1. Define the principle of conservation of linear momentum.Deduce the law of conservation of linear momentum from Newtons third law of motion.

2.Why circular roads are banked? Derive an expression for angle of banking for safe circular turn?

3.Obtain an expression for minimum velocity of projection of a body at the lowest pint for looping a vertical loop.

4.Show that the area under the force-time graph gives the magnitude of the impulse of the given force for the following case when
(i) force is constant (ii)Variable force.

5.Derive an expression for acceleration of a body down a rough inclined plane?(sliding down)

Due to time constraints we shall only be able to answer three questions...

(1)

Please refer to the following post - Linear Momentum

https://www.meritnation.com/ask-answer/question/state-the-principle-of-conservation-of-linear-momentum/laws-of-motion/3071476

.

(2)

Banking of Roads

https://www.meritnation.com/ask-answer/question/hiwhat-is-meant-by-banking-of-roads-derive-an-expression-fo/physics/2669455

.

(3)

Rough inclined plane

here,

friction force, f = μR = μmgcosθ

μ is the coefficient of the friction.

Net force in forward direction, F = mgsinθ- μmgcosθ

now, as F = ma

ma =  mgsinθ- μmgcosθ

thus, acceleration will be

a = g(sinθ- μcosθ)

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pls help me as i am doing my physics re-exam :/

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