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Assuming that a 200 g body has a zero potential energy at ground level, what is its maximum potential energy when it is thrown vertically upward with a speed of

30 m/sec?


A solid disk of mass 5.0kg and a raduis of 0.50 m about a central axis?

(i)A steel cable, in a crane, is used to lift a mass 55000 kg, if the

        maximum upward acceleration of the load is 1.5 m/s2 , calculate the

        minimum radius required in millimeters of the cable.

        Assume a safety factor of 7.0


(ii)A steel cable is under tension from a load it is supporting, what

         Condition must be fulfilled for it to break? [

         (iii) Why are steel rebars used in concrete structures?

 

  (iv)List three different types of stresses that can a cause material to break.




A planet with a mass of 5.86x1024kg and a radius of 6.87x106m orbits its sun, a distance of 144.87x109m away, in a uniform circular motion with velocity 3.37x104m/s. Assuming the planet is a uniform solid sphere spinning on its axis and has the same length of day as Earth, what is the spin angular momentum of this planet (in kg⋅m2/s)?


The fan of a CPU starts decelerating at a constant rate from an angular speed of 897 rpm. The fan has undergone 1856 revolutions before it comes to rest. How long (in s) did it take the CPU fan to stop rotating?


The wheel of a bicycle is rotating from rest at a constant rate of 1.86 rad/s^2. How much is the increase in angular velocity (in rpm) every minute?


a child is bouncing on a trampoline, and they move upward with a speed pf 3.50m/s. what is the height they will reach?



15. A group of construction workers push against a large crate, trying to get it to move, but failing. Another coworker pushes a much smaller box and boasts he did more work. Is this true?


A. No, because he exerted less force.

B. No, because he moved an object with a smaller mass.

C. Yes, because he did the work alone.

D. Yes, because the small box moved, while the big box did not.


A mass of 10 kg, which may be a point-like object, is attached to a rope of length 1.5 m and is being rotated. What is the moment of inertia(in kg. meter squared) of the object?


Lesson: Torque




Instruction: Analyze and solve the following problems step-by-step.




1. Find the total torque acting on a body when three forces are applied on the following: F1=10 N upward at 1 m,F2=20n upward at 2 m and F3=5N downward at 0.5 m.

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