Answer:
Explanation:
since force is applied downwards at some angle with the horizontal
so here we will have
now we know that the box will not move if applied force is balanced by frictional force on it
so we will have
so here we can say
2. An auditorium has 58 seats in the first row, 62 seats in the second row, 66 seats in the third row, and so
1 answer:
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Answer:
0.29 m
Explanation:
9 mm = 0.009 m in diameter
Cross-sectional area
Let the tensile modulus of Nickel .
The elongation of the rod can be calculated using the following formula:
1) Initial upward acceleration:
2) Mass of burned fuel:
Explanation:
1)
There are two forces acting on the rocket at the beginning:
- The force of gravity, of magnitude , in the downward direction, where
is the rocket's mass
is the acceleration of gravity
- The thrust of the motor, T, in the upward direction, of magnitude
According to Newton's second law of motion, the net force on the rocket must be equal to the product between its mass and its acceleration, so we can write:
(1)
where a is the acceleration of the rocket.
Solving for a, we find the initial acceleration:
2)
When the rocket reaches an altitude of 5000 m, its acceleration has increased to
The reason for this increase is that the mass of the rocket has decreased, because the rocket has burned some fuel.
We can therefore rewrite eq.(1) as
where
is the new mass of the rocket
Re-arranging the equation and solving for m', we find
And since the initial mass of the rocket was
This means that the mass of fuel burned is