Question

Show that the units of g, previously given as N/kg, are also m/s^2.

Answer 1

The units of g, previously given as N/kg, can also be expressed as m/s². This is because the unit of force, N, is equivalent to kg x m/s².

Step-by-step explanation:

The units of g, previously given as N/kg, can also be expressed as m/s^2. To understand why, you need to know that the unit of force, N, is equivalent to kg x m/s². Therefore, when the units of g are converted from N/kg to m/s^2, the resulting units are the same.

For example, the unit of energy can be expressed as J = N·m = kg · m²/s², which looks like mass times velocity-squared. This is consistent with the definition of Newtons. Additionally, in Newton's Second Law, force is equal to mass in kg multiplied by acceleration in m/s², resulting in units of kg. m/s².

Therefore, the units of g, given as N/kg, can be equivalently expressed as m/s² due to the relationship between force, mass, and acceleration.

Answer 2

Step-by-step explanation:

N/ Kg .................(1)

where,

1N= 1( Kg× m)/ s² ( sub in 1)

so,

(Kg×m)/ ( kg × s²)

kg is removed with kg

= m/ s²