# A new event has been proposed for the Winter Olympics. An athlete will sprint 150.0, m ,...

## Question:

A new event has been proposed for the Winter Olympics. An athlete will sprint {eq}150.0\, m {/eq}, starting from rest, then leap onto a {eq}20.8\, kg {/eq} bobsled. The person and bobsled will then slide down a {eq}46.0\, m {/eq} long ice-recovered ramp, sloped at {eq}\theta = 21.0^{\circ} {/eq} , and into a spring with a carefully calibrated spring constant of {eq}1544.0\, N/m {/eq}. The athlete who compresses the spring the farthest wins the gold medal. Jennifer, whose mass is {eq}40.0\, kg {/eq}, has been training for this event. She can reach a maximum speed of {eq}14.7\, m/s {/eq} in the {eq}150.0\, m {/eq} dash.

How far will Jennifer compress the spring?

## Spring:

The spring constant and the displacement of the spring help us to determine the energy stored by the spring. If the magnitude of spring constant is high, then the spring sensitivity will be less. It will deform less for the same amount of applied force.

## Answer and Explanation:

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Given data

• The mass of the bobsled is: {eq}{m_1} = 20.8\;{\rm{kg}} {/eq}
• The mass of the Jennifer is: {eq}{m_2} = 40\;{\rm{kg}} {/eq}
• The angle of...

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#### Learn more about this topic: Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.