how to write using Newton formula as word problem please help me its an exam
Answers
Answer: Suppose an object of mass, m is moving along
a straight line with an initial velocity, u. It is
uniformly accelerated to velocity, v in time, t
by the application of a constant force, F
throughout the time, t. The initial and final
momentum of the object will be, p1
= mu and
p2
= mv respectively.
The change in momentum ∝ p2 – p1
∝ mv – mu
∝ m × (v – u).
The rate of change of momentum ∝
m v u × − ( )
t
Or, the applied force,
F ∝
m v u × − ( )
t
× − ( )
=
km v u
t
F (9.2)
= kma (9.3)
Here a [ = (v – u)/t ] is the acceleration,
which is the rate of change of velocity. The
quantity, k is a constant of proportionality.
The SI units of mass and acceleration are kg
and m s-2 respectively. The unit of force is so
chosen that the value of the constant, k
becomes one. For this, one unit of force is
defined as the amount that produces an
acceleration of 1 m s-2 in an object of 1 kg
mass. That is,
1 unit of force = k × (1 kg) × (1 m s-2).
Thus, the value of k becomes 1.
F = ma
Explanation: