Physics, asked by duraideivanayagaraja, 6 months ago

the potential energy of body is given u=x+y^2+z^2, find the force in vector form​

Answers

Answered by sumitmane
1

Answer:

Calorie is a unit of energy, right? We know the SI unit of energy is Joule.

The dimension of energy is,

\longrightarrow\sf{[\,E\,]=M\,L^2\,T^{-2}}⟶[E]=ML2T−2

Hence 1 joule equals,

\longrightarrow\sf{1\ J=1\ kg\,m^2\,s^{-2}}⟶1 J=1 kgm2s−2

In the new system of units,

Unit of mass \sf{=a\ kg.}=a kg.

Unit of length \sf{=b\ m.}=b m.

Unit of time \sf{=c\ s.}=c s.

Hence unit of energy (magnitude of Joule) in new system is,

\longrightarrow\sf{J=(a\ kg)\times(b\ m)^2\times(c\ s)^{-2}}⟶J=(a kg)×(b m)2×(c s)−2

\longrightarrow\sf{J=ab^2c^{-2}\ kg\,m^2\,s^{-2}}⟶J=ab2c−2 kgm2s−2

We know that 1 calorie equals,

\longrightarrow\sf{1\ cal=4.2\ J}⟶1 cal=4.2 J

Hence magnitude of calorie in new system is,

\longrightarrow\sf{\underline{\underline{1\ cal=4.2\,ab^2c^{-2}\ kg\,m^2\,s^{-2}}}}⟶1 cal=4.2ab2c−2 kgm2s−2

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