Question

A 2.5-kg rock is dropped off a 32-m cliff and hits a spring, compressing it 57 cm. What is the spring constant? Round your answer to two significant figures.

Answer 1

The answer is 4800 on the assignment. good luck

Answer 2

The spring constant of the spring is 2413.05 N/m.

What is spring constant?

This is the ratio of force to extension in an elastic material.

To calculate the spring constant of the spring we use the relation below.

Formula:

• mgh = ke²/2............. Equation 1

Where:

• m = mass of the rock
• g = acceleration due to gravity
• h = height
• k = spring constant

• e = extension/compression of the spring

Make k the subject of the equation

• k = 2mgh/e²................ Equation 2

From the question,

Given:

• m = 2.5 kg
• e = 57 cm = 0.57 m
• g = 9.8 m/s²
• h = 32 m

Substitute these values into equation 2

• k = (2.5×32×9.8)/(0.57²)
• k = 2413.05 N/m.

Hence, the spring constant of the spring is 2413.05 N/m.

Learn more about spring constant here: https://brainly.com/question/1616151

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