Question

ML²T-²
are
dimensions of
(a)kinetic energy
(b)linear momentum
(c)Power
(d)force
​

Answer 1

ANSWER:

• Option a) [ ML²T⁻² ] is the dimensions of Kinetic Energy.

GIVEN:

• The dimension is [ ML²T⁻² ].

TO FIND:

• The correct option.

EXPLANATION:

KINETIC ENERGY:

• K.E = 1/2 mv²

• Unit of Kinetic Energy = joules

• Joules = kgm²/s² [As K.E = 1/2 mv² ]

• [ K.E ] = [ M L² T⁻² ]

LINEAR MOMENTUM:

• p = mv

• Unit of Linear Momentum = kgm/s

• [ p ] = [ M L² T⁻¹ ]

POWER:

• P = W / t

• Unit of Power = Watt

• Unit of Work = J, Unit of Time = s

• Unit of Power = J / s

• Watt = kgm²/s³

• [ K.E ] = [ M L² T⁻³ ]

FORCE:

• F = ma

• Unit of Force = newton

• Newtom = kgm/s² [As F = ma ]

• [ F ] = [ M L T⁻² ]

Hence [ ML²T⁻² ] is the dimensions of Kinetic Energy.