State Newton 's Second law of motion? A 400N force is applied on a body of mass 50kg. How much time will the body take to travel 64m from rest?
Answers
Answer:
Newton's second law states that the acceleration of an object is directly related to the net force and inversely related to its mass. ... So, the force/mass ratio (from the equation acceleration = force/mass) is the same for each. Therefore, the acceleration is the same and they reach the ground at the same time.
Explanation:
SWER
a) According to Newton's second law of motion: The rate of change of momentum of a body is equal to applied force,and takes place in the direction in which the force acts.
Consider a body of mass m having initial velocity u. the initial momentum of this body will be mu.Suppose a force F acts on this body for time t causing the final velocity to be v. The final momentum of the body will be mv. Now the change in momentum is mv−mu and the time taken for this charge is t. So according to Newton's second law of motion,
F=
t
mv−mu
F=
t
m(v−u)
But
t
(v−u)
represents change in velocity with time i.e.acceleration 'a'.So by replacing
t
v−u
with a in the above relation, we get.
F=m×a
Thus,the force acting on a body is directly proportional to the product of mass and acceleration produced in the body by the action of the force.Thus,Newton's second law gives the relationship between force an acceleration.
b) Mass of vehicle m=1000 kg
Initial velocity u=20 m/s
Final velocity v=0 m/s
Distance covered before stopping s=50 m
Using third equation motion
v
2
−u
2
=2 as
0
2
−20
2
=2×a×50
Accelerationa=
2×50
−400
=−4m/s
2
Unbalanced Force =m×a=1000×−4=−4000 N
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