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Two cars A and B travelling in the same direction and stopped at a highway traffic sign. As the
signal turns green car A accelerates at a constant rate of 1m/s2. Two seconds later the second
car B accelerates at constant rate of 1.3m/s2. When will the second car B overtakes the first
car A.
A particle A of mass m moves on a smooth horizontal table and is connected by a light
inextensible string passing through a smooth hole O in the table to a particle B of the
same mas; m, which moves along the vertical through O. Initially B is at rest and a is the
distance from A to O, moving with velocity "sqrt{ga\/3}" perpendicular to O A.
What is the kinetic energy of the system?
A figure skater is spinning at an angular velocity of 8.0 rad/s. Assume that her moment of inertia is 80 kg/m2.
a. What is the angular momentum of the figure skater?
b. How much torque is required to slow her down to a stop in 5.0 seconds?
A particle moves along x-axis according to expression x=3t²-2t where x is in metre and t in seconds.
a) What is the displacement of the particles in the time interval
t=0 to t=1
t=1 to t=4
b) Calculate the average velocity for the time intervals in (a)
c) Find the instantenous velocity for a particle at 3 seconds
The maximum energy of a vibrating mass is 3.00 x 10-²2 joules. The amplitude
of oscillation is 2.50 mm with a frequency of 200 Hz.
A. What is the mass of the object? B. What is the maximum acceleration of the object?
C. If the mass affects the vibration frequency (like that of a mass and spring
system), what should the mass be to double the maximum energy? Assume that the oscillation amplitude is not affected.
Two locomotives are 150 meters apart each having a mass of 4.0x10^5 kg. Find the gravitational force that exist between them.
- two ships , 35 m apart are docked next to each other, one ship weighs 1.9 x 10^8 N while the other weighs 9.7 x 10^7 N. what gravitational force exist between them?
3.1 An aluminium tin is filled to the brim with a liquid. The tin’s initial volume at 5.00 °C is 3.5 10−4 m3. The coefficient of volume expansion for aluminium is 69.0 10−6 (C°)−1. When the tin and the liquid are heated to 78.0 °C, 3.6 10−6 m3 of liquid spills over. Calculate the coefficient of volume expansion of the liquid. [HINT: The tin and the liquid are heated so their temperatures change by the same amount.]
Compute the mass of the earth, assuming it to be a sphere of radius 6.37 x 10^6 m.
Calculate the force of gravity of the husband and wife, the husband has a mass of 85kg and the wife has a mass of 60kg. They are 0.75m apart.
