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How do you deduce that two vectors are perpendicular?
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The position vector particle has a length of 1m and makes 30° with the x-axis. What are the lengths of the x and y components of the position vector?
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Compare the components for the following vector equations
(a) `"T"hatj - "mg"hatj = "ma"hatj`
(b) `vecT + vecF = vecA + vecB`
(c) `vecT - vecF = vecA - vecB`
(d) `"T"hatj + "mg"hatj = "ma"hatj`
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Explain the characteristics of elastic and inelastic collision.
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Define the following:
Coefficient of restitution
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Arrive at an expression for elastic collision in one dimension and discuss various cases.
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What is inelastic collision? In which way it is different from an elastic collision. Mention a few examples in day-to-day life for inelastic collision.
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Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find the direction in which A moves after the collision.
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A closed cylindrical container is partially filled with water. As the container rotates in a horizontal plane about a perpendicular bisector, its moment of inertia, ______
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From a disc of radius R a mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through it?
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The time period of a satellite orbiting Earth in a circular orbit is independent of
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The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then
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If a person moves from Chennai to Trichy, his weight _________.
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Mention any two physical significance of the moment of inertia.
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What is the radius of gyration?
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The kinetic energy of the satellite orbiting around the Earth is __________.
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Derive the expression for the moment of inertia of a rod about its centre and perpendicular to the rod.
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What is meant by escape speed in the case of the Earth?
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Why is the energy of a satellite (or any other planet) negative?
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What are geostationary and polar satellites?
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