Mechanics | Relativity Answers

18. A turn of radius 20 m is banked for the vehicles going
at a speed of 36 km/h. If the coefficient of static friction
between the road and the tyre is 0.4, what are the
possible speeds of a vehicle so that it neither slips down
nor skids up ?

A student measures the distance traversed in free fall of a body , initially at rest in a given time. He uses this data to estimate g , the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively , the percentage error in the estimation of g is
(1) e2-e1
(2) e1+2e2
(3) e1+e2
(4) e1-2e2

In a capillary tube of radius ‘R’, a straight thin metal wire of radius ‘r’ (R > r) is inserted
symmetrically and one end of the combination is dipped vertically in water such that the
lower end of the combination is at same level. The rise of water in the capillary tube is
[T = surface tension of water, ρ = density of water, g = gravitational acceleration]

A particle moves along a circle of radius ‘r’ with constant tangential acceleration. If the
velocity of the particle is ‘ν’ at the end of second revolution, after the revolution has started
then the tangential acceleration is

A ball dropped from a certain height, falls in the influence of uniform gravity, strikes the ground and repeatedly rebounds elastically. During a time interval t = 8s from it was dropped, it covers a distance s = 20m. How many collisions n during this time did the ball made with the ground? Acceleration of free fall is g = 10 m/s2
ANSWER IS 8 COLLISIONS
CAN U PLEASE EXPLAIN IN DETAIL

a 6kg trolley moving at 2m/s hits a stationary 4kg trolley. they stick together. What is their common velocity after the collision?

Read the given time versus displacement data carefully and answer the following questions.
Time(s) 0 2 4 6 8 10
Displacement (m) 0 8 16 8 10
a) sketch the displacement-time graph for this motion.
b)Sketch a distance-time graph for the same motion.
c) for which time intervals the body possess
i) Uniform retardation.
ii)Constant velocity.
d) What will be the displacement of the body at time= 3 sec
and time= 7 sec.

Velocity(m/s)- 20, 20, 10, 20, 0
Time(s) - 0, 5, 7, 10, 15

The above table shows the velocity of the motorbike by at various intervals of time.
Plot a velocity-time graph.
Calculate,
a)Deceleration between 5sec and 7sec.
b)Acceleration between 7sec and 10sec
c)Deceleration between 10sec and 15sec.
d)Total distance travelled by motorbike in 15sec.
e)Average velocity of the motorbike.

a sailor pushes a 100 kg crate up a ramp that is 5 m long onto the deck of a ship. he exerts a 650 N force parallel to th ramp. what is the mechanical advantage ofthe ramp? what is the efficiency of the ramp?

A clown in circus juggles with n balls using only one hand. He throws each ball vertically upwards with the same speed at equal time intervals. Denote acceleration of free fall by g.

(a) Find expressions for the speed of projection and height of the i th ball above his hand when he throws the n th ball.
Let he uses n = 4 balls and when he throws the fourth ball, the distance between the second and third ball is d = 50 cm.
(b) Where is the first ball, when the juggler throws the fourth ball?
(c) What is maximum height attained by each ball above the hands of the juggler?