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An object with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²?
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An object with a mass 5 kg is dropped from the top of a building if th...
**Solution:**
To find the height of each floor, we need to calculate the total height fallen by the object and divide it by the number of floors.
Given:
- Mass of the object (m) = 5 kg
- Acceleration due to gravity (g) = 10 m/s²
- Time interval (t) = 4 s - 2 s = 2 s
- Distance fallen (s) = The difference in height between the 95th and 65th floor
**Calculating the distance fallen:**
To calculate the distance fallen by the object, we can use the equation of motion:
s = ut + (1/2)at²
Here, the initial velocity (u) is zero as the object is dropped from rest.
s = 0 + (1/2)(10)(2)²
s = 20 m
Therefore, the object falls a distance of 20 meters between the second and fourth seconds.
**Calculating the height of each floor:**
To find the height of each floor, we need to divide the total distance fallen by the number of floors.
Number of floors = 95 - 65 + 1 = 31 (since we include both the 95th and 65th floor)
Height of each floor = Distance fallen / Number of floors
= 20 m / 31
≈ 0.645 m
Therefore, the height of each floor is approximately 0.645 meters.
In conclusion, when an object with a mass of 5 kg is dropped from the top of a building and falls from the 95th to the 65th floor between the second and fourth seconds, the height of each floor is approximately 0.645 meters.
To find the height of each floor, we need to calculate the total height fallen by the object and divide it by the number of floors.
Given:
- Mass of the object (m) = 5 kg
- Acceleration due to gravity (g) = 10 m/s²
- Time interval (t) = 4 s - 2 s = 2 s
- Distance fallen (s) = The difference in height between the 95th and 65th floor
**Calculating the distance fallen:**
To calculate the distance fallen by the object, we can use the equation of motion:
s = ut + (1/2)at²
Here, the initial velocity (u) is zero as the object is dropped from rest.
s = 0 + (1/2)(10)(2)²
s = 20 m
Therefore, the object falls a distance of 20 meters between the second and fourth seconds.
**Calculating the height of each floor:**
To find the height of each floor, we need to divide the total distance fallen by the number of floors.
Number of floors = 95 - 65 + 1 = 31 (since we include both the 95th and 65th floor)
Height of each floor = Distance fallen / Number of floors
= 20 m / 31
≈ 0.645 m
Therefore, the height of each floor is approximately 0.645 meters.
In conclusion, when an object with a mass of 5 kg is dropped from the top of a building and falls from the 95th to the 65th floor between the second and fourth seconds, the height of each floor is approximately 0.645 meters.
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An object with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²? 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 with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²?.
An object with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²? 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 with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object with a mass 5 kg is dropped from the top of a building if the object falls from 95th to 65th floor between second and fourth seconds of its falling what is the height of each floor assum g is equal to 10 m/s²?.
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