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In this lesson, we will learn how to apply the principle of the conservation of energy to systems involving kinematics, resistive forces, and other variable forces.

Q1:

A comet is observed at a distance of 6.50 AU from the center of the Sun, moving at a speed of 36.4 km/s. The comet has a mass of 1 . 0 0 × 1 0 2 1 kg. Find the total energy of the comet. Use a value of 1 . 4 9 6 × 1 0 1 1 m for one AU.

Q2:

Engineers desire to model the magnitude of the elastic force of a bungee cord using the equation

where 𝑥 is the stretch of the cord along its length and 𝑎 is a constant. If it takes 22.0 kJ of work to stretch the cord by 16.7 m, determine the value of the constant 𝑎 .

Q3:

An 80.0 kg sprinter accelerates from rest to 12.0 m/s in 2.90 s.

What is the average power output of the sprinter in watts?

What is the average power output of the sprinter in horsepower? In metric horsepower, 1 hp = 735.5 W.

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