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The force constant of the spring is determined as 14,222.2 N/m.
<h3>Force constant of the spring</h3>
Apply the principle of conservation of energy,
K.E = U
where;
- K.E kinetic energy of the elevator
- U is elastic potential energy of the spring
¹/₂mv² = ¹/₂kx²
mv² = kx²
k = mv²/x²
Where;
- m is mass of the elevator
- v is speed
- x is compression of the spring
k = (2000 x 8²)/(3²)
k = 14,222.2 N/m
Thus, the force constant of the spring is determined as 14,222.2 N/m.
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Answer:
momentum =0
kinetic energy >0, positive
Explanation:
The final momentum is zero but the final kinetic energy is positive.
The momentum is zero because momentum is the sum of the mass×velocity for each component. momentum is conserved
The KE is positive because KE is the sum of the 1/2×mass×velocity^2.
Whereas velocity can be positive and negative since it is (it's what makes the momentum zero because on is positive and one is negative), the velocity squared will always be positive.
Adding together two positives will always be a positive number.
Answer with Explanation:
We are given that
String makes an angle w.r.t vertical=
a.We have to derive an expression for the magnitude of the acceleration of the van in terms of the angle and magnitude g of the acceleration due to gravity.
According to newton's second law
b.
c.Velocity=Constant
We have to find the angle