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Motion in a Plane Test - 10
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Motion in a Plane Test - 10

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  • Question 1/10
    4 / -1
    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)
    Solutions

  • Question 2/10
    4 / -1

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  • Question 3/10
    4 / -1

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  • Question 4/10
    4 / -1
    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)

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  • Question 5/10
    4 / -1

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  • Question 6/10
    4 / -1
    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
    Solutions

  • Question 7/10
    4 / -1
    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
    Solutions

  • Question 8/10
    4 / -1
    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.
    Solutions

  • Question 9/10
    4 / -1
    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

    Solutions

  • Question 10/10
    4 / -1
    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?
    Solutions

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