8. How far will a brick starting from rest fall freely in 3.0 seconds?
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Answer:
When object falls freely we can say
When object falls freely we can sayits initial speed will be ZERO
When object falls freely we can sayits initial speed will be ZEROand its acceleration due to gravity must be
When object falls freely we can sayits initial speed will be ZEROand its acceleration due to gravity must beNow we need to find the distance of free fall in 3 s of time
When object falls freely we can sayits initial speed will be ZEROand its acceleration due to gravity must beNow we need to find the distance of free fall in 3 s of timeSo here we will use kinematics
When object falls freely we can sayits initial speed will be ZEROand its acceleration due to gravity must beNow we need to find the distance of free fall in 3 s of timeSo here we will use kinematicsnow we will plug in all values in it
When object falls freely we can sayits initial speed will be ZEROand its acceleration due to gravity must beNow we need to find the distance of free fall in 3 s of timeSo here we will use kinematicsnow we will plug in all values in itSo it will fall by total distance of 44.1
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It depends on the acceleration due to gravity, which is pulling you. Now here I am giving the analysis on three different surfaces viz. Earth, moon and mars. These have different gravitational accelerations.
Assuming, no air drag or friction and gravity is constant.
1] On Earth, the gravity g = 9.8 m/s2
Applying Newton's 2nd equation,
S = ut + 1/2 at^2
Here a = g and u = 0 ( falling) and t = 3 sec
S = 1/2 gt^2
S = 44.1m
2] On Moon, gravity = g/6 = 1.635 m/s2
Here a = g/6 and u = 0 ( falling) and t = 3 sec
s = 1/2 gt^2
S = 7.3575m
3] On Mars, gravity = 0.38g = 3.7278 m/s2
Applying Newton's 2nd equation,
Here a = 0.38g = 3.72 m/s2 and u = 0 ( falling) and t = 3 sec
S = 1/2(3.72)(3)^2
S =16.775m
Henve from above we can see the height coverd in 3 sec at earth, moon and mars. Earth has highest gravity among these so the height covered at earth is higer than other two.
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