Laws of Motion, Work, Energy and Power

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Questions and Answers

A curved road has a diameter of 1.8 km. What is the angle of banking required for a vehicle to navigate the turn at a speed of 30 m/s without relying on friction? (Assume $g = 10 m/s^2$)

  • $tan^{-1}(0.1)$ (correct)
  • $tan^{-1}(0.5)$
  • $tan^{-1}(0.4)$
  • $tan^{-1}(1)$

Two blocks, A and B, are at rest on a smooth horizontal surface. The coefficient of friction between A and B is 0.4. If block A has a mass of 6 kg and block B has a mass of 3 kg, what is the maximum horizontal force that can be applied to block A such that both blocks move together?

  • 72 N
  • 24 N
  • 12 N
  • 36 N (correct)

The momentum $P$ (in kg m/s) of a particle varies with time $t$ (in seconds) according to the equation $P = 3t + 4$. What is the magnitude of the force acting on the particle at $t = 1$ s?

  • 3 N (correct)
  • 4 N
  • 10 N
  • 7 N

A body moves along a straight line under the influence of a machine that delivers constant power. How does the distance moved by the body relate to time $t$?

<p>$t^{3/2}$ (A)</p> Signup and view all the answers

A system consists of two masses, 5 kg and 10 kg, connected by two light strings, (1) and (2), as shown. What is the tension in string (2)? (Assume $g = 10 m/s^2$)

<p>100 N (D)</p> Signup and view all the answers

A force $\vec{F} = 2\hat{i} + 2\hat{j}$ is applied around the path OABCO as shown in the figure. What is the work done?

<p>$2a^3$ (B)</p> Signup and view all the answers

What condition is necessary for the linear momentum of a system to be conserved?

<p>It is conserved when the net external force on the system is zero. (D)</p> Signup and view all the answers

A block of mass 10 kg is at rest on a smooth inclined plane with an angle of inclination of 60°, supported by a light string. Determine the normal reaction force exerted on the block by the inclined plane. (Assume $g = 10 m/s^2$)

<p>50 N (A)</p> Signup and view all the answers

A block of mass 10 kg is in equilibrium, suspended by two strings. One string is vertical; the other (AB) is horizontal. What is the magnitude of the tension in the horizontal string AB? (Assume $g = 10 m/s^2$)

<p>$\frac{100}{\sqrt{3}}$ N (C)</p> Signup and view all the answers

A 4 kg body, initially at rest, reaches a velocity of 5 m/s in 2 seconds. What is the average force acting on the body during this interval?

<p>10 N (C)</p> Signup and view all the answers

Which of the following statements is true regarding an inelastic collision?

<p>The law of conservation of momentum is valid. (D)</p> Signup and view all the answers

A block of mass $M$ is held against a rough vertical wall by applying a force with a finger. If the coefficient of friction between the block and the wall is $\mu$ and the acceleration due to gravity is $g$, what is the minimum force required by the finger to hold the block against the wall?

<p>$\frac{Mg}{\mu}$ (C)</p> Signup and view all the answers

A 1 kg block is placed on a rough horizontal surface with a coefficient of friction $\mu = 0.5$. A constant horizontal force of 8 N is applied to the block. What is the net work done on the block after it covers a distance of 10 m? (Assume $g = 10 m/s^2$)

<p>30 J (C)</p> Signup and view all the answers

A particle of mass $m$ is undergoing uniform circular motion with radius $r$. Given that $p$ is the magnitude of its linear momentum, what is the radial force acting on the particle?

<p>$\frac{p^2}{rm}$ (A)</p> Signup and view all the answers

For an object acted upon by external unbalanced forces, which of the following is true?

<p>It will move with some acceleration. (D)</p> Signup and view all the answers

A force acting on a body of mass 1 kg shows a spike, reaching 100 N for 10 ms. If the body's velocity just before the spike is 20 m/s, what is its velocity just after the spike?

<p>20.05 m/s (C)</p> Signup and view all the answers

What is the kinetic energy of a body with a mass of 2 kg and a momentum of 2 Ns?

<p>1 J (B)</p> Signup and view all the answers

Blocks A and B are at rest on incline planes. What is the ratio of the contact forces exerted by the incline planes on blocks A and B if the angles are 37 and 53 degrees respectively and the planes are frictionless?

<p>1:4 (A)</p> Signup and view all the answers

A ball of mass 0.2 kg moving at 20 m/s stops in 0.1 s. What is the magnitude of the force acting on the ball to stop it?

<p>40 N (C)</p> Signup and view all the answers

A ball is dropped from height h onto a horizontal floor and bounces to a height of $\frac{3}{4}h$. What is the percentage loss of energy in the impact?

<p>25% (D)</p> Signup and view all the answers

A rider on a horse falls backward when the horse starts running suddenly. Which concept explains this phenomenon?

<p>Inertia of rest (D)</p> Signup and view all the answers

A 1 kg block is forced up a rough inclined surface (30° angle) by a 12 N force parallel to the incline. The coefficient of friction is 0.2. What is the work done by gravity if the block is pushed 5 m along the incline (g = 10 m/s²)?

<p>-25 J (A)</p> Signup and view all the answers

A ball B of mass m moves on a smooth horizontal plane and collides with an identical ball C, as shown. If the collision is perfectly elastic, what is the speed of ball C immediately after the collision?

<p>$\frac{v_0}{2}$ (D)</p> Signup and view all the answers

In which scenario is the work done by a force equal to zero?

<p>Displacement of the point of application of force is zero. (A)</p> Signup and view all the answers

A force $F$ is needed to keep the block at equilibrium. What is the force F if the pulley and the string are massless?

<p>$\frac{Mg}{2}$ (D)</p> Signup and view all the answers

A force of $(3\hat i + 4\hat j + 5\hat k)$ N acts on a body for 2 seconds, producing a displacement of $(2\hat i + 3\hat j + 2\hat k)$ m. What is the power developed?

<p>14 W (B)</p> Signup and view all the answers

Flashcards

Physics Topics

Laws of Motion, Work, Energy and Power

Chemistry Topics

Classification, bonding, molecular structure

Botany Topics

Classification & Morphology of Flowering Plants

Zoology Topics

Breathing & Exchange of Gases, Body Fluids & Circulation

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Banked Road

A road banked to help vehicles turn without friction.

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Max. Horizontal Force

Maximum force allowing two blocks to move together.

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Force

The rate of change of momentum.

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Distance with const. power

Distance a body moves under constant power.

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Tension in a string

Total weight supported by the string.

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Work done by force

Force causing change in velocity.

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Linear momentum

Measure of system's motion.

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Normal reaction

Force component opposing gravity on incline.

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Tension magnitude

Force required to keep object static

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Average force

Average force exerted during a change in body velocity

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Inelastic Collision

Momentum conserved, Kinetic Energy is not

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Minimum force

Force needed to hold against a wall

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Net work done

Work done considering friction

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Radial force Particle

Magnitude of the force.

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Instantaneous power

Rate at which work gets done.

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External unbalanced forces =??

Some acceleration

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Impulsive force

Calculus using Forces*time

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Percentage energy loss

Energy loss after impact

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Inertia back fall

Static position changes instantly

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Friction work

Opposing motion forces

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Study Notes

Physics: Laws of Motion, Work, Energy and Power

  • A curved road with a diameter of 1.8 km is banked for a vehicle to turn at 30 m/s without friction; the banking angle is tan⁻¹(0.1), given g = 10 m/s².
  • Two blocks, A (6 kg) and B (3 kg), are at rest on a smooth horizontal surface. The maximum horizontal force that can be applied to block A to move them together is 12 N, assuming a coefficient of friction of 0.4 between A and B.
  • The magnitude of the force acting on a particle at t = 1 s is 3 N, with its momentum varying as P = 3t + 4 kg m/s.
  • A body moved by a machine delivering constant power travels a distance proportional to t^(3/2).
  • In a system with two masses (5 kg and 10 kg) connected by light strings, the tension in the string supporting both masses is 100 N (g = 10 m/s²).
  • The work done by a force F = 2i + 2j around a square path OABCO of side 'a' is zero.
  • The linear momentum of a system remains constant when no external force acts on it.
  • A 10 kg block on a 60° inclined plane experiences a normal reaction of 50√3 N (g = 10 m/s²).
  • The magnitude of the tension in the horizontal string AB required to keep the 10 kg block is equilibrium is 100N.
  • A 4 kg body starting from rest reaches 5 m/s in 2 s; the average force acting on it is 10 N.
  • Law of conservation of momentum remains valid during inelastic collisions.
  • The minimum force required to hold a block of mass M against a rough vertical wall with friction coefficient µ is Mg/µ.
  • A 1 kg block on a rough horizontal surface (µ = 0.5) pulled by an 8 N force has a net work done of 30 J after covering 10 m (g = 10 ms⁻²).
  • For a particle in uniform circular motion with linear momentum magnitude p, the radial force is p²/rm, where m is mass and r is radius.
  • Instantaneous power is given by the expression F→ ⋅ v→.
  • A body under external unbalanced forces will move with some acceleration.
  • A force of 100 N acting for 10 ms changes the velocity of a 1 kg body from 20 m/s to approximately 20.05 m/s.
  • A body of mass 2kg and with 2 Ns momentum has 1/2 J Kinetic energy.
  • The ratio of normal contact forces for blocks A and B as indicated at the image is 1:4
  • A 0.2 kg ball decelerating from 20 m/s to a stop in 0.1 s experiences a force of 40 N.
  • Percentage loss of energy in dropping a ball from height h to a floor where it attains h/4 height is 75%.
  • A rider falls backward when a horse starts suddenly due to inertia of rest.
  • For a 1 kg block forced up a 30° incline by a 12 N force, the work done by gravity is -25 J, and by friction is -15 J (g = 10 m/s²).
  • In a perfectly elastic collision between two identical balls, the velocity of ball C after collision is zero.
  • Work done by a force is zero when the displacement of the point of application of force is zero.
  • The force needed to keep the block at equilibrium in given figure is Mg/2 (pulley and string are massless.)
  • A force of (3i + 4j + 5k) acting on a body for 2 seconds produces a displacement of (2i + 3j + 2k)m. The power is 14 W.
  • An applied impulse of mv/√3 is the value imparted on the wall by the described object.
  • Action and reaction forces are antiparallel to each other.
  • The acceleration of the particle at the bottom of the inclined plane is √[2gl(sinθ – μcosθ)].
  • A body constrained to move along the z-axis under a force F = (2i + 3j – 5k) N has work done of 30 J over 6 m.
  • The work done by force F = (4i - 3j + 2k) Non moving a particle from P (1, 1, 0) m to Q (3, 2, 1) m is 7 J.
  • Dyne is CGS unit of force.
  • As a body falls, its potential energy decreases and kinetic energy increases.
  • A bullet of mass 200 g with velocity change from 20 m/s to 10 m/s after striking a wooden block has work done by resistive forces of –30 J.

Section B Physics

  • Friction coefficient for angle of repose 37° is 0.75,
  • It will cause the motion of body statements is correct for frictional force.
  • A heavy uniform chain lies on a horizontal table top. If the coefficient of friction between chain and table top is 0.4, then the maximum fraction of length of the chain that can hang over the edge of table is1/3.
  • A heavy stone thrown from height h hits ground with maximum speed when thrown vertically downward (neglecting air resistance).
  • The gravitation force done by a stone (mass 20g from 2km, 200m/s) is 400J
  • When a spring is stretched by 1 cm, it stores energy 50 J. If it is further stretched by 1 cm,the stored energy will be 150J.
  • The acceleration of the child is 2 m/s2 if a child weighing 25 kg slides down a rope hanging from a branch of a tall tree and force of friction is 200N
  • The work done by a position release x=(t2+2t)m from 0 to 2sec is 16J
  • The particle will be in equilibrium in position A and C (based on diagrams).
  • The rated power of the engine is 25kW, if an engine lifts 400 kg mass through a height of 100 m in 20 s and the efficiency of engine is 80% (g = 10 m/s²)
  • The work done by centripetal force when a body is rotated with uniform speed in a circle is Zero.
  • The acceleration of 6kg mass figure is 2 ms^-2
  • Limiting friction The maximum force of static friction up to which body does not move is called:
  • Element of highest electronegativity among the following is Oxygen

Chemistry: Classification of elements and periodicity in properties, Chemical bonding and molecular structure

  • The atomic number of the element present in fourth period and sixth group of the modern periodic table is 24.
  • Reasons for variation in chemical behavior is related to small size, large charge/radius ratio, high electronegativity, unavailability of d-orbitals.. Correct reasons are (a), (b) and (c) only
  • The IUPAC symbol for the element having atomic number 106 is Unh.
  • The pair of elements with diagonal relationship is Be and Al.
  • As for what increases first ionization enthalpies, the given sequence of B < C < N is correct.
  • Incorrect order for atomic/ionic radii is 0^2- < Na+.
  • Molecule with highest polarity among the following is HF.
  • Of the following the molecule which does not have tetrahedral geometry is PCl5.
  • One of the following oxides N02 is expected to have odd number of valence electron.
  • Linear molecule among the folliwng is C2(CN)2
  • Maximum number of atoms present in a plane in S5FB is 4
  • NH4>NH3>NH2 is the Correct order of bond angle
  • sp3, sp2, sp The hybridisation of C1, C2 and C5 in the following compound respectively are
    • [PtCl4]2- Species which has square planar shape is
  • 7 Number of electrons present in antibonding molecular orbitals in N2 ion is
  • sp Which among the following hybrid orbitals has the maximum % s-character?
  • Maximum covalent character is present in CsF because it is the largest element.
  • (2) C-H > C–N > O-H is Correct order of bond length
  • HCI Hydrogen bond is not observed in
  • Isostructural is (3) I3, C2H2
  • Both statement I and II are incorrect choose the correct option if statement 1 is :Total number of electrons present in π antibonding molecular orbital of
  • N2 is zero. Statement II: Total number of antibonding electrons in N2 is 4.
  • Reason and assertion is that : - O ion makes the second electron gain process an endothermic.
  • Shape of XeOF2 molecule is - See-saw.

Chemistry Section B

  • a(ii), b(iv), c(i), d(iii) match the column in the order of the table
  • d(ii)103 is: Lawrencium match the atomic number given in List-I with
  • zero overlapping ? The best representation for
  • Statement I is incorrect but statement II is correct what is happening with (90)
  • (2 correct with assertion and reasoning statement.
  • Number of lone pair is a CIF3 = 12.
  • s2. lon which has the largest size is S^2- .
  • Isostructural pair among the following is ⊕ SF4 and NH4
    • The correct answer is (2) in (90) - a claim-based statement. - Which among the following has maximum bond length? - The answer is (3) C ≡ C.
  • highest ionization energy? is (3) Na+.
  • LICI Which among the following has highest lattice enthalpy?
  • Bond order of C2 molecule is 3.

Botany: Biological Classification & Morphology of Flowering Plants

  • Nostoc does not have Heterotrophic mode of nutrition.
  • A sleeping sickness causing organism is a parasitic protozoan with flagella.
  • Bacteria reproduce by means of Spores under unfavourable conditions.
  • Autotrophic bacteria are most abundant in nature is not a correct statement
  • The red tides in the oceans are mainly caused by Gonyaulax.
  • Dikaryophase is seen during the sexual reproduction of Mushroom.
  • Edible members of Ascomycetes are Morels and truffles.
  • Fungi growing on cow dung are called Coprophilous.
  • Eukaroytes and prokaryotes distinguish two kingdom system of classification
  • Albugo has Mycelium is aseptate and coenocytic
  • Double stranded DNA Viruses that infect bacteria usually have
  • Protista:Chlorella and Amoeba
  • Potato spindle tuber disease is an Infectious agent
  • Slime moulds Produce spores under unfavourable conditions
  • Are capable of converting CH4 intomethanogens CO2
  • Freshwater forms nor marine forms are Cyanobacteria
  • is used extensively in biochemicaland genetic work is Neurospora
  • belonging to mustard flowers belongs Polyadelphous stamens
  • maize .Seed coat is membranous and fused withfruit wall in
  • Persistent calyx is Fruits of Brinjal
  • does not have he modified storage tap root, is Sweet potato
  • being in Thorns and spines of plants, is The structures for self defence
  • develops at the base of the ovary inthe placenta is 1) Marigold
  • :127 The edible part of mango fruit is 3) Mesocarp
  • Micropyle of dicot seed. Forms seed coat: 1) Develops from integuments
  • Not distint: 2) calyx and corolla
  • Incorrect match: 3) green expanded part of leaf (Petiole)
  • compound leaf differs from a simple leaf in: Bearing axillary buds in axil of its leaflets -131
  • sensitive structures:. Tendrils of pea differ from cucumberas the former:
  • Medicinal plant: Muliathi medicinal plant is from family Fabaceae
  • the following is not true w.r.t.modification of leaves?: Leaves in grapevines are convertedinto tendrils for climbing 134
  • 135: The region where root hairs are present is: The region of Maturation 4
  • Ascomycetes andDeuteromycetes: Production of sexual spores

Section B Botany

  • 137: Euglenoids are photosynthetic and heterotrophic in the sun
  • 138: Prions areDevoid of proteins
  • 139: Sexual reproduction happens in the sequence: Plasmogamy, Plasmogamy,Meiosis
  • 140: Loose tissue body organisationis characteristic of Fungi
  • 140: Loose tissue body organisation of characteristic feature isFungi 141-Fungi and plantae common quality -Presence of cell wall
  • 142 aristole classified animals by -Morphological characters
  • stift outer layr -Dinoflagellates
  • -Monocots-Fibrous root system
  • for better respiration Pneumatophores .
  • pistia Odd-one w r t underground stem
  • colchine including plant. Member of angiospermicfamily that is non endo spermic Member of angiospermicfamily that is
  • -prop-Banyan
  • Main axis -In Cymose inflorescence The feature in china rose is 3- perigynous flower
  • 151 Elimination of glucose Respiration is helpful in all, except

Zoology: Breathing & Exchange of Gases, Body Fluids & Circulation

Section A Zoology

  • Respiration is not helpful for (4) Elimination of glucose
  • Is insignificant role of oxygen in respiratory rhythm
  • 20-25 In humans, solubility of CO2 in the blood is - --times higher than 02.
  • ERV + RV, Match column I with column II and select the
  • the following best describes inspiration when there positive pressure Select four
  • CO2 is transportedCarbaminohaemoglobin
  • 71-SAN pacemaker -Reason.correct
  • 84 all lungs only -Blood vessel and a single
  • Ateries
  • 87 increased and c02
  • 91, 3 2 chamber with -reptiles
  • 2:381 Reason, -lower
  • 83 pulmonary vien what does not have -73 to prevent collapsing-AV valvuates -88 pulmonary vien correct-315 and 5 inter coastal correct -41

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