$(a)$ Define circular motion.
$(b)$ "Uniform circular motion is an accelerated motion". Justify this statement with reason.
$(c)$ An artificial satellite is moving in a circular orbit of radius $42250\, km.$ Calculate its speed if it takes $24$ hours to revolve once around the earth.
$(a)$ If a body is moving along a circular path, then the body is said to be in circular motion.
$(b)$ Circular motion is an accelerated motion because the direction of its velocity is continuously changing but the magnitude of its velocity remains same.
$(c)$ Distance covered in one revolution
$2 \pi r=2 \times 3.14 \times 42250=265330\, km , t=24$ hour
Therefore, Speed $=\frac{\text { Distance }}{\text { Time }}=\frac{265330}{24}$
$=11055.42 km h ^{-1}$
The following table show os the positon of three persons between $8.00\, am$ to $8.20\, am$.
Time | Position (in $km$) | ||
Person $A$ | Person $B$ | Person $C$ | |
$8.00 \,am$ | $0$ | $0$ | $0$ |
$8.05 \,am$ | $4$ | $5$ | $10$ |
$8.10\, am$ | $13$ | $10$ | $19$ |
$8.15 \,am$ | $20$ | $15$ | $24$ |
$8.20\, am$ | $25$ | $20$ | $27$ |
$(i)$ Who is moving with constant speed ?
$(ii)$ Who has travelled maximum distance between $8.00\, am$ to $8.05\, am$ ?
$(iii)$ Calculate the average speed of person $'A^{\prime}$ in $k m h^{-1}$
A particle is moving in a circular path of radius $r$. The displacement after half a circle would be :
What does the slope of a displacement$-$time graph represent ? Can displacement$-$time sketch be parallel to the displacement axis ? Give reason to your answer.
If the displacement-time graph for a particle is parallel to displacement axis, what is the velocity of the particle ?
Account for the following
$(a)$ What is the shape of the path of a body when it is in uniform motion ?
$(b)$ Give one example of non$-$uniform motion.
$(c)$ Two cars $A$ and $B$ have their $x-t$ graph as shown in figure. Which has greater velocity ?
$(d)$ What is the quantity which is measured by the area occupied below the velocity$-$time graph ?
$(e)$ A body is moving with a velocity of $10\, m s ^{-1}$. If the motion is uniform, what will be the velocity after $10\, s$ ?