Explanation:
Given that,
Mass, m = 0.08 kg
Radius of the path, r = 2.7 cm = 0.027 m
The linear acceleration of a yo-yo, a = 5.7 m/s²
We need to find the tension magnitude in the string and the angular acceleration magnitude of the yo‑yo.
(a) Tension :
The net force acting on the string is :
ma=mg-T
T=m(g-a)
Putting all the values,
T = 0.08(9.8-5.7)
= 0.328 N
(b) Angular acceleration,
The relation between the angular and linear acceleration is given by :
![\alpha =\dfrac{a}{r}\\\\\alpha =\dfrac{5.7}{0.027}\\\\=211.12\ m/s^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cdfrac%7Ba%7D%7Br%7D%5C%5C%5C%5C%5Calpha%20%3D%5Cdfrac%7B5.7%7D%7B0.027%7D%5C%5C%5C%5C%3D211.12%5C%20m%2Fs%5E2)
(c) Moment of inertia :
The net torque acting on it is,
, I is the moment of inertia
Also, ![\tau=Fr](https://tex.z-dn.net/?f=%5Ctau%3DFr)
So,
![I\alpha =Fr\\\\I=\dfrac{Fr}{\alpha }\\\\I=\dfrac{0.328\times 0.027}{211.12}\\\\=4.19\times 10^{-5}\ kg-m^2](https://tex.z-dn.net/?f=I%5Calpha%20%3DFr%5C%5C%5C%5CI%3D%5Cdfrac%7BFr%7D%7B%5Calpha%20%7D%5C%5C%5C%5CI%3D%5Cdfrac%7B0.328%5Ctimes%200.027%7D%7B211.12%7D%5C%5C%5C%5C%3D4.19%5Ctimes%2010%5E%7B-5%7D%5C%20kg-m%5E2)
Hence, this is the required solution.
Answer:
d
a balanced force acted on it and propelled it to 4,000 km/hr
Explanation:
For the neutrons star which is moving in outer space at 4,000 km/hr, it could only be possible as a result of the balanced force which had already acted on it. <em>This is based on newton's law of motion which states that 'To every action, there is equal and opposite reaction'. </em>
<span>1.
</span>Meiosis has 2 cell divisions but mitosis has only one cell
division. Meiosis I is same as mitosis because parent cell produces diploid
cells. But the difference between meiosis and mitosis is after the complete
process meiosis produces genetically different haploid daughter cells and
mitosis produces genetically same diploid daughter cells.
<span>2.
</span>The main advantage of the sexual reproduction is It helps to produce offspring which can be
well adapted to the environmental conditions due to the genetically
differentiations. Hence, there are various types of offspring in the population.
But the disadvantage is it requires two parents and it requires more time than
asexual reproduction.
<span>3.
</span>Advantages
of asexual reproduction are it requires only parent, time for the process is
relatively low, it produces genetically identical offspring. The main
disadvantage is due to the production of genetically identical offspring, the
survival rate is low when there is a disaster.
<span>4.
</span><span>The
organism can do either sexual reproduction or asexual reproduction to produce
offspring. If it is difficult to find a partner to mate, the living being can
do asexual reproduction to make offspring in a short period of time. When the
organism needs genetically different offspring for survival, they can do sexual
reproduction.</span>
Answer:
Explanation:
according to third equation of motion
2as=vf²-vi²
vf²=2as+vi²
vf=√2as+vi²
vf=√2as+vi
vf=√2*2*4+3
vf=√16+3
vf=4+3=7
so final velocity is 7 m/s
Answer:
According to Einstein's famous equation, matter can convert into energy (and viceversa) as follows:
![E=mc^2](https://tex.z-dn.net/?f=E%3Dmc%5E2)
where
E is the energy
m is the mass
c is the speed of light (
)
Given the huge value of
, we see that even a tiny amount of matter is able to release a huge amount of energy, when the whole mass is converted into energy. This is precisely what happens in nuclear reactions. For example, in the process of nuclear fusion (that occurs in the core of the stars), two light nuclei fuse together into a heavier nucleus. The mass of the final nucleus is lower than the total mass of the initial nuclei, so part of the mass has been converted into energy according to the equation above: this is why the amount of energy produced by stars is so big.