Home
Class 11
PHYSICS
A biard is at a point P(4m,-1m,5m) and s...

A biard is at a point `P(4m,-1m,5m)` and sees two points `P_(1) (-1m,-1m,0m)` and `P_(2)(3m, -1m,-3m)`. At time `t=0`, it starts flying in a plane of the three positions, with a constant speed of `2m//s` in a direction perpendicular to the straight line `P_(1)P_(2)` till it sees `P_(1)` & `P_(2)` collinear at time t. Find the time t.

Text Solution

Verified by Experts

The correct Answer is:
`3.5 s`
Vector `vec(PP)_(1)=-5hat(i)-5hat(k)` and `vec(P_(1)P_(2))=4hat(i)-3hat(k)`

Let angle between these vectors be `theta` then
`cos theta=((-5hat(i)-5hat(k)).(4hat(i)-3hat(k)))/((5sqrt(2))(5))=-1/(5sqrt(2))`
as `PM=PP_(1) sin theta`
so `PM=(5sqrt(2))(7/(5sqrt(2)))=7m`
Therefore `t=(7m)/(2m//s)=3.5 s`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise EXERCISE-5(A)|15 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exersice -05(B)|20 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-04 [A]|28 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

As charge q=1muC is placed at point (1m,2m,4m) . Find the electric field at point P(0,-4m,3m)

Graph the line passing through the point P and having slope m. P=(1,2),m=2

Graph the line passing through the point P and having slope m. P=(-1,3),m=0

Two particles P and Q start from a point on a circle at time t=0 . They travel in opposite directions along a circular path of radius 10 m at constant speeds of V_(p ) =2.14 m//s and V_(Q ) = 1m//s . After what -time they will collide ?

A bomb at rest explodes into two parts of masses m_(1) and m_(2) . If the momentums of the two parts be P_(1) and P_(2) , then their kinetic energies will be in the ratio of:

At time t=0 , a particle is at (-1m, 2m) and at t=2s it is at (-4m,6m) . From this we can conclude that in the given time interval.

0.1 M NaCl and 0.1 M CH_(3)COOH are kept in separate containers. If their osmotic pressures are P_(1) and P_(2) respectively then what is the correct statement ?

A charge q = (-2 xx 10^(+)) is placed at (1 m, 2m, 3m). There is a point P = l^(2) - 3m, 4 m) Component of electric field along x-axis at point would be

Two particles A and B are revolving with constant angular velocity on two concentric circles of radius 1m and 2m respectively as shown in figure. The positions of the particles at t = 0 are shown in figure. The positions of the particles at t=0 are shown in figure. if m_(A)=2kg, m_(B)= 1kg and vec(P)_(A) and vec(P)_(B) are linear momentum of the particle then what is the maximum value of |vec(P)_(A)+vec(P)_(B)| in kg-m/sec in subsequent motion of two particles.

A charge q = (-2 xx 10^(+)) is placed at (1 m, 2m, 3m). There is a point P = l^(2) - 3m, 4 m) A unit vector in the direction of electric field at P due to charge q will be