A particle moves from A to P and then it moves from P to B as shown in the figure. Find path length and displacement.

As shown in the figure a particle moves from. 0 to A, and then $A$ to B. Find pathlength and displacement.

Maths-

The vectors $a with not stretchy bar on top comma b with not stretchy bar on top comma c with not stretchy bar on top$ are equal in length and pair wise make equal angles. If $a with not stretchy bar on top equals l with not stretchy bar on top plus ȷ with not stretchy bar on top comma b with not stretchy bar on top equals ȷ with not stretchy bar on top plus k with not stretchy bar on top$ , then $c with not stretchy bar on top equals$

For such questions, concept of scalar product is important. When we take a dot product of two vectors, we get a scalar value. This is called as scalar product.

The vectors $a with not stretchy bar on top comma b with not stretchy bar on top comma c with not stretchy bar on top$ are equal in length and pair wise make equal angles. If $a with not stretchy bar on top equals l with not stretchy bar on top plus ȷ with not stretchy bar on top comma b with not stretchy bar on top equals ȷ with not stretchy bar on top plus k with not stretchy bar on top$ , then $c with not stretchy bar on top equals$

Maths-General

For such questions, concept of scalar product is important. When we take a dot product of two vectors, we get a scalar value. This is called as scalar product.

The figure shows elliptical orbit of a planet m about the sun s . the shaded area SCD is twice, the Saded area SAB. If t₁ is the time tor the planet to move trom C' and U and t₂ is the time to move from A to B then

A Particle of mass $m$ is at rest at t=0. The force exerting on it in $x$ -direction is $F left parenthesis t right parenthesis equals F subscript a end subscript e to the power of negative k end exponent$ . Which one of the following graph is of speed $V left parenthesis t right parenthesis rightwards arrow t$

As shown in figure a block of mass $m$ is aftachod with a cart. If the coefficient of static friction between the surface of cart and block is $mu blank$ than what would be accelcration $alpha$ of cart to prevent the falling of block ?

maths-

If the vectors $a with not stretchy bar on top equals open parentheses c log subscript 2 space x close parentheses ı with not stretchy bar on top minus 6 ı with not stretchy bar on top plus 3 k with not stretchy bar on top$ and $b with not stretchy bar on top equals open parentheses log subscript 2 space x close parentheses ı with not stretchy bar on top plus 2 ȷ with not stretchy bar on top plus open parentheses 2 log subscript 2 space x close parentheses k with not stretchy bar on top$ make an abtuse angle for any $x element of left parenthesis 0 comma straight infinity right parenthesis$ , then $C$ belangs to

maths-General

A geostationary satellite is orbiting the earth at a height of 5R above that of surface of the earth. R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of earth is hr.

chemistry-

The most common minerals of phosphorus are

chemistry-General

The time period T of the moon of planet Mars(Mm) is related to its orbital radius R as (G = Gravitational constant)

A mass of 6 kg is suspended by a rope of lengih 2 m form the ceiling . A force of 50 N in the horizonlal direction is applied at the mid Point P of the rope as shown in figure. what is the angle the rope makes. with the vertical in equilibrium ? $open parentheses g equals 10 text end text m s to the power of 2 end exponent close parentheses$ Neglect mass of the rope:

Two bodies A and B cach of mass $m$ are fixed together by a massless spring $A$ force $F$ acts on the mass B as shown in figure. At the instant shown, a body A has an accelcration a. what is the acceleration of B?

A block of mass m=4 kg is placed over a rough inclined plane as shown in figure, The cocfficient of friction between the block and plane is s=0.6.A force F=10 N is applied on the block of an angle at 30° The contact force between the block and the plane is

Maths-

If the unit vectors $a with not stretchy bar on top$ and $b with not stretchy bar on top$ are inclined at an angle $2 theta$ such that $vertical line a with not stretchy bar on top minus b with not stretchy bar on top vertical line less than 1$ , then $theta$ lies in the interval

For an interval, square bracket denotes close bracket and parantheses means open bracket. Close bracket means that point is included in the interval. Opem bracket means the point is not included in the interval.

If the unit vectors $a with not stretchy bar on top$ and $b with not stretchy bar on top$ are inclined at an angle $2 theta$ such that $vertical line a with not stretchy bar on top minus b with not stretchy bar on top vertical line less than 1$ , then $theta$ lies in the interval

Maths-General

A planet moving along an elliptical orbit is closest to the sun at a distance r_¹ and farthest away at a distance of r₂. If v₁ and v₂ are the liner velocities at these points respectively, then the ratio $v subscript 1 over v subscript 2$ is