JEE Questions for Physics Motion In A Plane Quiz 4 - MCQExams.com

A cart is moving horizontally along a straight line with constant speed 30 ms -1. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80 m. At what speed (relative to the cart) must the projectile be fired? (take, g =10 ms -2)
  • 10 ms -1
  • 10√8 ms -1

  • Physics-Motion in a Plane-80371.png
  • None of these

Physics-Motion in a Plane-80373.png

  • Physics-Motion in a Plane-80374.png
  • 2)
    Physics-Motion in a Plane-80375.png

  • Physics-Motion in a Plane-80376.png

  • Physics-Motion in a Plane-80377.png

Physics-Motion in a Plane-80379.png

  • Physics-Motion in a Plane-80380.png
  • 2)
    Physics-Motion in a Plane-80381.png

  • Physics-Motion in a Plane-80382.png
  • zero
For a particle in uniform circular motion, the acceleration a at a point P(R, θ) on the circle of radius R is (here θ is measured from the X–axis)
Physics-Motion in a Plane-80384.png

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  • 2)
    Physics-Motion in a Plane-80386.png

  • Physics-Motion in a Plane-80387.png

  • Physics-Motion in a Plane-80388.png

Physics-Motion in a Plane-80390.png

  • Physics-Motion in a Plane-80391.png
  • 2)
    Physics-Motion in a Plane-80392.png

  • Physics-Motion in a Plane-80393.png

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A particle is moving in a circle of radius R in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t = 0 is v0, the time taken to complete the first revolution is

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  • 2)
    Physics-Motion in a Plane-80397.png

  • Physics-Motion in a Plane-80398.png

  • Physics-Motion in a Plane-80399.png
A particle of mass m is projected from the ground with an initial speed u0 at an angle with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u0. The angle that the composite system makes with the horizontal immediately after the collision is

  • Physics-Motion in a Plane-80401.png
  • 2)
    Physics-Motion in a Plane-80402.png

  • Physics-Motion in a Plane-80403.png

  • Physics-Motion in a Plane-80404.png
The path of projectile is given by the equation y = ax - bx2 , where a and b are constants and x and y are respectively horizontal and vertical distances of projectile from the point of projection. The maximum height attained by the projectile and the angle of projection are respectively.

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  • 2)
    Physics-Motion in a Plane-80407.png

  • Physics-Motion in a Plane-80408.png

  • Physics-Motion in a Plane-80409.png
A small particle of mass m is projected at an angle θ with the X–axis with an initial velocity vo in the X–Y plane as shown in the figure. At a time
Physics-Motion in a Plane-80411.png

  • Physics-Motion in a Plane-80412.png
  • 2)
    Physics-Motion in a Plane-80413.png

  • Physics-Motion in a Plane-80414.png

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A particle is projected with certain velocity at two different angles of projections with respect to horizontal plane so as to have same range R on a horizontal plane. If t1 and t2 are the time taken for the two paths, which one of the following relations is correct?

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  • 2)
    Physics-Motion in a Plane-80418.png

  • Physics-Motion in a Plane-80419.png

  • Physics-Motion in a Plane-80420.png
From an inclined plane two particles are projected with same speed at same angle θ , one up and other down the plane as shown in figure, which of the following statements is/are correct?
Physics-Motion in a Plane-80422.png
  • The time of flight of each particle is the same
  • The particles will collide the plane with same speed
  • Both the particles strike the plane perpendicularly
  • The particles will collide in mid air if projected simultaneously and time of flight of each particle is less than the time of collision

Physics-Motion in a Plane-80424.png
  • 3840
  • 1280
  • 1440
  • 960
A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or the right by 90º. After walking a total of 40 steps the maximum displacement of the person from his starting position could be
  • 32 m
  • 2)
    Physics-Motion in a Plane-80426.png

  • Physics-Motion in a Plane-80427.png
  • none of the above

Physics-Motion in a Plane-80429.png

  • Physics-Motion in a Plane-80430.png
  • 2)
    Physics-Motion in a Plane-80431.png

  • Physics-Motion in a Plane-80432.png
  • 1.0

Physics-Motion in a Plane-80434.png
  • 1 and 3
  • 2 and 3
  • 1 and 4
  • 2 and 4

Physics-Motion in a Plane-80436.png
  • +23 J
  • –23 J
  • 1015J

  • Physics-Motion in a Plane-80437.png
Which of the following sets of displacements might be capable of returning a car to its starting point.
  • 4, 6, 8 and 15 km
  • 10, 30, 50 and 120 km
  • 5, 10, 30 and 50 km
  • 40, 50, 75 and 200 km
A particle is moving towards East with a velocity of 5 ms–1. In 10 seconds the velocity changes to 5 ms–1 towards North. The acceleration in this time is
  • 0.5 ms–2 towards North-West
  • 0.5 ms–2 towards North-East

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  • 2)
    Physics-Motion in a Plane-80444.png

  • Physics-Motion in a Plane-80445.png

  • Physics-Motion in a Plane-80446.png

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  • 2)
    Physics-Motion in a Plane-80450.png

  • Physics-Motion in a Plane-80451.png

  • Physics-Motion in a Plane-80452.png

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  • –0.2
  • 2)
    Physics-Motion in a Plane-80454.png
  • 0

  • Physics-Motion in a Plane-80455.png

Physics-Motion in a Plane-80457.png

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  • 2)
    Physics-Motion in a Plane-80459.png

  • Physics-Motion in a Plane-80460.png

  • Physics-Motion in a Plane-80461.png

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  • –2
  • 8
  • –7
  • = –8

Physics-Motion in a Plane-80465.png
  • 4 units due East
  • 8 units due East
  • 16 units due East
  • 16 units due West
The magnitude of a given vector whose end points are at (4, -and (-2, -must be

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  • 2)
    Physics-Motion in a Plane-80468.png

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  • 2)
    Physics-Motion in a Plane-80474.png

  • Physics-Motion in a Plane-80475.png

  • Physics-Motion in a Plane-80476.png

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  • 22 units
  • –22 units
  • 33 units
  • –33 units

Physics-Motion in a Plane-80480.png

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  • 2)
    Physics-Motion in a Plane-80482.png

  • Physics-Motion in a Plane-80483.png

  • Physics-Motion in a Plane-80484.png

Physics-Motion in a Plane-80486.png
  • Zero
  • Can never be zero

  • Physics-Motion in a Plane-80487.png

  • Physics-Motion in a Plane-80488.png
The vector sum of N coplanar forces, each of magnitude F, when each force is making an angle of 2π/N with that preceding it, is
  • F
  • 2)
    Physics-Motion in a Plane-80490.png
  • NF
  • zero
0:0:1


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