Classical Mechanics Answers

3. The position of a particle moving along the x-axis is given by x = 7t^2 + 2t^3, where x is in meters and t is in seconds. Determine the following, when t = 1.4 s:

(a) The position (2) (b) The velocity (2) (c) The acceleration (2)

A university graduate standing on the ground fires a rocket into the atmosphere at a velocity of 4000 m/s at an angle of 20o to the vertical axis. Determine (g = 9.8 m/s2):

(a) The time of flight (3) (b) The maximum level

b) Find the power delivered to an element at t = 3 ms if the current entering its positive terminal is i = 5cos60πt A and the voltage is

(i) v = 3i

(ii) v = 3di/dt         

an appliance cord is consist of two wires, about 2m long with individual wire which is about 3mm apart and carry a current of 8A DC. calculate the force exerted by the wires.

protons in a uniform magnetic field 0f .3 T follow a circular trajectory with 20 com radius. determine the speed of protons. ( q = 1.6 x 10^-19 and m = 1.673 x 10^-27 K )

Assuming that a kilogram rat and a hundred kilograms elephant fell on the cliff at the same time, which of the two will reach the ground first if air resistance and surface area are neglected? Explain.

How may revolutions per minute must the body make about vertical axis so that the cord make an angle of 45 with the vertical

If a potential is given by ax^3+bx+c then what is the condition for equilibrium

A torque of 12 N m is applied to a solid, uniform puck of radius 0.50 m, causing the puck to accelerate at 5.7 rad/s2. What is the mass of the disk?

The following data were obtained in a refraction survey.

Distance(m) 0 5 10 15 20 25 30 35 40 45 50 55 60

Time(msecs) 11 22 32 37 38 41 42 41 41 42 42 43 44

(i) Plot the time-distance graph and

(ii) Calculate the depth to the refractor below the shot point.