a simple harmonic oscillator consists of a block of mass 4.2 kg and spring with spring constant 229 n/m on a frictionless horizontal surface. the block is moved from equilibrium and released from rest. if the block's maximum speed 13.6 m/s, calculate the amplitude a of the motion in meters.



Answer :

The amplitude a of the motion is 0.498m.

What is meant by energy conservation?

energy-saving measures A fundamental law of physics and chemistry states that an isolated system's total energy remains constant despite internal changes. The first law of thermodynamics is based on this principle, which is most frequently stated as "energy cannot be created or destroyed."

Energy is neither created nor destroyed, according to the law of conservation of energy. For instance, when you roll a toy car down a ramp and it collides with a wall, kinetic energy is converted to potential energy.

Using conservation energy:

Loss in kinetic energy = gaining in spring

1/2mv² = 1/2kd²

mv² = kd²

d² = mv²/k

d² = 4.2×13.6/229

d² = 0.249

d = 0.498m.

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