Answer:
L = 0.99 m = 99 cm
Explanation:
The period is the reciprocal of the frequency.
T = 1/0.5 = 2.0 s
T = 2π√(L/g)
L = g(T/2π)²
L = 9.8(2.0/2π)² = 0.99 m
If the system accelerates upward, it will cause the apparent gravity to increase. This will require a longer pendulum to keep the same period, or shorten the period if the length remains the same. This shows up in the equation where the product of gravity and the square of the period must remain constant for the length to remain constant.
5.8 moles of nitrogen gas are needed to pressurize the air bag.
<h3>What's the expression of Ideal gas equation?</h3>
- Ideal gas equation is PV=nRT
- P= pressure, V = volume, n= no. of moles of gas, R= universal gas constant, T = temperature of the gas
<h3>What's the no. of moles of nitrogen present in a 60L air bag at 2.37 atm pressure and 25°C temperature?</h3>
- P= 2.37 atm, V = 60L, R= 0.0821 L-atm/mol-K, T = 25°C = 298K
- n= PV/RT
= (2.37×60)/(0.0821×298)
= 5.8 moles
Thus, we can conclude that 5.8 moles of nitrogen gas are needed to pressurize the air bag.
Learn more about the ideal gas here:
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Answer:
Explanation:
When a projectile is fired upwards with some initial speed then the it reaches the top of the projectile and then falls back to the ground.
According to the question we need to find the work done by the gravity which is acting downwards for the projectile when it is at a position just about to hit the ground in course of falling down.
As we know that work is given as:
here:
force of gravity on the object (which is acting downwards)
displacement of the object
- Here the work done by the gravity at an instant just before the projectile hits the earth will be negative as the displacement is in the direction opposite to the force of gravity.
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>
Given that ,
- Initial Velocity of car = 44km / hr.
- Final Velocity of car = 0km / hr.
- Acceleration = -5km/hr².
To Find :
- Time taken to stop the car .
So , here use first equⁿ of motion which is ,
where ,
- v is final Velocity.
- u is Initial velocity.
- a is acceleration.
- t is time taken.
Now , substituting the respective values ,
Its not a A or B cause the core is the hottest. Its not D either the answer is D
