Question

convert 10^6 dynes into newton using dimensional formula

Answer 1

Answer:10N

Explanation:

10^6 dyne = 10^6 g cm s^-2 = 10^6 g cm s^-2 x 1kg/1000g x 1m/100cm

= 10^6/10^5 kg m s^-2 or N.

To convert dyne to Newton.

Divide the force in dyne by 10^5.

Answer 2

Answer: 10⁶ dyn = 10 N

Explanation:

F = m.a

[F] = [m.a] = [M] × [LT-²] = [MLT-²]

¶ CGS system:

M1 = g

L1 = cm

T1 = s

¶ SI system:

M2 = kg

L2 = m

T2 = s

We know, n1u1 (CGS) = n2u2 (SI)

where, u2 = N (kgms-²), n1 = 10⁶, u1= dyn (gcms-²)

=> n1 = n2u2/u1

=> n1 = n2 (M1/M2)¹(L1/L2)¹(T1/T2)-² = 10⁶(1g/1kg)(cm/m)(1s/1s)-²

=> n1 = 10⁶ × (1/10³)(1/10⁵)(1s)-²

=> n1 = 10⁶ × 10-⁵ = 10

Therefore, 10⁶ dyn = 10 N