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Motion in a Plane · Question 34

AIPMT 2008MCQEasy📈 Topic in 38% papers+4−1
1

A particle of mass m is projected with velocity v making an angle of 45 with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be :

  1. mv 2
  2. zero
  3. 2mv
  4. mv/ 2

Answer

(1) mv 2

Solution

The horizontal component of velocity (v 45 ) does not change during the flight.

The vertical component changes from v 45 upwards to v 45 downwards.

| p| = m(v 45 ) - (-m v 45 )

| p| = 2mv 45 = 2mv 1 2

| p| = mv 2

Answer: (1)

AIPMT 2008

Keep practising — Motion in a Plane

2

A and B are two vectors and θ is the angle between them. If | A B| = 3 ( A B), the value of θ is

  1. 45
  2. 30
  3. 90
  4. 60
AIPMT 2007
3

A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are ( 3, 3 ). The path of the particle makes with the x-axis an angle of

  1. 45
  2. 60
  3. 0
  4. 30
AIPMT 2007
4

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

  1. 10 m/s, 0
  2. 0, 0
  3. 0, 10 m/s
  4. 10 m/s, 10 m/s.
AIPMT 2006
5

For angles of projection of a projectile at angle (45 - ) and (45 + ), the horizontal range described by the projectile are in the ratio of

  1. 2 : 1
  2. 1 : 1
  3. 2 : 3
  4. 1 : 2.
AIPMT 2006
6

The vectors A and B are such that | A + B| = | A - B|. The angle between the two vectors is

  1. 45
  2. 90
  3. 60
  4. 75
AIPMT 2006
7

Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other in a time t, where t is

  1. a v2 + v12
  2. av + v1
  3. av - v1
  4. a2v2 - v12
AIPMT 2005
8

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 seconds, what is the magnitude and direction of acceleration of the stone?

  1. 2 m s-2 and direction along the radius towards the centre
  2. 2 m s-2 and direction along the radius away from the centre
  3. 2 m s-2 and direction along the tangent to the circle
  4. 2/4 m s-2 and direction along the radius towards the centre.
AIPMT 2005
9

If the angle between the vectors A and B is , the value of the product ( B A ) A is equal to

  1. BA2
  2. BA2
  3. BA2
  4. zero.
AIPMT 2005
10

If a vector 2 i + 3 j + 8 k is perpendicular to the vector 4 j - 4 i + k, then the value of is

  1. 1/2
  2. -1/2
  3. 1
  4. -1.
AIPMT 2005
11

If | A B| = 3 A B then the value of | A + B| is

  1. (A2 + B2 + AB)1/2
  2. (A2 + B2 + AB 3 )1/2
  3. A + B
  4. (A2 + B2 + 3AB)1/2
AIPMT 2004

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