A person is standing on a smooth, frictionless horizontal surface. How can they move a certain distance across it?
(a) By sneezing
(b) By jumping
(c) By running
(d) By rolling
Explanation: A situation involving motion on a perfectly smooth surface requires understanding how movement is generated when there is no external resistance from friction. In such conditions, any movement must come from internal or self-generated interactions within the system rather than relying on external contact forces. When a person tries to move on a surface that offers no friction, they cannot push against the ground in the usual way because there is no opposing force to provide traction. Therefore, movement depends on principles related to interaction forces and conservation of momentum, where internal actions can produce equal and opposite reactions within the system. In Physics, such scenarios often highlight how forces must be exchanged between different parts of a system or with expelled Mass or motion of body parts to generate displacement. The key idea is that motion in a frictionless Environment cannot be achieved through ordinary walking or running mechanics, and instead requires a mechanism that changes momentum distribution within the system itself, ensuring overall conservation laws remain valid.
Option d – By rolling
Assertion (A): Newton’s Third Law of motion applies only when objects are in motion. Reason (R): Newton’s Third Law holds true for all types of forces such as gravitational, electric, and magnetic forces.
(a) Both A and R are correct, and R correctly explains A
(b) Both A and R are correct, but R does not explain A correctly
(c) A is correct, but R is incorrect
(d) A is incorrect, but R is correct
Explanation: This statement focuses on the interpretation of interaction forces between bodies. In classical mechanics, interaction forces always occur in pairs and are fundamental to how objects influence each other, regardless of whether they are at rest or in motion. These interactions exist across different force fields such as gravitational attraction, electrical interaction between charges, and magnetic effects, all of which demonstrate mutual influence between two entities. A common conceptual misunderstanding arises when motion is incorrectly assumed to be a requirement for such interaction principles to operate. In reality, the validity of force interactions is independent of whether objects are moving or stationary, as long as an interaction exists. The reasoning statement emphasizes the universality of force interactions across different physical domains, highlighting that these relationships are not restricted to a single condition of motion but are a general feature of physical forces.
Option d – A is incorrect, but R is correct
The conservation of momentum during a collision between particles can be explained using
Explanation: In collision events, two or more bodies interact over a very short time interval and exchange forces internally. During this interaction, external forces are often negligible compared to internal interaction forces, making the system effectively isolated. In such a system, the total momentum before and after the collision remains unchanged because momentum is redistributed among the colliding bodies rather than lost. This principle is deeply connected to the fundamental laws of motion, especially those describing how forces produce changes in motion and how interacting bodies exert equal and opposite influences on each other. When analyzing collisions, one often considers how the NET external influence is effectively zero, allowing internal forces to govern the exchange. This leads to a situation where the combined motion characteristics of the system remain conserved even though individual velocities may change significantly. The idea is central in studying elastic and inelastic interactions in mechanics.
Option c – Both Newton’s Second and Third laws of motion
A bullet of Mass 10 g is fired at 20 m/s from a gun of Mass 2 kg. What is the recoil velocity of the gun (in m/s)?
(a) 1
(b) 0.2
(c) 0.1
(d) 2
Explanation: This situation involves a system where a small object is propelled forward while a much larger object responds in the opposite direction due to internal interaction forces. Initially, the system is at rest, so the total momentum is zero. When the bullet is fired, it gains forward momentum, and the gun must gain an equal and opposite momentum to maintain overall balance within the system. Since momentum depends on both Mass and velocity, the lighter object achieves a much higher velocity compared to the heavier one, while the heavier object moves with a much smaller speed in the opposite direction. This is a direct consequence of how internal forces act in pairs and how total system momentum remains conserved when no external force is acting. The relationship between masses and resulting velocities determines the magnitude of motion each part experiences after separation.
Explanation: Jet propulsion is based on the continuous expulsion of Mass at high speed in one direction, resulting in a reactive force that pushes the engine forward. This process involves the conversion of stored energy into kinetic energy of expelled gases. As these gases are released backward, an equal and opposite effect is produced on the engine structure, causing forward motion. The principle relies on maintaining continuous momentum exchange between the expelled Mass and the moving body. The efficiency of this system depends on how effectively the momentum of exhaust gases is utilized to produce thrust. This mechanism is widely used in aerospace applications where motion is achieved without direct contact with external surfaces, relying instead on internal energy transformation and momentum transfer.
Option c – Conservation of linear momentum
Statement I: When a gun is fired, it recoils with much lower velocity than the bullet. Statement II: The recoil velocity is smaller because the gun’s Mass is much greater than that of the bullet. According to the law of conservation of momentum, the total momentum of the system remains constant.
(a) Both statements are correct, and Statement II correctly explains Statement I
(b) Both statements are correct, but Statement II does not explain Statement I
(c) Statement I is correct, but Statement II is incorrect
(d) Statement I is incorrect, but Statement II is correct
Explanation: This scenario deals with interaction between two bodies that separate after an internal force interaction. Initially, the system has zero NET momentum, and after firing, both components move in opposite directions. The distribution of momentum depends on Mass and velocity, where a heavier object experiences a smaller change in speed compared to a lighter object for the same momentum exchange. This relationship arises because momentum is conserved within the system when external influences are negligible. The explanation highlights how differences in Mass influence resulting motion, and how internal forces ensure that total system behavior remains balanced. The concept is commonly used to analyze recoil effects and motion separation in mechanical systems.
Option a – Both statements are correct, and Statement II correctly explains Statement I
The impulse of a force acting on a particle over a certain time interval equals the change in its
Explanation: When a force acts on an object over a period of time, it produces a cumulative effect that alters the object’s motion state. This effect is not just dependent on the magnitude of the force but also on the duration over which it acts. The overall impact is measured by integrating force over time, which represents how the object’s motion quantity changes due to interaction. This relationship is fundamental in understanding how sudden or prolonged forces influence motion in real-world situations such as impacts or continuous pushes. It connects force application with motion response, showing how sustained interaction leads to measurable changes in movement characteristics.
Option b – Momentum
Action and reaction forces
(a) Always act on the same body
(b) Are equal in magnitude
(c) Act in the same direction
(d) Act independently
Explanation: In every interaction between two bodies, forces arise in pairs that are equal in magnitude but opposite in direction. These forces always occur simultaneously and act on different bodies rather than the same object. This ensures that any interaction is mutual, meaning both bodies influence each other equally. Such force pairs are fundamental to understanding how objects push or pull each other in all physical interactions, from simple contact situations to long-range field interactions. The concept is essential in explaining motion behavior in systems where multiple bodies interact, ensuring consistency in how forces are distributed across interacting objects.
Option b – Are equal in magnitude
If action and reaction forces acted on the same body
Explanation: In physical interactions, forces always come in pairs associated with two different objects. If both forces were assumed to act on the same object, the internal balance of forces within that object would be affected in a way that contradicts observed physical behavior. In reality, such forces cannot produce self-cancelling effects within a single body because their nature is defined by interaction between distinct entities. The correct understanding of these force pairs helps explain why objects do not experience self-neutralizing forces from their own interactions, and instead experience motion changes due to external influences or NET unbalanced forces acting on them.
Explanation: Rocket motion is produced by expelling mass at high speed in one direction, which results in a reactive effect on the rocket body. This continuous expulsion generates thrust that propels the rocket forward. The mechanism relies on the idea that when mass is ejected backward, the system experiences a forward reaction due to internal force interactions. This process does not require external medium for propulsion, making it suitable for motion in space. The effectiveness of the system depends on the rate and speed at which mass is expelled, as well as the energy conversion involved in producing high-velocity exhaust gases.
Explanation: When a projectile is launched from a cannon, it moves forward due to a strong internal force interaction between the projectile and the cannon structure. At the same time, the cannon experiences an opposite effect due to the same interaction, resulting in backward motion. This occurs because the system initially has no NET momentum, and after firing, momentum must be distributed between the two parts in opposite directions. The heavier object moves with a smaller speed compared to the lighter projectile, ensuring balance in total system momentum. This recoil behavior is a direct consequence of internal force interactions during the firing process.
Option c – Newton’s Third Law of Motion
The motion of a horse pulling a carriage is an example of
(a) Newton’s Third Law
(b) Ohm’s Law
(c) Archimedes’ Principle
(d) Avogadro’s Law
Explanation: When a horse pulls a carriage, both the horse and the carriage interact through a connecting force such as tension in the harness. During this interaction, the horse exerts a forward pull on the carriage, while the carriage exerts an equal and opposite force back on the horse. This mutual interaction is continuous and occurs simultaneously between the two bodies. The resulting motion of the system depends on how these forces interact with the ground and how friction allows the horse to push backward against the surface, enabling forward motion of the combined system. The key idea is that motion is produced through interaction forces between connected bodies and the ground, where internal forces alone cannot move the system without external support from friction.
Option a – Newton’s Third Law
Which of the following does not involve kinetic friction?
(a) Writing
(b) Speaking
(c) Hearing
(d) Walking
Explanation: Friction arises when there is relative motion or a tendency of motion between two surfaces in contact. Kinetic friction specifically acts when surfaces are sliding against each other. In contrast, some everyday interactions involve contact forces where surfaces are not sliding but may still be in contact or interacting through other mechanisms. In such cases, frictional behavior may not be of the kinetic type. Understanding this distinction requires analyzing whether there is actual sliding motion between surfaces or whether the contact involves other forms of interaction. The nature of friction depends on the state of motion between surfaces and how resistance to motion is generated during interaction.
Option c – Hearing
When an object slides over a surface, the friction involved is called
(a) Static friction
(b) Dynamic friction
(c) Limiting friction
(d) Rolling friction
Explanation: When two surfaces move relative to each other while maintaining contact, a resisting force develops due to microscopic irregularities between the surfaces. This resistance opposes the direction of motion and converts some mechanical energy into Heat. The magnitude of this force depends on the nature of the surfaces and the normal force pressing them together. Unlike situations where surfaces are at rest relative to each other, sliding motion continuously disrupts surface contact points, leading to sustained resistance. This type of interaction plays a major role in slowing down moving objects and affecting their motion over time.
Option b – Dynamic friction
The maximum possible value of static friction is known as
(a) Limiting friction
(b) Rolling friction
(c) Normal reaction
(d) Coefficient of friction
Explanation: Static friction acts when two surfaces are in contact but not sliding relative to each other. It adjusts its magnitude depending on the applied force, up to a certain limit. Beyond this limit, the surfaces begin to slide. This limiting value represents the maximum resistance that static friction can provide before motion begins. It depends on the nature of the surfaces and the normal force pressing them together. Once this threshold is exceeded, motion transitions from no-slip condition to sliding motion, changing the type of friction involved.
Option a – Limiting friction
A body experiences two unequal forces in opposite directions, but these forces are not collinear. The body will exhibit
(a) Only rotational motion
(b) Only translational motion
(c) Neither rotational nor translational motion
(d) Both rotational and translational motion
Explanation: When two forces act on a body in opposite directions but along different lines of action, their effects cannot cancel purely in a straight-line sense. Instead, the body experiences a combination of translational influence due to the NET unbalanced force and rotational influence due to the separation between the lines of action of the forces. This separation creates a turning effect known as torque, which causes rotation. At the same time, the difference in magnitudes of the forces produces a NET push in one direction, resulting in motion. The overall motion is therefore a combination of both types of movement depending on how forces are distributed spatially.
Option d – Both rotational and translational motion
When NET torque is zero, which quantity remains constant?
(a) Force
(b) Angular momentum
(c) Linear momentum
(d) Acceleration
Explanation: Torque represents the rotational influence of a force acting on a body about an axis. When the total or NET torque acting on a system is zero, there is no unbalanced rotational effect to change its rotational state. As a result, the system maintains its existing rotational motion characteristics. This concept is analogous to linear motion, where absence of net force leads to constant linear motion. In rotational systems, absence of net torque ensures stability in rotational behavior, meaning the rotational motion does not change over time unless an external turning influence is applied.
Option b – Angular momentum
To open a door with minimal effort, the handle should be placed
(a) Near the hinges
(b) Far from the midpoint, opposite to the hinges
(c) At the midpoint
(d) None of these
Explanation: Opening a door involves applying a turning effect around its hinges. This turning effect depends on both the applied force and the perpendicular distance from the axis of rotation. Increasing this distance increases the rotational influence for the same applied force, making it easier to rotate the door. Therefore, placing the handle farther from the hinge maximizes the turning effect and reduces the effort needed. The principle demonstrates how torque depends on both force and lever arm distance, making design choices in everyday objects more efficient for human use.
Option b – Far from the midpoint, opposite to the hinges
The moment of inertia of a body is independent of
(a) Axis of rotation
(b) Angular velocity
(c) Shape of the mass
(d) Distribution of mass
Explanation: The resistance of a body to rotational motion depends on how its mass is distributed relative to the axis of rotation. This property is influenced by factors such as shape, mass distribution, and the chosen axis. However, it does not depend on how fast the body is rotating at a given moment. Instead, it is purely a structural property of the object’s mass arrangement. This distinction helps separate geometric properties from motion-based quantities in Rotational Dynamics, ensuring that resistance to angular acceleration is determined by configuration rather than speed of rotation.
Option b – Angular velocity
A Solid disc and a Solid sphere have the same mass and radius. Which has the greater moment of inertia about its center?
(a) The disc
(b) The sphere
(c) Both are equal
(d) Cannot be determined with given data
Explanation: Moment of inertia depends on how mass is distributed relative to the axis of rotation. When two objects have identical mass and radius but different shapes, their internal mass distribution differs significantly. One object spreads more of its mass farther from the axis compared to the other, increasing its resistance to rotational acceleration. The object with more mass concentrated away from the center will require more effort to change its rotational motion. This comparison highlights how geometry plays a crucial role in Rotational Dynamics, even when basic physical parameters like mass and size are the same.
Option a – The disc
The apparent weight of a person in a lift is less than their actual weight when
(a) The lift is accelerating upward
(b) The lift is moving downward at uniform speed
(c) The lift is moving upward at uniform speed
(d) The lift is accelerating downward
Explanation: Apparent weight is the force experienced by a person due to the support provided by the floor of a lift, which depends on the normal reaction acting on the body. This normal reaction changes whenever the lift is accelerating because the support force must adjust to both gravitational pull and the lift’s motion. When the lift accelerates in a direction that reduces the effective support from the floor, the normal force becomes smaller than the gravitational force acting on the person. This change in support leads to a sensation of reduced weight. The situation is analyzed using principles of dynamics where acceleration of the reference frame modifies the effective forces experienced inside it, leading to variations in perceived weight depending on the direction of motion of the lift.
Option b – The lift is moving downward at uniform speed
A 70 kg man is descending in a lift. If the lift cable breaks suddenly, his weight would be
(a) 70 kg
(b) 35 kg
(c) 140 kg
(d) Zero
Explanation: Weight is the force due to gravity acting on a mass and is independent of the motion of the object in free fall conditions. When the supporting cable breaks, both the lift and the person inside it begin to fall under the influence of gravity alone. In this state, there is no normal reaction force acting on the person from the floor because both are accelerating downward at the same rate. As a result, the sensation of weight changes even though gravitational influence still exists. This situation represents a condition where the supporting force disappears, leading to a state often described in terms of free fall dynamics where only gravitational acceleration governs motion.
Option d – Zero
To avoid slipping while walking on ice, one should take shorter steps because
(a) Ice has high friction
(b) The normal force is large
(c) Ice has very low friction
(d) The normal force is small
Explanation: Walking involves applying frictional force between the foot and the ground to push the body forward. On a surface with very low friction, the available grip is minimal, making it difficult to generate sufficient horizontal force for stable movement. By reducing step length, the time and distance over which force is applied become smaller, lowering the demand on frictional resistance. This helps maintain balance and reduces the likelihood of losing grip. The principle highlights how adapting movement strategy can compensate for reduced frictional interaction between surfaces, improving stability under slippery conditions.
Option c – Ice has very low friction
“For every action, there is an equal and opposite reaction” — this law was proposed by
(a) Newton
(b) Albert Einstein
(c) Bohr
(d) Haldane
Explanation: This principle describes the fundamental nature of interaction forces between two bodies. Whenever one body exerts a force on another, the second body simultaneously exerts a force of equal magnitude but opposite direction on the first. These forces always act on different objects and are central to understanding how interactions produce motion in physical systems. This concept forms a foundational part of classical mechanics and is used to explain a wide range of phenomena involving motion, equilibrium, and force interactions in everyday and advanced Physics contexts.
Option a – Newton
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