After they are dropped, determine the kinetic energy of each ball bearing just before they hit the ground.
Question
After they are dropped, determine the kinetic energy of each ball bearing just before they hit the ground.
Solution
To determine the kinetic energy of each ball bearing just before they hit the ground, you need to follow these steps:
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Measure the height from which each ball bearing is dropped. Let's denote this as 'h'.
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Determine the mass of each ball bearing. Let's denote this as 'm'.
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Use the formula for gravitational potential energy to calculate the potential energy of each ball bearing at the height 'h'. The formula is PE = mgh, where 'g' is the acceleration due to gravity (approximately 9.8 m/s² on Earth).
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Since there are no other forces acting on the ball bearings (assuming air resistance is negligible), the total mechanical energy is conserved. This means that the potential energy at the height 'h' is converted into kinetic energy just before the ball bearings hit the ground.
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Therefore, the kinetic energy (KE) of each ball bearing just before they hit the ground is equal to the potential energy at the height 'h'. So, KE = PE = mgh.
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Plug in the values of 'm', 'g', and 'h' into the formula to get the kinetic energy of each ball bearing just before they hit the ground.
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