Question

check the correctness of equation F 3=1/2mv^2 - 1/2 mv2+mgh​

Answer 1

Answer:

Explanation:

hello friend

1/2mv² = mgh

we have to check the correctness

by dimensional analysis

So LHS

Dimensional formula of 1/2mv²

will. be [M¹ L²T-²]

so now RHS

mgh

dimensional formula of mass is [M¹]

dimensional formula of g (acceleration due to gravity) is [ L¹ T-²]

dimensional formula of height(length) is [L¹]

so dimensional formula of mgh will be

= [M¹ L²T-² ]

so LHS = RHS

it means formulas are dimensionally correct.

Comment if you have any problem.

i hope this is right AND PLS MARK BRAINLIEST

Answer 2

Explanation:

We know ForceF=mass×acceleration----------(1)

And given ForceF=

r

mv

2

----------(2)

Equating 1 and 2 dimensionaly we get ,

ma=

r

mv

2

MLT

−2

=ML

2

T

−2

L

−1

MLT

−2

=MLT

−2