V^2=u^2 +2aS
U is found first by considering that first 8 secs and using v=u+at. {different v and u though}
V=-u+gt.
Magnitude of u = magnitude of v if there is no resistance ( because the conservation of energy says the k. E. must be the same when it passes you as when it left your hand).... up is negative here, down is positive.
V+v=gt
2v= g x 8
V=4xg.= the initial velocity for the next calculation
V^2=(4g)^2+(2xgx21)
So v can be calculated.
The correct answer should be A
Answer:
By separating disparate individual elements into larger blocks, information becomes easier to retain and recall. This is due mainly to how limited our short-term memory can be. ... Chunking allows people to take smaller bits of information and combine them into more meaningful, and therefore more memorable, wholes.
The pressure of a submerged object in a fluid is given by:
where ρ is the density of the fluis, g is the acceleration of gravity, h is the depth of the object and Patm is the pressure of the atmosphere. In this case we know that:
• The density of water is 1000 kg/m^3
,
• The acceleration of gravity is 9.8 m/s^2
,
• The depth of the object is 3 km, that is, 3000 m.
,
• The atmospheric pressure is 101325 pascals.
Plugging these values in the equation given above we have:
Therefore, the pressure at this depth is 2.95x10^7 Pa.
Complete Question
A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 499cm3 of air at atmospheric pressure (1.01×105Pa) and a temperature of 27.0∘C. At the end of the stroke, the air has been compressed to a volume of 46.2cm3 and the gauge pressure has increased to 2.72×106Pa. Compute the final temperature.
Answer:
The final temperature is
Explanation:
From the question we are given
The volume of one of the cylinders is
The atmospheric pressure is
The temperature is
Volume at the end of the stroke is
The increased pressure is
Now to obtain the temperature we are going to apply the ideal gas equation to this question and this is mathematically given as
Where P is the pressure , V sis the volume T is the temperature
While is the rate constant and n is the number of mole which is constant in this question hence
=>
Making the subject of the formula we have
Therefore