Question

Using dimensional symbols to prove this equation is correct:
½ mv²= Fs , which m= mass, V²= velocity,F=force and S= distance.

Answer 1

Answer:

Prove : 1/2mv² = Fs

solution :

given :  

m = mass

v² = velocity

F = force

S = distance

⇒ we know that, F = ma --------→ equation 1

   and a = v - u / t ----------------→ equation 2

let u = 0 m/s

1/2 m[v]² - [u]² = ma×s [ from equation 1 ]

1/2 m[v-u] [v+u] = m [ v-u/t] × s

1/2 m[v+u] = m/t × s

but u = 0 m/s

1/2mv = m/t×s

1/2v = s/t

v = 2s/t

f.o.l.l.o.w me if the answer was helpful