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The period of a mass-on-spring oscillator is 3 seconds. Upon decreasing its mass by 500 g, the period will become 2 seconds.

a) Calculate the original mass!

b) Calculate the spring constant!


For a 20degree jaw opening of the tongs for gripping a tube as

shown, determine the minimum required coefficient of

static friction at the contacting surfaces for static stability.


he energy input to an engine is 3.00 times greater than

the work it performs. What is its thermal efficiency?


15. A body projected upward from the level ground at certain angle, if the total time taken is 6.3sec with an initial velocity of 40m/s. Find (i) (ii) (iii) (iv) The angle of projection How far from the starting point will it strike the ground How height will it go  Max. Range  


A heavy block is suspended from a vertical spring.

The elastic potential energy is stored in the spring is 4 J.

What is the spring constant if the elongation of the spring is 10 cm?



3.7. Show that: If a particle is subject to a central force only, then its angular momentum is conserved i.e. If V(rV(r), then dL/dt = 0.


When floating into water you take a deep breath will you float when more or less of your body is out of water explain


The truck is 10 km away from the dog and the width of the road is 15 km .

Will the truck hit or miss the dog ? Use calculations to support


  1. An object of mass 3kg moving with an initial velocity of 5i m/s² collides with and sticks to an object of mass 2kg with an initial velocity of -3j m/s². What is the velocity of the composite object
  2. A 30kg hammer strikes a steel spike of 2.3cm in diameter while moving with a speed of 20m/s². The hammer rebounds with a speed of 10m/s² after 0.11s. What is the average strain in the spike during this impact.

Five thick dictionaries each 10cm thick and each weighting 25N,are resting side by side flat on a table 1m high.how much work would be done against gravity to stack one on top of the other.


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