laws of motion important questions for jee

Welcome, To STUDYEVERTHING
And join us to the JOURNEY TO JEE MAIN.
Today, we are going to cover the MOST IMPORTANT QUESTION from PHYSICS chapter LAWS OF MOTION for exams like CBSE board, NEET, JEE MAIN & JEE ADVANCE.
First try to solve the question on your own in the allotted time (45 minutes). Then check the answers.
If you want to know the answers in detail you can simply download the pdf file which is at the end of the session.
So, what are you waiting for,
Let's crack it.

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STUDY EVERTHING

Section	no of questions	Alloted Time	Type	Question level
Type 1	10	same	Mcq	Moderate
Type 2	5	same	Integer	Moderate
Type 3	5	same	Mcq	Tough

Allotted time is same for all.

Quick recap

Distance

The length of total path covered by a body in any time.

Displacement

The minimum distance between the initial and final position of a body.

Speed

The distance covered by a moving body in unit time.

Average speed.

A= Total distance/ Total time.

Instantaneous speed.

The speed of the body at a given instant.

= ds/dt

Velocity

The change in position or displacement divided by the time interval

Relative velocity

If the object A and B moves with velocity v_a and v_b relative to one coordinate system along a straight line in same direction line in same direction.

v_ba = v_b - v_a

Acceleration

Rate of change of velocity

Equation for one dimension

(1). v= u + at

(2). s= ut + 1/2at²

(3). v² =u² +2as

Motion of body in two dimension

Projectile motion

When a body is thrown at a certain angle with horizontal, then the body moves in a curved path in vertical motion.

Trajectory

The path of the projectile motion

Time of flight T = 2usinθ/g

Horizontal range R = u² sin2θ/g

Maximum height H = u² sin²θ/2g

Centripetal acceleration

When a body executes uniform circular motion , thenits speed remains same but direction goes on changing, i.e., its velocity changes.

a = v²/r or a =ωr

Centrifugal force

The virtual force that balances the centripetal force in uniform circular motion.

Non-uniform circular motion

T - mgcosθ = mv² /r

Total energy of stone while moving in circular motion is 5/2 rg.

Force

Pull or push or change in position.

Inertia

The virtue of a body due to which it tries to retain its state.

Newton's First law

Every body retains its state of test or state of motion, until an external force is applied on it.

Newton's Second law

The rate of change of linear momentum of the body is proportional to force applied and change takes place in direction of motion.

F = ma

Linear momentum

Product if mass and velocity

p = mv

Pseudo Force

To validate Newton's laws in non inertial frame of reference we have to apply a force mass times the acceleration and in opposite direction of the acceleration of the frame.

Newton's Third law

Ever action have equal and opposite reaction.

Impluse

Force applied for short time to produce a finite change in momentum.

Work

Work is said to be done by a force when the body is displaced in direction of applied force.

W = F.s

Kinetic energy

Energy of body by virtue of its motion

K = 1/2mv²

Work energy theorem

W = 1/2mv₂² - 1/2mv₁²

Potential energy

The energy of a body by virtue of its position.

U = mgh

Law of conservation of energy

Energy neither be created nor be destroyed, but one form of energy can be converted into another form.

Power

Rate of doing work

P = Work/ time

Friction

When a body slides or rolls over another body or on a surface then a force opposing the motion acts between those surfaces of the body which are in contact.

Angle of friction tanθ = f =μN

Here, f is the limiting frictional force.

TIMER:

45min

TYPE 1

1. An insect crawls a hemispherical surface very slowly (see fig.). The coefficient of friction between insect and surface is 1/3. If line joining the hemispherical surface to the insect makes an angle α with vertical, the maximum possible value of α is given by

2. The pulley and strings shown in figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be

3. A light spring passing over smooth light pulley connects two block on mass m₁ and m₂ (vertically) if acceleration of system is g/8, then ratio of masses is

4. A marble block of mass 2kg lying on mass when a given velocity of 6m/s is stopped by friction in 10 seconds. Then the coefficient of friction is

5. A block rest on rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between block and the plane is 0.8. If the frictional force on the block is 10N, then the mass of the block (in kg) is (take g=10m/s²)

6. Consider a car moving on a straight road with a speed of 100m/s. Distance at which car can be stopped is (μ_k=0.5)

7. When a moving bus suddenly applies brakes, the passenger sitting in it fall in the forward direction. This can be explained by

8. Which one of the following characteristics of the particle does the shaded area of the velocity-time graph shown above represent?

9.A unloaded car moving with velocity u on a frictionless road can be stopped in a distance s. If a passenger add 40% to its weight and breaking force remains the same, the stopping distance at velocity u is now

10. A bullet of mass 10g is fired from a gun of mass 1kg which recoils with a velocity of gun 5m/s. Then muzzle velocity will be

TYPE 2 NUMERICAL TYPE

1. A ship of mass 3×10⁷kg is initially at rest, is pulled by force of 5×10⁴N through a distance of 3m. Assuming that resistance due to water is negligible, then the speed of the ship is(in m/s)

2. A block of mass 2kg rest on rough inclined plane making an angle of 30° with horizontal. The coefficient of static friction between block and the plane is 0.7. Frictional force on the block is ( in N)

3. A block of mass 0.8kg is held against the wall applying a force of 5N. If the coefficient of friction between block and the wall is 0.5, magnitude of frictional force acting on the block is

4. A particle of mass 0.3kg subject to force F=-kx with k=15N/m. What will be its initial acceleration if it is released from point 20cm from the origin? (in m/s²)

5. A bullet weighting 5g moving with a velocity of 600m/s strikes a 5kg block of ice resting on a frictionless surface. The speed of block after collision (in m/s).

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JEE ADVANCE

1. The image of an object, formed by Plano-convex lens at a distance of 8m behind the lens, is real and one-third the size of object. The wavelength of the light inside the lens is 2/3 times the wavelength in free space. The radius of curved surface of the lens

2. A reference frame attached to earth

3. A small block of mass 0.1kg lies on fixed inclined plane PQ which makes an angle θ with horizontal. A horizontal force of 1N acts on block through its centre of mass as shown in figure. Block remains stationary if (take g=10m/s²)

4. A wire which passes through a hole in small bead, bent in form of quater circle the wire is fixed in vertical plane on ground as shown in figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire

a.always radially outward
b.always radially inwards
c.radially outward initially and radially inward later
d.radially inward initially and radially outward later

5. A circular disc with a groove along its diameter is placed horizontally on the rough surface. A block of mass 1kg is placed as shown in figure. The coefficient of friction between the block and all surfaces of the grove and the horizontal surface in contact is μ=2/5. The disc has acceleration of 25m/s² towards left find the acceleration of the block with respect tothe disc.Given Cosθ=4/5 and sinθ=3/5.

Download the detailed answer pdf of the most important questions
LAWS OF MOTION.

Unit and measurements most important questions	click here
Kinamatic most important questions	click here
Jee mains questions on mechanical properties of solids	click here
Work, energy and power most important questions	click here
Nit cutoff	click here
Iiit cutoff	click here

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motivational quotes

A never-ending life

Today we are living in a world of dreams and imagination.

Everyday hoping that tomorrow will be better than the past.

Yeah, it might be true for those who took steps to change themselves in the present.
At the moment where they are.

We are working for our whole life just to wait for one moment.

One moment that blows up is the hurdles and ruined our weakness to achieve what you are dreaming for mostly called "success".

Success may or may not be permanent but once you achieve that success in your life you may at the top of the mountain of your excitement which is also a most memorable part of our life

But to achieve "success" doesn't means that other people, who care you, love you, get hurt because of your decision that you took to get right back what belongs to you.

Family shouldn't be discomfort due to your decision. Be responsible for your work. Yeah, you can trust your family. They are the only ones who love you. The love which you are looking for -real love.

"Perfection" never be achieved but still we try it every day. "Like ideal gases can't exist".
That is where hope and belief start and continue till the end of the journey.

Be brave to face the hurdles and always keep in mind that you aren't alone in this war. War that you fight for. A never-ending war that will over only when the rage, fire stops burning.

You don't need to prove others you need to prove yourself.

Be confident and keep putting efforts on your goals.

The pain you feel today strength you feel tomorrow.

People die, time changes, life goes on and on.

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laws of motion important questions for jee