Question

(i) Prove that newton's first law is contained in second law .

(ii) Convert 10 newton into dyne using dimensional analysis .​

Answer 1

Answer:

The definition of Newton's first law is: The velocity of an object will not change unless the object is acted on by an outside force. The definition of Newton's second law is: When an object is acted on by an outside force, the strength of that force is equal to the mass of the object times the resulting acceleration.

Answer 2

Explanation:

i... Newton's first law tells that the body's state of motion or rest is unchanged until and unless it is acted upon by some external force. The second law tells us about the change in the state of motion or rest when a force (external force) is applied on the body. ... Therefore first law can be derived from the second law.Aug 2, 2012

ii....Dimensional formula of Force F [M1 L1 T-2]

So a =1, b=1, c=-2

Now because Newton is in m.k.s system,We Have.

M1 = 1kg, L1 = 1m, T1 = 1s

M2 = 1g, L2 = 1cm, T2 = 1s

n1= 1 Newton

n2 = ?

Using the formula

n2= n1[M1/M2]a [L1/L2]b [T1/T2]c

n2= 1 [1kg/1g]1 [1m/1cm]1 [1s/1s]-2

n2= 1[1000g/1g]1 [100cm/1cm]1 x1

n2= 1000×100 = 100000

= 10⁵dynes

so 10N = 10*10⁵ = 10⁶ dyne

(second is copied a bit)