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19 Questions around this concept.
A man of 50 kg mass is standing in a gravity-free space at a height of 10m above the floor. He throws a stone of 0.5kg mass downwards with a speed of 2m/s. When the stone reaches the floor, the distance of the man above the floor will be:
The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in sec) by t=. The displacement of the particle when its velocity is zero will be
The acceleration of the particles of linear motion changes a = 2s with the displacement(s), and the given velocity of the particles is zero when the displacement is zero. Find the corresponding velocity-displacement equation:
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Particles starting at the corners start moving along the diagonal of the cube with a constant speed of 1 m/s. Taking the angle as the origin, find the position of the particle after 1 second.
The displacement of a particle is given by where x is in metres and t in seconds. Then find the distance travelled by the particle in the first u seconds.
Which of these can be zero when the particle has been in motion for some time?
Position vector
Location of a point, in space, is an important physical quantity which is also known as position vectors.
Representation of position vector
Its magnitude is the distance between the initial point (tail) and the final point (head).
(Generally we take initial point as origin)
Its direction is from the initial point and the final point.
Magnitude of
E.g. If then its magnitude
Distance or Path length
Length of actual path between the initial and final positions of the body.
E.g. Distance travelled along circle for one complete rotation is
Tips of distance
Distance is a scalar quantity.
It is always positive.
S.I. Unit meter (m).
Dimension
Distance is depend on the path followed by body .
Displacement
Shortest path in between the initial and final position.
Tips for Displacement.
Displacement is a vector quantity.
It can be positive, zero and negative.
Displacement is independent of path.
S.I. unit Meter (m)
Dimension (L)
Displacement Distance.
E.g. For Semi circle
while
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