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A 6kg wood is released from rest against a spring of spring constant 200 n/m compressed a distance 2m the mass then slides up an incline and reaches a maximum height before sliding back down there is no friction what is the max height reached

Sagot :

MathPhys

Answer:

6.8 m

Explanation:

Energy is conserved. The initial elastic potential energy (EE) stored in the spring is converted to gravitational potential energy (PE) in the wood at its maximum height. Elastic energy is equal to half the spring constant (k) times the square of the compressed distance (x). Gravitational potential energy is equal to the weight (mg) times the height (h).

EE = PE

½ kx² = mgh

½ (200 N/m) (2 m)² = (6 kg) (9.8 m/s²) h

h = 6.8 m

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