## Category: Motion in a Plane

## A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?

A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the Read More …

## A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 k m/h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s-1 to hit the plane? At what minimum altitude should the pilot fly the plane to avoid being hit? (Take g = 10 m s-2 )..

A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 k m/h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s-1 Read More …

## A bullet fired at an angle of 3 0° with the horizontal hits the ground 3.0 km a way. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to the fixed, and neglect air resistance.

A bullet fired at an angle of 3 0° with the horizontal hits the ground 3.0 km a way. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to Read More …

## Can you associate vectors with (a) the length of a wire bent into a loop, (b) a plane area, (c) a sphere? Explain.

## A vector has both magnitude and direction. Does it mean that anything that h as magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?

A vector has both magnitude and direction. Does it mean that anything that h as magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the Read More …

## A vector has magnitude and direction. Does it have a location in space? Can it vary with time? Will two equal vectors a and b at different locations in space necessarily have identical physical effects? Give examples in support of your answer.

## An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10.0 s apart is 30o, what is the speed of the aircraft?

## Read each statement below carefully and state, with reasons and examples, if it is true or false: A scalar quantity is one that is conserved in a process can never take negative values must be dimensionless does not vary from one point to another in space has the same value for observers with different orientations of axes

Read each statement below carefully and state, with reasons and examples, if it is true or false: A scalar quantity is one that is conserved in a process can never take negative values must be dimensionless does not vary from Read More …

## For any arbitrary motion in space, which of the following relations are true:

## i and j are unit vectors along x- and y-axis respectively. What is the magnitude and direction of the vectors i+ j, and i- j ? What are the components of a vector a=2i+3j along the directions of i+ j and i- j ? [You may use graphical method]

i and j are unit vectors along x- and y-axis respectively. What is the magnitude and direction of the vectors i+ j, and i- j ? What are the components of a vector a=2i+3j along the directions of i+ j and i- Read More …