In the diagram below, a heavy box is being lifted. What is the function of the pulley in this situation?
2 answers:
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Answer:
Explanation:
As we know that initial speed of the fall of the stone is ZERO
also the acceleration due to gravity on Mars is g
so we have
now we have
now if the same is dropped for 4t seconds of time
then again we will use above equation
Answer:
2 rad/s
Explanation:
For a rotating object, the linear velocity is given by
where is the angular velocity and
is the radius.
The edge has a linear velocity of 10 m/s and the radius at the edge is 5 m.
The equation of state for an ideal gas is
where p is the gas pressure, V the volume, n the number of moles, R the gas constant and T the temperature.
The equation of state for the initial condition of the gas is
(1)
While the same equation for the final condition is
(2)
We know that in the final condition, half of the mass of the gas is escaped. This means that the final volume of the gas is half of the initial volume, and also that the final number of moles is half the initial number of moles, so we can write:
If we substitute these relationship inside (1), and we divide (1) by (2), we get
And since the initial temperature of the gas is
, we can find the final temperature of the gas:
where p is the gas pressure, V the volume, n the number of moles, R the gas constant and T the temperature.
The equation of state for the initial condition of the gas is
While the same equation for the final condition is
We know that in the final condition, half of the mass of the gas is escaped. This means that the final volume of the gas is half of the initial volume, and also that the final number of moles is half the initial number of moles, so we can write:
If we substitute these relationship inside (1), and we divide (1) by (2), we get
And since the initial temperature of the gas is