Motion in Two Dimension

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

To apply a force in the opposite direction

To change the magnitude of velocity

To maintain the circular path

Because velocity cannot change by itself (correct)

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

Parallel to the velocity

At an angle of 45 degrees to the velocity

Opposite to the velocity

Perpendicular to the velocity (correct)

What is the purpose of the centripetal force?

To increase the speed of the body

To decrease the speed of the body

To move the body in a circular path with uniform speed (correct)

To change the direction of the force

What is the direction of the centripetal force?

Towards the centre Signup and view all the answers

Why must the force act along the radius?

Because the radius is perpendicular to the tangent Signup and view all the answers

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

Because observer B is also moving in a circular path Signup and view all the answers

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

It moves in a straight line Signup and view all the answers

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

Centrifugal force Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

Who experiences the centrifugal force?

Observer O2 only Signup and view all the answers

What is the work done by centripetal force?

Zero, because it is perpendicular to velocity Signup and view all the answers

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

Because its energy remains constant Signup and view all the answers

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

It must be moving at a particular speed Signup and view all the answers

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

10 N Signup and view all the answers

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

80√3 ms^(-1) Signup and view all the answers

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

80√3 ms^(-1) Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

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) Signup and view all the answers

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

ut Signup and view all the answers

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

gt Signup and view all the answers

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

tan^(-1)(gt/u) Signup and view all the answers

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

sqrt(2n*h/g) Signup and view all the answers

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

2u^2/g*b Signup and view all the answers

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

2 m/s Signup and view all the answers

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

Both will hit simultaneously Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

Motion in Two Dimension

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Questions and Answers

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

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

What is the purpose of the centripetal force?

What is the direction of the centripetal force?

Why must the force act along the radius?

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

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

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

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.?

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

Who experiences the centrifugal force?

What is the work done by centripetal force?

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

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

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

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

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

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?

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)?

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?

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

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

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

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

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

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

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

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

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

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

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