Physics Class 10: Motion and Projectile Quiz
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Questions and Answers

What happens to an astronaut's perceived weight when they are at rest inside a space station 100 km above the Earth's surface?

  • Less than half her weight on Earth
  • A little less than her weight on Earth
  • Zero (she is weightless) (correct)
  • Equal to her weight on Earth

If the external torque acting on a body is zero, what conclusion can be drawn about its angular momentum?

  • Angular momentum is zero
  • Rotational motion is maximum
  • Angular momentum is conserved (correct)
  • Angular acceleration is maximum

When an individual extends their arms while rotating, what is the effect on their angular velocity?

  • Increases
  • Remains the same
  • Decreases (correct)
  • Becomes constant

What is the relationship between the moment of inertia and angular velocity if the moment of inertia is halved?

<p>Angular velocity doubles (C)</p> Signup and view all the answers

In the context of torque, which factor primarily affects the torque when the force is applied at an angle?

<p>Angle of application (B)</p> Signup and view all the answers

Which of the following factors does not affect the moment of inertia of a body?

<p>Speed of rotation (B)</p> Signup and view all the answers

What type of motion does torque primarily relate to in comparison to force in linear motion?

<p>Torque leads to angular acceleration (B)</p> Signup and view all the answers

Which of the following represents a situation where a smaller force can exert a greater torque than a larger force?

<p>Applying a small force at a long distance (D)</p> Signup and view all the answers

One radian is approximately equal to how many degrees?

<p>57° (C)</p> Signup and view all the answers

If a wheel turns with constant angular speed, which statement is true?

<p>The wheel turns through equal angles in equal times. (D)</p> Signup and view all the answers

What does the rotational inertia of a wheel not depend on?

<p>Speed of rotation (B)</p> Signup and view all the answers

How can torque be maximized when applying a force to a wheel?

<p>Applying the force at the rim, tangent to the rim. (A)</p> Signup and view all the answers

In the context of rotational movement, what does I represent?

<p>It is the definition of rotational inertia. (C)</p> Signup and view all the answers

Where is the angular momentum vector of Earth directed due to its daily rotation?

<p>Tangent to the equator towards east. (C)</p> Signup and view all the answers

What is the net torque on a stone of 2 kg tied to a 0.50 m long string and swung around a circle at an angular velocity of 12 rad/s?

<p>0 N.m (C)</p> Signup and view all the answers

When a man spins on a light frictionless turntable with his arms at his sides, what happens if he pulls his arms in?

<p>He will increase his rotational speed. (D)</p> Signup and view all the answers

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Flashcards

Rotational Inertia

The tendency of an object to resist changes in its rotational motion. It depends on the object's mass distribution and the axis of rotation.

Angular Velocity

The rate at which an object changes its angular position. It is measured in radians per second (rad/s).

Angular Acceleration

A vector quantity describing the rate of change of angular velocity. It is measured in radians per second squared (rad/s²).

Moment of Inertia

A measure of an object's tendency to rotate about a particular axis. It is calculated as the product of the object's mass and the square of its distance from the axis of rotation.

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Angular Momentum

The product of an object's moment of inertia and its angular velocity. It is a conserved quantity, meaning it remains constant in the absence of external torques.

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Torque

A force that causes an object to rotate. It is calculated as the product of the force and the perpendicular distance from the axis of rotation to the line of action of the force.

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Banking Angle

The angle between the horizontal and the line connecting the object to the center of the circle it is rotating around. It is also known as the angle of banking.

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Centripetal Acceleration

The center-seeking acceleration that keeps an object moving in a circular path. It is always directed towards the center of the circle.

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One Radian

One radian is almost equal to 57 degrees.

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Constant Angular Speed

The wheel rotates through equal angles in equal times, which means its angular speed is constant, even though the linear velocity of points on the rim may not be.

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Maximizing Torque

To maximize torque, apply the force perpendicular to the radius at the furthest point from the axle.

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Torque and Rotational Inertia

The rotational inertia (I) multiplied by the angular acceleration (α) is equal to the net torque acting on the object.

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Angular Momentum Vector

The angular momentum vector points in the direction determined by the right-hand rule. For Earth's daily rotation, this direction is towards the North Pole.

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Net Torque on a Swung Stone

The net torque on the stone is zero because the tension force in the string acts radially towards the center of the circle, resulting in no perpendicular force component.

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Spinning with Arms Extended

When a spinning person extends their arms, their rotational inertia increases, which slows down their angular speed. This is due to the conservation of angular momentum.

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Study Notes

Section (A): Multiple Choice Questions (MCQs)

  • To get a resultant displacement of 10m, two displacement vectors of magnitude 6m and 8m should be combined perpendicularly.
  • The velocity of a particle at an instant of 10m/s, after 5 seconds is 20m/s. The velocity 3 seconds prior to this instant is 8m/s.
  • A ball thrown upwards with a velocity of 100 m/s will reach the ground after 20 seconds.
  • Two projectiles fired at 60° and 30° angles of projection with the same speed will have the same time of flight and landing velocity, but different ranges and maximum height.
  • The ratio of numerical values of average velocity and average speed of a body is always unity or less.
  • If the average velocities of a body become equal to the instantaneous velocity, the body is moving with uniform velocity.
  • At the top of a projectile's trajectory, the acceleration is equal to g (acceleration due to gravity).
  • The angle at which the range of a projectile becomes equal to its height is 45°.
  • The angle at which the dot product of two non-zero vectors becomes equal to their cross product is 90°.
  • If the dot product of two non-zero vectors vanishes, the vectors are perpendicular to each other.

Section (A): Multiple Choice Questions (MCQs)

  • The rate of change of linear momentum of a body is called linear force.
  • Mass refers to the same physical concept as inertia.
  • Frictional force is also known as a self-adjusting force.
  • The laws of motion relate mass and acceleration.
  • Rocket motion in space follows the law of conservation of linear momentum.
  • A bomb of mass 12 kg at rest explodes into two pieces of masses 4 kg and 8 kg. If the 8 kg mass has a speed of 6 m/s, the kinetic energy of the 4 kg mass is 288J).
  • If momentum increases by 20%, the kinetic energy increases by 44%.
  • The kinetic energy of a body with mass 2 kg and momentum of 2 Ns is 2J.
  • For the same kinetic energy, the momentum is maximum for an electron.
  • A 3 kg bowling ball experiencing a net force of 15N has an acceleration of 5m/s².

Section (A): Multiple Choice Questions (MCQs)

  • One radian is approximately 57°.
  • A wheel turning with constant angular speed has points on its rim moving with constant velocity.
  • The rotational inertia of a wheel about its axle does not depend on its speed of rotation.
  • The torque is maximized when the force is applied tangent to the rim of a wheel.
  • The quantity Iα is the definition of torque, where I is rotational inertia and α is angular acceleration.
  • Angular momentum vector of Earth, due to its daily rotation, is directed tangent to the equator towards the east.
  • A net torque on a stone swung in a circle is zero.
  • Extending arms while spinning on a turntable decreases rotational inertia and increases angular velocity.
  • The net force on an astronaut inside a space station that revolves around the Earth is approximately zero (weightlessness).

Section (A): Multiple Choice Questions (MCQs)

  • Work done by centripetal force is always zero.
  • A body of mass 5 kg moving with a momentum of 10 kg m/s experiencing a force of 0.2 N for 10 seconds, has its kinetic energy increase by 1.0 J.
  • The object with the same kinetic energy and lower mass has greater momentum.
  • Two bodies of different mass but equal momentum have a kinetic energy ratio of 2:1.
  • A falling body from height h, when at a height of h/2 will possess half potential and half kinetic energy.
  • Multiplying force and velocity results in power.
  • The minimum velocity needed for an object to escape Earth's gravitational field is approximately 11.2 km/s.
  • A joule of work done per second is one watt.
  • The absolute potential energy of an object depends on its mass and height.
  • The escape velocity of a planet depends on both its mass and radius.

Section (A): Multiple Choice Questions (MCQs)

  • If external torque is zero, angular momentum is conserved.
  • Pressure exerted on the ground by a person is greatest when they stand on one foot.
  • In a stationary liquid, pressure is the same at all points at the same level.
  • Increasing pressure at a smaller piston in a hydraulic lift by a value (ΔP) results in a pressure increase of 2ΔP at the larger piston.
  • A vacuum will have no buoyant force on an object.
  • The buoyant force on a rock submerged in water is 8N less than its weight.
  • An object submerged in a fluid displaces its own volume of fluid (Archimedes' principle).
  • Saltwater has higher buoyant force on a boat than freshwater because of its density.
  • When ice melts in a glass of water, the water level remains the same.

Section (A): Multiple Choice Questions (MCQs)

  • For incompressible fluid, flow rate is constant throughout the pipe.
  • The sum of pressure and energy of motion per unit volume in a horizontal fluid flow is constant (Bernoulli’s principle).
  • The law of conservation of energy in fluids is associated with Bernoulli's principle.
  • Fluid pressure decreases as fluid speed increases.
  • Decreased cross-sectional pipe area leads to increased fluid velocity.
  • The force of air resistance on a skydiver at terminal velocity is equal to their weight.
  • When wind speeds up over a hill, atmospheric pressure decreases there.
  • Fluids undergoing incompressible flow have constant velocity at specific points.
  • Fluids undergoing steady flow have constant velocity at specific points with time.
  • The equation of continuity arises from conservation of mass.

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Description

Test your understanding of motion and projectile concepts in this quiz based on Class 10 Physics. Questions cover displacement, velocity, and projectile motion, guiding you through essential principles. Challenge yourself and solidify your knowledge of these core physics topics.

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