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An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!!
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An object is dropped from a height of 10 m. If the energy of the objec...
Initial Energy Calculation
The object is dropped from a height of 10 m. The potential energy (PE) at this height can be calculated using the formula:
- PE = m * g * h
(where m = mass, g = acceleration due to gravity (approximately 9.81 m/s²), and h = height)
At 10 m, the potential energy is maximum.
Energy After Impact
After striking the ground, the object's energy is reduced to 40%. Thus, the remaining energy is:
- Remaining Energy = 0.40 * Initial PE
This remaining energy will convert back into potential energy as the object bounces back up.
Height Calculation After Bounce
To find the new height (h'), we can set the remaining energy equal to the potential energy at the new height:
- Remaining Energy = m * g * h'
Substituting the remaining energy:
- 0.40 * m * g * 10 = m * g * h'
Since mass (m) and gravity (g) cancel out, we simplify:
- 0.40 * 10 = h'
This gives:
- h' = 4 m
Conclusion
The object will bounce back to a height of 4 meters after the impact, as it retains 40% of its original energy.
- Original Height: 10 m
- Height After Bounce: 4 m
- Energy Retained: 40%
This illustrates how energy conservation principles apply during elastic collisions and the maximum height achieved post-impact.
The object is dropped from a height of 10 m. The potential energy (PE) at this height can be calculated using the formula:
- PE = m * g * h
(where m = mass, g = acceleration due to gravity (approximately 9.81 m/s²), and h = height)
At 10 m, the potential energy is maximum.
Energy After Impact
After striking the ground, the object's energy is reduced to 40%. Thus, the remaining energy is:
- Remaining Energy = 0.40 * Initial PE
This remaining energy will convert back into potential energy as the object bounces back up.
Height Calculation After Bounce
To find the new height (h'), we can set the remaining energy equal to the potential energy at the new height:
- Remaining Energy = m * g * h'
Substituting the remaining energy:
- 0.40 * m * g * 10 = m * g * h'
Since mass (m) and gravity (g) cancel out, we simplify:
- 0.40 * 10 = h'
This gives:
- h' = 4 m
Conclusion
The object will bounce back to a height of 4 meters after the impact, as it retains 40% of its original energy.
- Original Height: 10 m
- Height After Bounce: 4 m
- Energy Retained: 40%
This illustrates how energy conservation principles apply during elastic collisions and the maximum height achieved post-impact.
Community Answer
An object is dropped from a height of 10 m. If the energy of the objec...
4m
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An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!!
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An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!! for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!! covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!!.
An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!! for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!! covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is dropped from a height of 10 m. If the energy of the object is reduced to 40% after striking the ground how much high can the object bounce back??? plz explain!!!.
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