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What is similar from the dynamics point ...

What is similar from the dynamics point of view between a book lying stationary on the horizontal table and a raindrop falling downward with constant speed

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In both case resultant force is zero.
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A ball is thrown from a point with a speed 'v^(0)' at an elevation angle of theta . From the same point and at the same instant , a person starts running with a constant speed ('v_(0)')/(2) to catch the ball . Will the person be able to catch the ball ? If yes, what should be the angle of projection theta ?

Give the magnitude and direction of the net force acting on (a) a drop of rain falling down with a constant speed, (b) a cork of mass 10 g floating on water, (c) a kite skillfully held stationary in the sky, (d) a car moving with a constant velocity of 30 km/h on a rough road, (e) a high-speed electron in space far from all material objects, and free of electric and magnetic fields.

A magnetic field that varies in magnitude from point to point but has a constant direction (east to west) is set up in a chamber. A charged particle enters the chamber and travels undeflected along a straight path with constant speed. What can you say about the initial velocity of the particle?

A shell is fired from a point O at an angle of 60^(@) with a speed of 40 m//s & strikes a horizontal plane throught O, at a point A. The gun is fired a second time with the same angle of elevation but a different speed v. If it hits the target which starts to rise vertically from A with a constant speed 9sqrt(3) m//s at the same instant as the shell is fired, find v.

A rectangular box lies on a rough inclined surface. The coefficient of friction between the surface and the box is mu . Let the mass of the box be m. (a) At what angle of inclination 0 of the plane to the horizontal will the box just start to slide down the plane ? (b) What is the force acting on the box down the plane, if the angle of inclination of the plane is increased to a gt theta (c) What is the force needed to be applied upwards along the plane to make the box either remain stationary or just move up with uniform speed ? (d) What is the force needed to be applied upwards along the plane to make the box move up the plane with acceleration a ?

An object A is kept fixed at the point x= 3 m and y = 1.25 m on a plank p raised above the ground . At time t = 0 the plank starts moving along the +x direction with an acceleration 1.5 m//s^(2) . At the same instant a stone is projected from the origin with a velocity vec(u) as shown . A stationary person on the ground observes the stone hitting the object during its downward motion at an angle 45(@) to the horizontal . All the motions are in the X -Y plane . Find vec(u) and the time after which the stone hits the object . Take g = 10 m//s

A spring of force constant k is kept in the compressesd condition between two blocks masses m and M on the smooth surface of a table as shown in figure .When the spring is released , both the blocks move in opposite directions .When the spring attains the orginal (normal ) position . both blocks lose the constacts with the spring . If x is the intial compression of the spring find the speeds of block while getting detached from the spring .

KUMAR PRAKASHAN-LAW OF MOTION-SECTION-C(OBJECTIVE QUESTIONS) (VSQS)
  1. Write value of safe speed on frictionless level circular track.

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  2. For a vehicle moving on a banked curved road, using free body diagram ...

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  3. What is level of wear and tear for vehicle moving on banked curved roa...

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  4. Write condition that vehicle can be parked on circular road with slope...

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  5. If vehicle is moving on banked curved road and v lt v(0), then what wi...

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  6. Which component of force provide centripetal force to vehicle moving w...

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  7. Why isolated (single) force does not exist in nature ?

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  8. Can we get out of smooth surface by taking jump on it ?

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  9. “When a person walk on rough surface then frictional force act in oppo...

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  10. Radius of level circular track is 20 m. If co­efficient of friction is...

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  11. Area enclosed by Frarr t graph for given body in 1 sec. interval is 10...

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  12. A vehicle of 100 kg is moving with velocity of 5 m/s. How much force w...

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  13. Is equation overset(rarr)f = ma valid in each and every case ? Why ?

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  14. A ball of mass 0.2 kg is thrown in the vertical direction with a veloc...

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  15. What is similar from the dynamics point of view between a book lying s...

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  16. F rarr t graph for a body is shown in the . What is the change in the ...

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  17. Give dimensional formula of impulse of force.

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  18. As per Bohr model, the minimum energy (in eV) required to remove an el...

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  19. In uniform circular motion (i) only the value of velocity is constan...

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  20. Which out of (i) value of velocity, (ii) value of acceleration, ...

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