First law of motion - class-XII

Physical independence of force is a consequence of first law of motion.

According to Newton's first law, a body moving with a constant velocity has zero acceleration and therefore experiences no net external force. Uniform speed only specifies the magnitude of velocity, meaning direction could change, which would require a centripetal force. Thus, only statement II correctly implies zero net force.

Newton's law of motion are applicable for matter which occupy some space and have some mass. It is not possible for any matter to travel with speed of light. Secondly the mass charges as the speed approaches speed of light. Newton's law is applicable only when mass is constant so light is correct option.

Inertia of body directly depends on its mass.

Motion always takes place along velocity of the body.So it does not necessarily takes place along the direction of force.
When a body moves with uniform velocity , there is no force acting on the body. So option B is incorrect and C is correct.
We know that magnetic force does not do work. It can change the direction of motion but never change the speed. So option D is incorrect.

Newton's law(s) is/are not applicable in non-inertial reference frame in newton's first law.

No, force is not needed to keep a moving body in motion. This is according to Newton's first law of motion.

Due to the force of friction between the ball and table top, it  opposes the motion of the ball. And, gradually its speed keeps on decreasing and the ball finally stops.

 Galileo's Law of Inertia stated: "A body moving on a level surface will continue in the same direction at constant speed unless disturbed."

Statement of Newton's first law of motion,

When a body moves with constant velocity, its acceleration is zero ($a=0$).

If the net force is not zero the plane would be moving upward or downward. Since its height is constant the net force is 0

Newton's second law of motion, $F=ma$, where $m$ is mass of an object which acquires acceleration $a$ when force $F$ is applied on it.
For a force of constant magnitude, $a\propto{\dfrac{1}{m}}$ i.e. acceleration is inversely proportional to mass.

The object moving with constant velocity must have zero acceleration i.e. $a _{net} = 0$. From Newton's IInd law the net external force must be zero in case of zero acceleration.

The premise of question is external force is zero and conclusion is  state of motion of body will be at rest or non uniform motion. However, the non uniform motion is only applicable in case of external force being applied to body, hence the statement is false.

Newton's first law indicates that if no net force acts on an object, then the velocity of the object remains unchanged.

In case of many forces acting on the body, it can be in equilibrium,which implies zero external force. For example in case of ladder supported by a wall there are frictional and gravitational forces working at wall and floor, which balances each other so that ladder does not move. Hence the given statement is false.

The ball is moving with a constant velocity, this implies the sum of external forces is zero

Any curve path can be assumed as summation if small circular arcs  of different radii. For a path to move at circular arc, there must be some force to provide it centripetal force to remain it in circular path. It is not possible to have motion along curved path without any force.

The relative motion between ball and toy wagon is zero before being pulled. As the wagon is pulled, the inertia of ball causes ball to maintain its state of rest, so the ball rolls backwards when wagon is moved in forward direction.

In a moving bus, passengers are in motion along with bus. When brakesare applied to stop a moving bus, bus comes in the position of rest. But because of tendency to be in the motion a person falls in forward direction.Similarly, when a bus is accelerated from rest, the tendency to be in rest, a person in the bus falls backwards.

Whenever an external force acts on a body there is a change in motion of the body. 

Luggage kept on the roof of a bus has the tendency to maintain its state of rest when bus is in rest and to maintain the state of motion when bus is in motion according to Newtons First Law of Motion. When bus will come in motion from its state of rest, in order to maintain the position of rest, luggage kept over its roof may fall down(backward). Similarly, when a moving bus will come in the state of rest or there is any sudden change in velocity because of applying of brake, luggage may fall down(forward) because of its tendency to remain in the state of motion.
This is the cause that it is advised to tie any luggage kept on the roof a bus with a rope so that luggage can be prevented from falling down.

The horse tied to cart is standing stationary on road denotes that the net force acting on the horse as well as the cart individually is zero. If it is standing stationary, it means that horse is applying force on the road perpendicularly and road is also applying same magnitude of force in the opposite direction, which makes the net force on horse to be zero and hence no forward force on the horse is there.

The table exerts a frictional force on the coin in the reverse direction and thus the coin stops across the table.

First Law of Newton states that when viewed in an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity unless acted upon by an external force.

Newton's first law of motion states that if an object experiences no net force, then its velocity is constant. So, force is not required to keep object moving with uniform velocity.

Newton's first law of motion states that the object tends to remain in the initial state untill no external force is applied to it which is also called Galileo's law of inertia.

For the body to be stationary, net external force acting on it must be equal to zero which is possible only when the combination of forces acting on it balance each other.

The dust particles get separated out from the carpet by beating it with a stick due to their inertia of rest which is explained by Newton's first law of motion.

Newton's first law of motion states that the body tends to remain in the initial state if no external force is applied to it which gave the idea of inertia.

Newton's laws of motion published in $1687$ by the scientist $Issac$ $Newton$ in his Philosophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy).

While the bus is moving, luggage tends to remain in inertia of motion state. When the bus stops, the luggage tends to resist the change and due to inertia of motion it moves forward and may fall off. That's why it is advised to tie any luggage kept on the roof of a bus with a rope.

Law of inertia states that the body tends to remain in the same state (regarding its velocity and direction) untill no external force is acting on it.

Newton's First Law of Motion - sometimes referred to as the law of inertia states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

Physical independence of force is a con-sequence of 'X'.

Since train is moving with uniform velocity so when the thrower throws the ball upward ball has already acquire the same velocity as that of moving train and have moved the same distance as that of thrower. 

According to law of inertia of motion a body will continue moving with constant velocity until unless any force is acting on it. When a bus is moving straight the passengers inside are also moving straight but when suddenly bus turn left passengers still continue to move straight  because no force is acting on passengers so they will move with same magnitude and direction i.e. outwards when bus turns .

Newton's first law of motion gives definition of force.

Newton's Law is only valid in inertial frame of reference. If there is a non - inertial frame of reference then it won't be valid. 

If force on any body is zero than its acceleration should be zero that means its velocity would remain constant.

Watt-sec is energy (Joules). Coulomb-volt is energy (Joules). Newton-metre is energy (Joules). Coulomb-farad is (Charge * Charge/Voltage) = Charge^2/Voltage, which is not energy.

Uniform speed means that a body is traveling at a constant speed along a straight line. So it has no acceleration. Thus net weight $=ma=0$.

Answer is A.

If any body is in the state of rest or in uniform motion, it remains in that state until an external force is applied on it. 
So, if a body is initially moving with some constant velocity, it can continue to move with same velocity even if no external force is acting on it.
In fact, the effect of force is to accelerate and not just displace. For example, an object moving straight in space far away from any celestial objects will continue to move forever, although there is no force acting on it. This is due to Newton's first law of motion or law of inertia.
Hence, Both statement 1 and statement 2 are true and statement 2 is correct explanation of statement 1.

Newton's laws of motion published in $1687$ by the scientist $Issac$ $Newton$ in his Philosophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy).

While dusting we give a sudden serk our beat with stick because when we do that stick because when we do that the particle of carpet move with our help and the dust particle stays at rest by inertia and eventually they separate from the carpet.

Newton''s first law of motion is related to physical independence of force.

The ball has forward velocity equal to the velocity of the car even when ball is given velocity upwards.

Brahmagupta  the  anticipated Newton by declaring that all things gravitate to the earth.

All three statements are standard definitions and properties related to inertia and Newton's first law of motion.