Answer:
The speed of the spider is v = (2g*L*(1-cosθ))^1/2
Explanation:
using the energy conservation equation we have to:
Ek1 + Ep1 = Ek2 + Ep2
where
Ek1 = kinetic energy = 0
Ep1 = potential energy = m*g*L*cosθ
Ek2 = (m*v^2)/2
Ep2 = m*g*L
Replacing, we have:
0 - m*g*L*cosθ = (m*v^2)/2 - m*g*L
(m*v^2)/2 = m*g*L*(1-cosθ)
v^2 = 2g*L*(1-cosθ)
v = (2g*L*(1-cosθ))^1/2
Answer:
7572 m/s
Explanation:
The force between two masses separated by a distance r is given as:
![F=G\frac{m_1m_2}{r^2}](https://tex.z-dn.net/?f=F%3DG%5Cfrac%7Bm_1m_2%7D%7Br%5E2%7D)
Where F is the attractive force between 2 masses, m1 and m2, r is the distance between the centres of the masses and G is the universal gravitation constant, which is ![6.674*10^-11 Nm^2/kg^2](https://tex.z-dn.net/?f=6.674%2A10%5E-11%20Nm%5E2%2Fkg%5E2)
The mass of the earth (
) is far greater than the mass of the sputnik (
). Therefore
. The mass of the sputnik is neglected, therefore:
![F=G\frac{m_1}{r^2}=\frac{(6.674*10^{-11})(5.98*10^{24})}{(6.96*10^6)^2} = 8.2389N](https://tex.z-dn.net/?f=F%3DG%5Cfrac%7Bm_1%7D%7Br%5E2%7D%3D%5Cfrac%7B%286.674%2A10%5E%7B-11%7D%29%285.98%2A10%5E%7B24%7D%29%7D%7B%286.96%2A10%5E6%29%5E2%7D%20%3D%208.2389N)
But F is actually centripetal acceleration, a = v²/r
![8.2389 = v^2 / 6.96*10^6\\v=7572m/s](https://tex.z-dn.net/?f=8.2389%20%3D%20v%5E2%20%2F%206.96%2A10%5E6%5C%5Cv%3D7572m%2Fs)
Answer:
d = 4.9 m
Explanation:
It is mentioned that a stone is dropped from a certain height. It is required to find the distance covered by it in one second.
The initial speed of the stone is equal to 0 as it was at rest. Let d is the distance covered by the stone.
Using second equation of motion :
![d=ut+\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=d%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
Put u = 0 and a = g
![d=\dfrac{1}{2}gt^2\\\\d=\dfrac{1}{2}\times 9.8\times 1^2\\\\d=4.9\ m](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B1%7D%7B2%7Dgt%5E2%5C%5C%5C%5Cd%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%209.8%5Ctimes%201%5E2%5C%5C%5C%5Cd%3D4.9%5C%20m)
So, the distance covered by it in one second is 4.9 m.
The fragment of an asteroid or any interplanetary material is known as a a : D. Meteroid
Human came in contact with this material mostly because it penetrate the atmosphere and fall within the earth surface
hope this helps