State the relationship between the mass of trolley and acceleration of the trolley?
1 answer:
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Answer:
The value is
Explanation:
From the question we are told that
The initial speed is
Generally the total energy possessed by the space probe when on earth is mathematically represented as
Here is the kinetic energy of the space probe due to its initial speed which is mathematically represented as
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And is the kinetic energy that the space probe requires to escape the Earth's gravitational pull , this is mathematically represented as
Here is the escape velocity from earth which has a value
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Generally given that at a position that is very far from the earth that the is Zero, the kinetic energy at that position is mathematically represented as
Generally from the law energy conservation we have that
So
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Answer:
Explanation:
For the simple pendulum problem we need to remember that:
,
where is the angular position, t is time, g is the gravity, and L is the length of the pendulum. We also need to remember that there is a relationship between the angular frequency and the length of the pendulum:
,
where is the angular frequency.
There is also an equation that relates the oscillation period and the angular frequeny:
,
where T is the oscillation period. Now, we can easily solve for L: