Mechanics | Relativity Answers

A train approaching a station does two successive half-kilometers in 16 and 20 seconds respectively. Assuming the retardation to be uniform, find the further distance the train runs before stopping.

Two equal mass object experience a totally inelastic elastic collision. Mass 1 has an initial velocity of 10 m/s in the negative y-direction. Mass 2 has an initial velocity of 10 m/s in the positive x-direction. The collision occurs at the origin. What is the magnitude and direction of the velocity of the combined mass? What is the kinetic energy conserved in the collision? If not what fraction of kinetic energy was lost?

The resistance of two forces which are of 130N and 90N is 150N. Calculate the angle between the two forces

Q1. A dam has its water face as a quarter circle arc of radius of 4m submerged under water surface so that the total dam depth is 9 m. The width (span) of the dam is 150 m.

Calculating:
(i) Horizontal force component acting on the dam.

A 3000-Kg is hoisted 2 m above the ground. Calculate its potential energy

A block of weight 7 newton rests on a level floor. the frictional force between the block and the floor is 1 newton. a horizontal force of 1.4 newton is used to pull the block for 4 seconds. what is the velocity of the block after this time?

A uniform ladder leans against a smooth verticle wall. If the floor is also smooth, and theinitial angle between the floor and the ladder is(theta)naught, show that the ladder, in sliding down, will lose contact with the wall when the angle between the floor and the ladder is sin^-1(2/3 sin((theta)naught).

8.___ in analytic geometry of vector are the cosines of angles between the vector and the three coordinate axes
a.Direction sines
b.Direction Cosines
c.Direction tangents
d.All the options

9.if a=a1i+a2j+a3k and b=b1i+b2j+b3k
find a.b
a.a1b1−a2b2−a3b3
b.a1b1+a2b2−a3b3
c.a1b1−a2b2+a3b3
d.a1b1+a2b2+a3b3

6.____ is the component contributions of the basis to the unit vector
a.Direction sines
b.Direction Cosines
c.Direction tangents
d.All the options

7.Find l,m,n of the vector r=2i+4jâˆ′3k
a.2√29,4√29,−4√29
b.−2√29,4√29,−4√29
c.2√29,4√29,3√29
d.2√29,4√29,−3√29

2. ___ is a vector as a way of determining the magnitude and direction in its coordinate of x and y axis
a.Component of a vector in terms of identity vector
b.Component of a vector in terms of unit vector
c.Component of a vector in terms of free vector
dComponent of a vector in terms of block vector

3. If a=10, b=13 and the angle between a and b is 59.5 degree, what is the scalar product of a and b
a.65.98
b.65.9
c.65.95
d.65.93