Answer:
The tension increases to four times its original value.
Explanation:
v = Velocity
r = Radius
m = Mass of stone
The centripetal force is
![F_c=m\dfrac{v^2}{r}](https://tex.z-dn.net/?f=F_c%3Dm%5Cdfrac%7Bv%5E2%7D%7Br%7D)
The tension will balance the centripetal force
![T=m\dfrac{v^2}{r}](https://tex.z-dn.net/?f=T%3Dm%5Cdfrac%7Bv%5E2%7D%7Br%7D)
![\\\Rightarrow T\propto v^2](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20T%5Cpropto%20v%5E2)
![\dfrac{T_1}{T_2}=\dfrac{v_1^2}{v_2^2}\\\Rightarrow \dfrac{T_1}{T_2}=\dfrac{v_1}{2^2v_1^2}\\\Rightarrow \dfrac{T_1}{T_2}=\dfrac{1}{4}\\\Rightarrow T_2=4T_1](https://tex.z-dn.net/?f=%5Cdfrac%7BT_1%7D%7BT_2%7D%3D%5Cdfrac%7Bv_1%5E2%7D%7Bv_2%5E2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7BT_1%7D%7BT_2%7D%3D%5Cdfrac%7Bv_1%7D%7B2%5E2v_1%5E2%7D%5C%5C%5CRightarrow%20%5Cdfrac%7BT_1%7D%7BT_2%7D%3D%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5CRightarrow%20T_2%3D4T_1)
The new tension will be 4 times the old tension
Newton's First Law states that an object would remain at rest or in uniform motion in a straight line unless an unbalanced force acts upon it. So the speed would be the one that remains constant.
The answer is C .Y on the chart. im 100% its right . hope this helps .
Answer:
Record your measured values of displacement and velocity for times t = 8.0 seconds and t = 10.0 seconds in the columns below.
Next, use the measured displacement and velocity values at t = 7.0 seconds and t = 9.0 seconds to interpolate the values of displacement and velocity at t = 8.0 seconds.
Use the following formula to interpolate and extrapolate. Remember, x and y here represent values on the x and y axes of the graph. The x values will really be time and the y values will be either displacement (x) or velocity (vx).
Explanation:
Record your measured values of displacement and velocity for times t = 8.0 seconds and t = 10.0 seconds in the columns below.
Next, use the measured displacement and velocity values at t = 7.0 seconds and t = 9.0 seconds to interpolate the values of displacement and velocity at t = 8.0 seconds.
Use the following formula to interpolate and extrapolate. Remember, x and y here represent values on the x and y axes of the graph. The x values will really be time and the y values will be either displacement (x) or velocity (vx).
This is the answer