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A circular racetrack of radius 300 m is banked at an angle of 15°. If the coefficient of friction between the wheels of the race car and the road is 0.2. Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping. (Take, `g = 9.8 ms^(-2) and tan 15° =
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chapter5
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Assertion: Newton’s third law of motion is applicable only when bodies are in motion. Reason: Newton’s third law does not applies to all types of forces, e.g. gravitational, electric or magnetic forces,
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Conservation of Momentum This principle is a consequence of Newton’s second and third laws of motion.In an isolated system (i.e. a system having no external force), mutual forces (called internal forces) between pairs of particles in the system causes momentum change in individual particles.Let a bomb be at rest, then its momentum will be zero. If the bomb explodes into two equal parts, then the parts fly off in exactly opposite directions with same speed, so that the total momentum is still zero. Here, no external force is applied on the system of particles (bomb).A bullet of mass 10 g
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A body of mass `5 kg` is thrown vertically up with a kinetic energy of `490J.` The height at which the kinetic energy of the body becomes half of the original value is
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Assertion: Two particles are moving in the same direction do not lose all their energy in completely inelastic collision. Reason: Principle of conservation of momentum does not holds true for all kinds of
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Kinetic Energy The energy possessed by a body by virtue of its motion is called kinetic energy. In other words, the amount of work done, a moving object can do before coming to rest is equal to its kinetic energy.`.^..' '` Kinetic energy, `KE =1/2mv^2` where, `m` is a mass and `v` is the velocity of a body.The units and dimensions of KE are Joule (in SI) and `[ML^2T^(-2)]`, respectively. Kinetic energy of a body is always positive. It can never be negative.Which of the diagrams shown in figure most closely shows the variation in kinetic
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A body having a moment of inertia about its axis of rotation equal to `3 kg-m^2` is rotating with angular velocity of `3 rad s^(-1)`. Kinetic energy of this rotating body is same as that of a body of mass 27 kg moving with a velocity `v`. The value of `v`
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Moment of InertiaA heavy wheel called flywheel is attached to the shaft of steam engine, automobile engine etc., because of its large moment of inertia, the flywheel opposes the sudden increase or decrease of the speed of the vehicle. It allows a gradual change in the speed and prevents jerky motion and hence ensure smooth ride of passengers.A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis. It is possible
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A mass of 1g is separated from another mass of 1g by a distance of 1 cm. How many force (in g-wt) exists between
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Assertion: In the satellite, everything inside it is in a state of free fall. Reason: Every part and parcel of the satellite has zero
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A person deep inside water cannot hear sound waves produces in air.
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With two characteristics of gravitational
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1) Water flows steadily along a horizontal pipe at a rate of `8 × 10^(-3)m^3`/s. If the area of cross – section of the pipe is `40 × 10^(-4) m^2`, Calculate the flow velocity of water.2) Find the total pressure in the pipe if the static pressure in the horizontal pipe is `3 × 10^4 Pa`. Density of water is `1000 Kg`/`m^3`.3. What is the net flow velocity if the total pressure is `3.6 × 10^4
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If one Mole of a monatomic gas is mixed with 3 moles of a diatomic gas. What is the molecular specific heat of the mixture at constant
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A layer of ice 10cm thick is formed on a pond. The temperature of air is `– 10^oC`. Calculate how long it will take for the thickness of ice to increase by 1mm. Density of ice` = 1g|cm^3`; Thermal conductivity of ice `= 0.005Cal|s|cm|^oC`; Latent heat of ice `= 80Cal|g`
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What are the assumptions of kinetic theory of
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In changing the state of a gas adiabatically from an equilibrium state A to another equilibrium state B, an amount of work equal to 22.3 J is done on the system. If the gas is taken from state A to B via a process in which the net heat absorbed by the system is 9.35 cal, how much is the net work done by the system in the latter case ? (Take 1 cal = 4.19
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Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 `m^3` at a temperature of 27 °C and 1 atm
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Explain why A spinning cricket ball in air does not follow a parabolic
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In Millikan’s oil drop experiment, what is the terminal speed of an uncharged drop of radius 2.0 × 10–5 m and density `1.2 × 10^3` kg `m^(–3)`. Take the viscosity of air at the temperature of the experiment to be `1.8 × 10^(–5)` Pa s. How much is the viscous force on the drop at that speed ? Neglect buoyancy of the drop due to
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