Mechanics | Relativity Answers

The displacement of a particle S is given by S=A+Bt+Ct^2. Deduce the units of the constants A, B and C.

the percentage uncertainity in mass and spring constant in time periodof spring mass respectively are 2% and 6 % .the percent uncertainity in its time period will be
(a) 3%
(b) 4%
(c) 8%
(d) none

the time for 10 vibration of simple pendulum recorded by stop watch is 17.5 s +- 0.1 s .The uncertainity in final result is
(a) o.1s
(b)o.oo6s
(c) 0.01s
(d)0.02s

A square lamina is as shown in figure. The moment of inertia of the frame about the three axes as shown in figure are I 1, I 2 and I 3 respectively. Select the correct alternative.

A small block of mass m is released from the top of a smooth hemisphere of radius R with the horizontal speed u. What is the angle with vertical where it loses contact with the hemisphere?

You are supplied with three identical rods of same length and mass.If the length of each rod is 2π. Two of them are converted into rings and then placed over the third rod as shown in figure. If point A is considered as origin of the coordinate system the coordinate of the centre of mass will be ( you may assume AB as x axis of the coordinate system)

Give an example of data and solution for estimating errors from multiple measurements of a physical quantity using variance.

____________
100N---|___scale___|----100N

If both side pull.then , what does scale Read

A spaceship is shaped like a giant bicycle wheel. The wheel has a diameter of 1.2km. The spaceship can simulate gravity by spinning.
A. How fast does the wheel need to spin so that the artificial gravity felt by the station inhabitants is the same in earth?
B. The space station mass is 8.35 x 10^7 kg is orbiting plant x with Mass of 2.3 x 10^22 kg at the distance r=113.2 x 10^6m. What is the force of gravity between the planter and the space station?
C. The space station has a satellite that orbits Planet X at an orbital radius of 250 000km. How fast is the satellite moving?
D. In the same solar system a back hole mass: 1.3 x 10^32. The space station has a satellite that orbits the black hole at a radius of 151km. How fast is the satellite moving?

The hulk kicks a soccer ball with an initial velocity of 84m/s (30 degrees above horizontal)

a. What is the balls horizontal velocity?

B. What is the balls flight time?

C. What’s the balls maximum height?

D. How far forward does the ball hit the ground?

e. What’s the balls velocity when it hits the ground?