Answer:
(A) It will take 22 sec to come in rest
(b) Work done for coming in rest will be 0.2131 J
Explanation:
We have given the player turntable initially rotating at speed of ![33\frac{1}{3}rpm=33.333rpm=\frac{2\times 3.14\times 33.333}{60}=3.49rad/sec](https://tex.z-dn.net/?f=33%5Cfrac%7B1%7D%7B3%7Drpm%3D33.333rpm%3D%5Cfrac%7B2%5Ctimes%203.14%5Ctimes%2033.333%7D%7B60%7D%3D3.49rad%2Fsec)
Now speed is reduced by 75 %
So final speed ![\frac{3.49\times 75}{100}=2.6175rad/sec](https://tex.z-dn.net/?f=%5Cfrac%7B3.49%5Ctimes%2075%7D%7B100%7D%3D2.6175rad%2Fsec)
Time t = 5.5 sec
From first equation of motion we know that '
![\alpha =\frac{\omega -\omega _0}{t}=\frac{2.6175-3.49}{4}=-0.158rad/sec^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cfrac%7B%5Comega%20-%5Comega%20_0%7D%7Bt%7D%3D%5Cfrac%7B2.6175-3.49%7D%7B4%7D%3D-0.158rad%2Fsec%5E2)
(a) Now final velocity ![\omega =0rad/sec](https://tex.z-dn.net/?f=%5Comega%20%3D0rad%2Fsec)
So time t to come in rest ![t=\frac{0-3.49}{-0.158}=22sec](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B0-3.49%7D%7B-0.158%7D%3D22sec)
(b) The work done in coming rest is given by
![\frac{1}{2}I\left ( \omega ^2-\omega _0^2 \right )=\frac{1}{2}\times 0.035\times (0^2-3.49^2)=0.2131J](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DI%5Cleft%20%28%20%5Comega%20%5E2-%5Comega%20_0%5E2%20%5Cright%20%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%200.035%5Ctimes%20%280%5E2-3.49%5E2%29%3D0.2131J)
This is the upthrust on an object which is placed inside a fluid
This force act upwards and always push upwards
so the correct answer is given as
D. A force within a fluid that pushes upward
this force is always due to pressure difference at two levels of
at lower level since pressure is more that is why the force is upwards and this upthrust is known as Buoyancy
The behavior of an ideal gas at constant temperature obeys Boyle's Law of
p*V = constant
where
p = pressure
V = volume.
Given:
State 1:
p₁ = 10⁵ N/m² (Pa)
V₁ = 2 m³
State 2:
V₂ = 1 m³
Therefore the pressure at state 2 is given by
p₂V₂ = p₁V₁
or
p₂ = (V₁/V₂) p₁
= 2 x 10⁵ Pa
Answer: 2 x 10⁵ N/m² or 2 atm.
Answer:
Hypotheses must be testable, and once tested, they can be supported by evidence. If a statement is made that cannot be tested and disproved, then it is not a hypothesis.
Answer:
option C
Explanation:
The correct answer is option C
When the driver takes the sharp right turn the door will exert rightward pressure on the driver.
When the driver takes the sudden right turn the tendency of the body is to be in the straight line by the vehicle moves in the circular path so, as the vehicle turns it applies a rightward force on you.
The pushing of the door to you because of the centripetal force acting on the car due to sudden sharp turn.