i) the force "F" acting on a body of
mass "m', moving with velocity along
the circumference of a circle of radius r
establish relationship between force
and mass, velocity and radius if F depends
these quantities. We dimensions
analysis.
Answers
Answer:
The centripetal force F acting on a particle moving uniformly in a circle may depend. upon mass (m), velocity (v), and radius (r) of the circle.
Answer:
The force F acting on a body with mass m and velocity v is the rate of change of momentum: F=(d/dt)(mv). If m is constant, this becomes F=ma, where a=dv/dt is the acceleration. But in the theory of relativity the mass of a particle varies with v as follows: m=m0/√1−v2/c2.
Explanation:
From the given figure,
The resultant of the forces F
1
and F
2
will be =
2
F.
Now,
Since F
3
is 135
o
to F
2
and resultant of F
1
andF
2
is 45
o
to F
1
i.e. both are in exactly opposite direction,
So total force acting on the body will be F
t
=F
3
−(resultant of F
1
andF
2
)
i.e. F
t
=
2
F−F=F(
2
−1)
So the acceleration on the body due to these three forces will be
a
f
=F
t
/m=(
2
−1)F/m=(
2
−1)ma/m=(
2
−1)a .