Date -27/03/2020
Laws of motion and Gravitation
Q 1. State the conditionsof equilibrium of rigid body.
Q.2. Define Centre of mass.
Q.3 State and prove law of conservation of linear momentum.
Q.4 Define coefficient of restitution and obtain the value for an elastic and perfectly inelastic collision.
Q.5. Define critical velocity and obtain it's expression.
Q.6. Derive the Expression for variation in 'g' with altitude.
Q.7. Define binding energy and obtain it's expression.
Q.8. Calculate the acceleration due to gravity at a height of 300 km from the surface of earth.
Q.9 Calculate K.E,T.E,P.E. & B.E. of an artificial satellite of mass 2000kg orbiting at a height of 3600km above the surface of earth.
Q.10. 40000 litre of oil of density 0.9g cc is pumped from an oil tanker ship into a storage tank at 10 m higher level than the ship in half an hour. What should be the power of pump?
Q. 11. A marble of mass 2m travelling at 6 cm/s is directly followed by another marble of mass m with double speed. After collision the heavier one travels with average initial speed of two. Calculate coefficient of restitution.
Answers
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Answer:
Q 1 In other words, the body is in mechanical equilibrium when it has neither linear acceleration nor angular acceleration. (1) The total or net force i.e. the vector sum of all the forces, on the rigid body is zero. (2) The total Torque i.e. the vector sum of the torques on the rigid body is zero.
Q 2. Centre of mass of a system is the point that behaves as whole mass of the system is concentrated at it and all external forces are acting on it.
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1
Answer:
Answer 1 :- a) the total or net force i. e. the vector sum of all the forces is zero
b) the total torque i. e. the vector sum of the torques on the rigid body is zero
Answer 2:- in physics center of mass is a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero.
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