Answer:
3.32 m/s
Explanation:
From the law of conservation of energy, the sum of mechanical and kinetic energy should be equal to the 10 J given. Potential energy is given by mgh where m is mass, g is acceleration due to gravity and h is the height. For this case, [tex]h= l(1-cos\theta)[/tex] and l is string length, given as 2 m, \theta is given as 50 degrees. Kinetic energy is given by [tex]0.5mv^{2}[/tex] and it is this velocity that is unknown.
[tex]10J=0.5\times 0.8kg\times v^{2}+ 0.8kg\times 9.81\times 2m(1-cos 50^{\circ})\\v\approx 3.32 m/s[/tex]
Given,
The height of the pendulum will be:
→ [tex]h = L(1- Cos \Theta)[/tex]
By putting the values, we get
[tex]= 2(1 - Cos\ 50)[/tex]
[tex]= 0.7144 \ m[/tex]
By using the conservation of energy, we get
→ [tex]10 = \frac{1}{2} mv^2 +mgh[/tex]
[tex]10 = \frac{1}{2} (0.8)v^2+0.8\times 9.8\times 0.7144[/tex]
[tex]v = 3.32 \ m/s[/tex]
Thus the response above is right.
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