Question

example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?

Answer 1

The initial potential energy stored in the spring cannot be determined without the values for the spring constant and displacement.

Step-by-step explanation:

The initial potential energy stored in the spring can be calculated using the formula for elastic potential energy:

U = 1/2kx²

where U is the potential energy, k is the spring constant, and x is the displacement of the spring. However, the question does not provide the values for k and x, so it is not possible to calculate the exact amount of energy initially stored in the spring.

Answer 2

The initial energy stored in the spring is calculated using the formula for spring potential energy, U = 1/2 k x², using the known spring constant and the displacement from equilibrium.

Step-by-step explanation:

The amount of energy initially stored in a spring can be calculated using the formula for spring potential energy, which is U = 1/2 k x², where U is the potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

For example, using the given details in Example 20 cm, for a spring with a displacement of 6 cm and a spring constant of 4 N/cm, the potential energy is calculated as U = 1/2 × 4 N/cm × (6 cm)² = 0.72 J. This formula is applied in various examples provided, where spring constant and compression or displacement are known.