the position of the particle is represent by y= ut-1/2gt2. what is the force acting on the particle?
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Answer:
v=ut+
2
1
×gt
2
Differentiate y with respect to t which gives velocity as dy/dt = v
dt
dv
= u+
2
1
g(2t)
v=u + gt -------------------Eqn (1)
Differentiate v with respect to t which gives velocity as d2y/dt2 = dv/dt = a
dt
dv
= 0 + g
a = g ----------------------Eqn (2)We know that force acting on a mass m is given by F = ma
Now from Eqn (2), substitute a =g, Hence, F = mg
hope it helps you
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