Answer:
V = 4.826m/s, 716N
Explanation:
At the lowest swinging point, the net force acting on the child is equal to the centripetal force and it could be represented as
F = mv^2/r
2T-mg =mv^2/r
r(2T-mg) = mv^2
Divide both sides by m
r(2T-mg)/m = mv^2/m
r(2T/m-g) = v^2
V= √ r(2T/m-g)
Where v is the velocity
r is the length of the chain
m is the mass of the child in kg
T is the tension in Newton
g is the acceleration due to gravity
Given that g = 9.8m/s^2
T = 358N
m = 41.0kg
r = 3.04m
Substituting the values into the formula
V = √ 3.04( 2*358/41 -9.89
V = √ 3.04 ( 716/41 - 9.8 )
V = √3.04 ( 17.463-9.8 )
V = √3.04( 7.6634)
V = √23.2967
V = 4.826m/s
For the second part which is the tension in the two chains
N - m*g = m*(v^2 / r)
N - (41)*(9.81) = (41)*(4.826^2 / 3.04)
N - 402.21 = 41×7.66
N - 402.21 = 314.112
N = 402.21 + 314.112
N = 716.332 newton
Approximately = 716N
Or alternatively, since there are two chains holding the swing, of which each chain is acted upon by a 358N tension. Hence = 2T
2*358 = 716N
Answer:
![\theta=165^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D165%5E%7B%5Ccirc%7D)
Explanation:
![F_1=27\ N](https://tex.z-dn.net/?f=F_1%3D27%5C%20N)
![F_2=30\ N](https://tex.z-dn.net/?f=F_2%3D30%5C%20N)
Resultant of two forces, F = 8 N
It is required to find the angle between two forces. The resultant of two force is given by the :
![F=\sqrt{F_1^2+F_2^2+2F_1F_2\cos\theta}](https://tex.z-dn.net/?f=F%3D%5Csqrt%7BF_1%5E2%2BF_2%5E2%2B2F_1F_2%5Ccos%5Ctheta%7D)
is the angle between F₁ and F₂
So,
![F^2=F_1^2+F_2^2+2F_1F_2\cos\theta\\\\\cos\theta=\dfrac{F^2-F_1^2-F_2^2}{2F_1F_2}\\\\\cos\theta=\dfrac{(8)^2-(27)^2-(30)^2}{2\times 27\times 30}\\\\\cos\theta=-0.966\\\\\theta=\cos^{-1}\left(-0.966\right)=165^{\circ}](https://tex.z-dn.net/?f=F%5E2%3DF_1%5E2%2BF_2%5E2%2B2F_1F_2%5Ccos%5Ctheta%5C%5C%5C%5C%5Ccos%5Ctheta%3D%5Cdfrac%7BF%5E2-F_1%5E2-F_2%5E2%7D%7B2F_1F_2%7D%5C%5C%5C%5C%5Ccos%5Ctheta%3D%5Cdfrac%7B%288%29%5E2-%2827%29%5E2-%2830%29%5E2%7D%7B2%5Ctimes%2027%5Ctimes%2030%7D%5C%5C%5C%5C%5Ccos%5Ctheta%3D-0.966%5C%5C%5C%5C%5Ctheta%3D%5Ccos%5E%7B-1%7D%5Cleft%28-0.966%5Cright%29%3D165%5E%7B%5Ccirc%7D)
So, the angle between two forces is 165 degrees.
Answer:
D
There is both a positive correlation and causation
By V=IR
A: 24=I*20
I = 1.2A
B: 220 = I*250
I = 0.88A
C: 6= I*3
I = 2 A
C,A,B