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Motion in Two Dimension

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30 Questions

What is the primary reason a force must be applied to change the direction of velocity?

Because velocity cannot change by itself

What is the direction of the force required to move a body in a circular path?

Perpendicular to the velocity

What is the purpose of the centripetal force?

To move the body in a circular path with uniform speed

What is the direction of the centripetal force?

Towards the centre

Why must the force act along the radius?

Because the radius is perpendicular to the tangent

What is the primary reason why observer B cannot relate the event to inertia?

Because observer B is also moving in a circular path

What happens to the body when the centripetal force ceases to act on it?

It moves in a straight line

What is the name given to the imaginary force that appears to act on the body from the perspective of observer B?

Centrifugal force

In the problem described, what happens to the tension in the string when the speed of the ball is increased from 10 r.p.m. to 20 r.p.m.?

It increases by a factor of 4

What is the relationship between the tension in the string and the angular velocity of the ball?

Tension is directly proportional to the square of angular velocity

Who experiences the centrifugal force?

Observer O2 only

What is the work done by centripetal force?

Zero, because it is perpendicular to velocity

Why does an electron in a hydrogen atom not absorb or emit energy when revolving around the nucleus?

Because its energy remains constant

What is the condition for a satellite to revolve around the earth without requiring fuel?

It must be moving at a particular speed

What is the centripetal force acting on a particle doing uniform circular motion in a horizontal plane?

10 N

What is the velocity of the projectile at the highest point of its parabola?

80√3 ms^(-1)

What is the horizontal velocity of the projectile when it is projected at an angle of 30° to the horizontal?

80√3 ms^(-1)

What is the time of flight of the projectile if it is fired at 30° to the horizontal and has a vertical component of velocity of 80 ms^(-1) at the highest point?

T

What is the horizontal range of the projectile if it is fired at 30° to the horizontal with an initial velocity of 160 ms^(-1)?

140√3 m

What is the velocity of the projectile at t = T/2, given that its time of flight is T and it is fired at 30° to the horizontal?

80√3 ms^(-1)

What is the horizontal displacement of the ball after time t?

ut

What is the vertical component of the velocity of the ball after time t?

gt

What is the direction of the instantaneous velocity of the ball at any point in its motion?

tan^(-1)(gt/u)

What is the time of descent of the ball from the top of the staircase to the nth step?

sqrt(2n*h/g)

What is the horizontal range of the ball from the top of the staircase to the nth step?

2u^2/g*b

What is the minimum horizontal velocity required for the ball to hit the lowest plane?

2 m/s

If two bullets are fired horizontally with different speeds from the same height, which one will hit the ground first?

Both will hit simultaneously

An object is projected horizontally from a height of 40 meters with a velocity of 20 m/s. What is the time of flight?

4 seconds

A bomb is dropped from an aeroplane flying at a height of 1960 meters. What is the time of flight of the bomb?

20 seconds

What is the horizontal range of a projectile motion with an initial velocity of 20 m/s and a height of 10 meters?

40 meters

Test your understanding of inertia and relative motion with this quiz. Learn how observers in different frames of reference perceive the motion of an object. Assess your knowledge of physics concepts like inertia and centripetal force.

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