Question

State and prove Newton's
second law of motion find the
acceleration produced in a body
of mass 1000 kg undergoes a
force of 200 Newton?​

Answer 1

Answer:

hope it will help you

Explanation:

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

Answer 2

Answer:

Newton's second law of motion can be formally states as follow. the acceleration of an object as prodused by anet force, and inversely proportional to the magnitude of the next force in the same direction as the net force, and inversely proportional to the mass of the object