Motion In A Plane
A man travelling at 10.8kmph in topless car on a rainy day. He holds an umbrella at angle of 37∘ with the vertical so that he does not wet. If rain drops falls vertically downwards what is rain velocity.
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:
(i) Adding any two scalars (ii) Adding a scalar to a vector of the same dimensions
(iii) Multiplying any vector by any scalar (iv) Multiplying any two scalars
(v) Adding any two vectors
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 ?
(b) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.
(c) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector.
Three girls skating on a circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in Fig. What is the magnitude of the displacement vector for each ? For which girl is this equal to the actual length of path skate ?
Two cliffs of heights 120m and 100.4m are separated bya horizontal distance of 16m if a car has to reach from the first cliff to the second the horizontal velocity of car should be
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :
(a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions ,(c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.
Pick out the only vector quantity in the following list:
Temperature, pressure, impulse, time, power , total path length, energy, gravitational temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction, charge.
(b) can never take negative values
(c) must be dimensionless.
(d) does not vary from one point to another in space.(e) has the same value for observers with different orientations of axes.