MEDIUM
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Assertion: A block is hanged from spring. Spring force on block and gravitational force on block are not action and reaction pair.

Reason: Action and reaction force acts in opposite direction.

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Important Questions on Laws of Motion

MEDIUM
A balloon with mass m is descending down with an acceleration a (where a<g). How much mass should be removed from it so that it starts moving up with an acceleration a?
EASY

A mass m is attached to two springs as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

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MEDIUM
Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively
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HARD

A maximum of 3 N force can be applied on a block, down the incline, that would still not move the block which is placed on a rough inclined plane as shown in the figure. The maximum external force up the inclined plane that does not move the block is 12 N. The coefficient of static friction between the block and the plane is Take g=10 m s-2

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HARD
System shown in the figure is in equilibrium and at rest. The spring and string are massless, now the string is cut. The acceleration of mass 2m and m just after the string is cut will be
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MEDIUM
An automobile moving with a speed of 36 km h-1 reaches an upward inclined road of angle 30°, its engine becomes switch off. If the coefficient of friction is 0.1, then how much distance will automobile move before coming to rest?
EASY
Three blocks A, B and C, of masses 4 kg, 2 kg 1 kg and respectively, are in contact on a frictionless surface, as shown. If a force of 14 N  is applied on the 4 kg block, then the contact force between A and B is:

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EASY
A body of weight W1 is suspended from the ceiling of a room through a chain of weight W2. The ceiling pulls the chain by a force
MEDIUM

Two identical springs are connected to mass m as shown  (k=spring constant) . If the period of the configuration in (i) is 2 s, the period of the configuration (ii) is:

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MEDIUM
One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity ω about an axis passing trough fixed end, then the elongation of the spring will be
MEDIUM

A rectangular frame of some mass has to be suspended symmetrically by two mass-less strings of equal length on two supports. It can be done in one of the three following ways as shown in below figures. The tension in the strings will be

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EASY
A spring of force constant k is cut into lengths of ratio 1 : 2 : 3. They are connected in series and the new force constant is k. If now they are connected in parallel and force constant is k, then k' : k'' is
HARD
A rope of length L and uniform linear density is hanging from the ceiling. A transverse wave pulse, generated close to the free end of the rope, travels upwards through the rope. Select the correct option.
EASY

Two blocks A and B are placed one over the other on a smooth horizontal surface. The maximum horizontal force that can be applied on lower block A, so that A and B move without separation is 49 N. The coefficient of friction between A and B is

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EASY
Consider the following statements about the four fundamental forces in nature.
(i) The strong nuclear force binds protons and neutrons in a nucleus.
(ii) The strong nuclear force is about 103 times the electromagnetic force in strength.
(iii) The weak nuclear force is the weakest of all the four fundamental forces.
(iv) The range of the weak nuclear is about 10-16 m
The correct statement(s) is (are)
EASY
A book is lying on a table. What is the angle between the normal reaction acting on the book on the table and the weight of the book?
EASY

The length of a metal wire is 1, when the tension in it is T1 and is 2 when the tension is T2. The natural length of the wire is:

EASY

As shown in the figure, an iron block A of volume 0.25 m3 is attached to a spring S of unstretched length 1.0 m and hanging to the ceiling of a roof. The spring gets stretched by 0.2 m. This block is removed and another block B of iron of volume 0.75 m3 is now attached to the same spring and kept on a frictionless incline plane of 30° inclination. The distance of the block from the top along the incline at equilibrium is

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MEDIUM

A block of mass 20 kg is suspended through two spring balances with negligible mass as shown in figure. What will be the readings in the upper and lower balance respectively ?

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MEDIUM
1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to a 8 kg block placed on the same table. So, the frequency of vibration of the 8 kg block is