Question

The linear momentum P of a particle varies with time as follows, P= a + Bt, where a and B are constants.
The net force acting on the particle is
(1) Proportional to t
(2) Proportional to t
(3) Zero
(4) Constant
.
.
.
plz ans fast​

Answer 1

Given :-

P = a + Bt

As we know that,

Rate per change in Momentum is Force. This is according to the Newton's Second Law of Motion.

So if we differentiate Momentum (P) w.r.t time (dt) then we will get force.

F = dP/dt

F = d(a+Bt)/dt

Now we know that differentiation of constant is equal to Zero and as (a and B) are constants.

F = 0 N

Hence,

The Net force acting on the particle = F = 0 N.

Dimensions of Momentum,

[P] = [MLT-¹]

Dimension of Force,

[F] = [MLT-²]