Answer:it is a
Explanation hope this helps .
Answer:
0.09852 seconds
Explanation:
= Linear density = 0.0292 kg/m
= Tesnsion in string A = ![33\times 10^2\ N](https://tex.z-dn.net/?f=33%5Ctimes%2010%5E2%5C%20N)
= Tesnsion in string B = ![3.76\times 10^2\ N](https://tex.z-dn.net/?f=3.76%5Ctimes%2010%5E2%5C%20N)
t = Time taken till the pulses pass each other
Velocity of wave in a string is given by
![v_A=\sqrt{\dfrac{T_A}{\mu}}\\\Rightarrow v_A=\sqrt{\dfrac{33\times 10^2}{0.0292}}](https://tex.z-dn.net/?f=v_A%3D%5Csqrt%7B%5Cdfrac%7BT_A%7D%7B%5Cmu%7D%7D%5C%5C%5CRightarrow%20v_A%3D%5Csqrt%7B%5Cdfrac%7B33%5Ctimes%2010%5E2%7D%7B0.0292%7D%7D)
![v_B=\sqrt{\dfrac{T_2}{\mu}}\\\Rightarrow v_B=\sqrt{\dfrac{3.76\times 10^2}{0.0292}}](https://tex.z-dn.net/?f=v_B%3D%5Csqrt%7B%5Cdfrac%7BT_2%7D%7B%5Cmu%7D%7D%5C%5C%5CRightarrow%20v_B%3D%5Csqrt%7B%5Cdfrac%7B3.76%5Ctimes%2010%5E2%7D%7B0.0292%7D%7D)
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
![L=(v_A+v_B)t\\\Rightarrow t=\dfrac{L}{v_A+v_B}\\\Rightarrow t=\dfrac{44.3}{\sqrt{\dfrac{33\times 10^2}{0.0292}}+\sqrt{\dfrac{3.76\times 10^2}{0.0292}}}\\\Rightarrow t=0.09852\ s](https://tex.z-dn.net/?f=L%3D%28v_A%2Bv_B%29t%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7BL%7D%7Bv_A%2Bv_B%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B44.3%7D%7B%5Csqrt%7B%5Cdfrac%7B33%5Ctimes%2010%5E2%7D%7B0.0292%7D%7D%2B%5Csqrt%7B%5Cdfrac%7B3.76%5Ctimes%2010%5E2%7D%7B0.0292%7D%7D%7D%5C%5C%5CRightarrow%20t%3D0.09852%5C%20s)
The time taken is 0.09852 seconds
Answer:
![a_{c}=v^{2}/R](https://tex.z-dn.net/?f=a_%7Bc%7D%3Dv%5E%7B2%7D%2FR)
The radius of curvature changes so that centripetal acceleration is similar along the entire roller coaster.
Explanation:
We know that the centripetal acceleration is directly proportional to the tangential velocity and inversely proportional to the radius of curvature:
![a_{c}=v^{2}/R](https://tex.z-dn.net/?f=a_%7Bc%7D%3Dv%5E%7B2%7D%2FR)
By energy conservation (and common sense), we know that the speed at the top of the roller coaster is smaller. Therefore if the roller coaster has similar accelerations (therefore also similar normal forces) at the top and at the bottom, it is necessary that the difference in speed be compensated with the radius of curvature, i.e. smaller radius at the top than at the bottom.
The answer is; The sun will turn into a red giant
This occurs as the hydrogen fuel in the fusion core of the sun begins to deplete. When the hydrogen fuel is depleted, the star begins to collapse on itself due to gravity. This pressure causes the heavier helium to begin fusing in the area around the core. The stars begin to heat up again producing enough energy to push out the outer shells of the star. This causes the star to expand. The outer shells become less hot hence the decrease in luminosity of red giants.