### 1. A light body and heavy body have equal momentum, which one have greater kinetic energy?

### 2. What does speedometer of a car indicates?

### 3. Write down the dimensions of viscosity coefficient

### 4. Why do we use ball-bearings?

### 5. How errors are combined in following mathematical operations of physical quantities?

(i) Subtraction (ii) Product

### 6. Draw the Velocity – Time graph for following cases when (i) Object is moving in positive direction with acceleration (ii) An object is under free fall.

### 7. Derive the necessary relation for safest velocity of an automobile on a banked road of radius r and friction coefficient μ.

###
8. If variation of position with time t is given by **x = a + ****bt**** + ct****2 **. Write the dimensions of a, b & c.

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9. The forces whose magnitude is in the ratio of 3:5 give a resultant of 35

N. If the angle b/w them is 60°. Find the magnitude of each force.

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10. What is an impulse? A ball coming towards a batsman with a certain

velocity U. He deflects the ball by an angle Q and its velocity increases to V. Draws A vector diagram to show initial momentum, find momentum and impulse.

### 11. In the given system of masses m1= 5 kg, and coefficient of friction for each constant is 0.2. Calculate the mass m2, if m1 is sliding down with an acceleration of 2 ms–2. What will be the tension in the string?

### 12. The radius and length of a solid cylinder is measured as R = (10.0 ± 02) cm, I = (20.0 ± 0.5) cm. Calculate the volume and surface area of the cylinder and error in them.

### 13. A bomb is exploded into three fragments of mass 1:2:3. The fragment having lighter masses move with a speed of 40 m/s in mutually perpendicular to each other. Calculate the velocity of the third fragment.

### 16. Define and prove conservation of linear momentum.

### 17. If the momentum of an object is increased by 50%, Calculate the percentage changes in its K.E.

OR

Two particles having mass ratio of 4:5 have same K.E. Calculate the ration of their linear momentum.

### 18. The velocity- Time relation of a particle is given by V = (3t2 – 2t – 1) m/ s. Calculate using calculus method, the position and acceleration of the particle when the velocity of the particle is zero. Given the initial position of the object is 5 m.

### 19. Express 10 J of energy in a new system of units in which 100 g, 10 cm, 30 sec are the fundamental units. Determine which one of them is bigger unit of energy.

### 20. The escape velocity (v) of a body depends upon the mass (m) of body, gravitational acceleration (g) and radius (R) of the planet. Derive the relation for escape velocity dimensionally.

### 21. State and Prove Work- Energy Theorem. OR Define uniform velocity of an object moving along a straight line. What will be shape of velocity time and position-time graphs of such a motion?

### 22. If a composite physical quantity in terms of moment of inertia I, force F, velocity V, work W and length L is define as, Q = (I F V2/W L3). Find the dimension of Q and identify it.

### 23. Explain why a man who fall from a height on a cemented floor receive more injury then when he fall from the same height on the heap of sand.

### 24. Is it possible to have collision in which all the kinetic energy is lost? If so cite an example.

### OR

### Prove that mechanical energy remains conserved during motion when a body of mass m is dropped from a height h.

### 25. Two masses 8 kg and 12 kg are connected at the two ends of an inextensible string that passes over a frictionless pulley. Find the acceleration of the masses and tension in the string when masses are released.

### 26. A body of mass 1 Kg initially at rest is moved by a horizontal force of 0.5 N on a smooth friction less table. Calculate the work done by the force in 10 S and show that it is equal to the change in kinetic energy of the body

### 27. Two bodies of masses m1 and m2 (m1 m2) moving with initial velocities u1 and u2 (u1 > u2), along a straight line in the same direction, suffer perfect head on collision. Find their velocities after collision.

### 28. State Parallelogram law of vector addition. Find the magnitude and direction of the resultant of two vectors A and B in terms of their magnitudes and angle between them.

### OR

### 28 (i) Explain why it is easier to pull a roller than to push it.

(ii) State Newton’s laws of motion with at least one example of each.

Show that Newton’s second law is the real law.

### 29. What do you understand by friction? Explain static friction, limiting friction and kinetic friction. Which of them self adjusting in nature? Draw a graph to show the variation of frictional force with applied force.

OR

(i) Derive the equation S = ut + 1/2 at2 using graphical method.

(ii) Show that the velocity of particle in a circular is always tangential

to the circle.

### 30. A projectile is fired in air making an angle θ with horizontal. Show that

(i) Its path is parabolic in nature.

(ii) Tan θ = 4H/R where H is maximum height attained and R is the range of projectile.

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