A ball rolls with a speed of 2.0m/s across a level table that is 1.0m above the floor. Upon reaching the edge of the table it fo
2 answers:
Answer:
The distance covered by the ball is 0.9 m.
Explanation:
Given that,
Speed of ball = 2.0 m/s
Distance = 1.0 m
We need to calculate the time
Using equation of motion
Here, u = initial velocity=0
Where, h = distance
g = acceleration due to gravity
t = time
Put the value into the formula
We need to calculate the distance of the ball
Using formula of velocity
Hence, The distance covered by the ball is 0.9 m.
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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