Answer:
The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.
Explanation:
initial speed of the stuntman is given as
![v = 28 m/s](https://tex.z-dn.net/?f=v%20%3D%2028%20m%2Fs)
angle of inclination is given as
![\theta = 15 degree](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2015%20degree)
now the components of the velocity is given as
![v_x = 28 cos15 = 27.04 m/s](https://tex.z-dn.net/?f=v_x%20%3D%2028%20cos15%20%3D%2027.04%20m%2Fs)
![v_y = 28 sin15 = 7.25 m/s](https://tex.z-dn.net/?f=v_y%20%3D%2028%20sin15%20%3D%207.25%20m%2Fs)
here it is given that the ramp on the far side of the canyon is 25 m lower than the ramp from which she will leave.
So the displacement in vertical direction is given as
![\delta y = -25 m](https://tex.z-dn.net/?f=%5Cdelta%20y%20%3D%20-25%20m)
![\delta y = v_y * t + \frac{1}{2} at^2](https://tex.z-dn.net/?f=%5Cdelta%20y%20%3D%20v_y%20%2A%20t%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20at%5E2)
![-25 = 7.25 * t - \frac{1}{2}*9.8* t^2](https://tex.z-dn.net/?f=-25%20%3D%207.25%20%2A%20t%20-%20%5Cfrac%7B1%7D%7B2%7D%2A9.8%2A%20t%5E2)
by solving above equation we have
![t = 3.12 s](https://tex.z-dn.net/?f=t%20%3D%203.12%20s)
Now in the above interval of time the horizontal distance moved by it is given by
![d_x = v_x * t](https://tex.z-dn.net/?f=d_x%20%3D%20v_x%20%2A%20t)
![d_x = 27.04 * 3.12 = 84.4 m](https://tex.z-dn.net/?f=d_x%20%3D%2027.04%20%2A%203.12%20%3D%2084.4%20m)
since the canyon width is 77 m which is less than the horizontal distance covered by the stuntman so here we can say that stuntman will cross the canyon.
Answer:
0.00493 m/s
Explanation:
T = Temperature of the isotope = 85 nK
R = Gas constant = 8.341 J/mol K
M = Molar mass of isotope = 86.91 g/mol
Root Mean Square speed is given by
![v_r=\sqrt{\dfrac{3RT}{M}}\\\Rightarrow v_r=\sqrt{\dfrac{3\times 8.314\times 85\times 10^{-9}}{86.91\times 10^{-3}}}\\\Rightarrow v_r=0.00493\ m/s](https://tex.z-dn.net/?f=v_r%3D%5Csqrt%7B%5Cdfrac%7B3RT%7D%7BM%7D%7D%5C%5C%5CRightarrow%20v_r%3D%5Csqrt%7B%5Cdfrac%7B3%5Ctimes%208.314%5Ctimes%2085%5Ctimes%2010%5E%7B-9%7D%7D%7B86.91%5Ctimes%2010%5E%7B-3%7D%7D%7D%5C%5C%5CRightarrow%20v_r%3D0.00493%5C%20m%2Fs)
The Root Mean Square speed is 0.00493 m/s
Answer: Option B) False
Explanation:
Current is the movement of negative charges called electrons. Protons, neutrons and electrons are the three subatomic particles that make up particles of the conductors that transmit current, however electrons are negatively charged and their gain or loss determines movement of electric current.
Thus, the statement is false