check the correctness of the equation E= mgh
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Answered by
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Hey !!!
As we know that E means energy
E = mgh
and also E = 1/2mv²
if 1/2mv² = mgh that means E = mgh prooved
let's see , is E = mgh
where m is the mass of the body , v is it's velocity, , g is the acceleration due to gravity and h is the height
check whether this equation is dimensinally correct
Solution :- The dimensions of lhs mgh
= [M ] [LT-² ] ✓L ] = [M] [L² T-² ]
= [Ml²T-² ]
From Rhs ..
the dimension or Rhs 1/2mv²= [M] [LT-²] [L]
= [M] [L²T-²]
= [ML²T-²]
The dimensions of LHS and RHS are the same and hence the equation is dimensionally correct .
so we can say E = mgh
_______________________________
Hope it will helps you !!!
@Rajukumar111
As we know that E means energy
E = mgh
and also E = 1/2mv²
if 1/2mv² = mgh that means E = mgh prooved
let's see , is E = mgh
where m is the mass of the body , v is it's velocity, , g is the acceleration due to gravity and h is the height
check whether this equation is dimensinally correct
Solution :- The dimensions of lhs mgh
= [M ] [LT-² ] ✓L ] = [M] [L² T-² ]
= [Ml²T-² ]
From Rhs ..
the dimension or Rhs 1/2mv²= [M] [LT-²] [L]
= [M] [L²T-²]
= [ML²T-²]
The dimensions of LHS and RHS are the same and hence the equation is dimensionally correct .
so we can say E = mgh
_______________________________
Hope it will helps you !!!
@Rajukumar111
shagun3412:
thanku very much rajkumar
Answered by
1
Answer:
P.E=mgh
[M¹L¹T-²]=[M¹][ML¹T-²][L¹]
[M¹L²T-²]=[M¹L²T-²]
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