' from eq. (2) in eq. (1)
Answer:
The resultant velocity of the helicopter is .
Explanation:
Physically speaking, the resulting velocity of the helicopter (), measured in meters per second, is equal to the absolute velocity of the wind (
), measured in meters per second, plus the velocity of the helicopter relative to wind (
), also call velocity at still air, measured in meters per second. That is:
(1)
In addition, vectors in rectangular form are defined by the following expression:
(2)
Where:
- Magnitude, measured in meters per second.
- Direction angle, measured in sexagesimal degrees.
Then, (1) is expanded by applying (2):
(3)
If we know that ,
,
and
, then the resulting velocity of the helicopter is:
The resultant velocity of the helicopter is .