could you do just \"a\" with explenation!! Your answer is partially correct. Try
ID: 1413041 • Letter: C
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could you do just "a" with explenation!!
Your answer is partially correct. Try again A pendulum consists of a 3.3 kg stone swinging on a 4.4 m string of negligible mass. The stone has a speed of 7.6 m/s when it passes its lowest point. (a) What is the speed when the string is at 61 to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? (a) Number 3.9432289272 Unit m/s (b) Numbe 70.71658477 Unit degrees (c) Number 95.304 Unit JExplanation / Answer
m = 3.3 Kg
v = 7.6 m/s
L = 4.4 m
At Lowest point, All the Energy is due to kinetic Energy = 1/2*m*v^2
K.E = 1/2 * 3.3 * 7.6^2 J
K.E = 95.3 J
At Position 61o to the Vertical , Let speed be v
Total Energy = Kinetic Energy + Potential energy
Total Energy = 1/2 * 3.3 * v^2 + 3.3 * g * (L - L*cos(61))
Using Energy Conservation
1/2 * 3.3 * v^2 + 3.3 * 9.8 * (4.4 - 4.4*cos(61)) = 95.3
v = 3.65 m/s
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