Physics, 22.11.2019 22:31 dontcareanyonemo

At the situations will the total angular momentum of a system remain constant? a) no net force acting on the system. b) no net external torque acting on the system. c) no energy transfer across the boundary of the system. d) cannot be determined.

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Answer from: mistymjoy

No net external torque acting on the system.

Explanation:

The law of conservation of angular momentum defines that "in an isolated system, the total angular momentum of a system remain constant if no net external torque acting on the system". The mathematical description is given by :

In an isolated system,

$\tau=\dfrac{dL}{dt}$

$\dfrac{dL}{dt}=0$

So, L = constant

So, the correct option is (B).

Answer from: Quest

My answer is opptionc, just check with anyone else

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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