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A roller coaster ride in a park includes a vertical drop of 60 m. Assume that the roller coaster has a speed of nearly zero when it reaches the top of the hill. Neglecting friction, find the speed of the riders at the bottom of the hill. 



Determine the energy of a swinging pendulum bob at its highest position, at the middle position, and at its lowest position which will be considered the reference level. The length of the string is 1 m and the height of its highest position is 1.5 m. The mass m of the bob is 0.20 kg.



A roller coaster ride in a park includes a vertical drop of 60 m. Assume that the roller coaster has a speed of nearly zero when it reaches the top of the hill. Neglecting friction, find the speed of the riders at the bottom of the hill. 




  1. Determine the energy of a swinging pendulum bob at its highest position, at the middle position, and at its lowest position which will be considered the reference level. The length of the string is 1 m and the height of its highest position is 1.5 m. The mass m of the bob is 0.20 kg.

A galvanometer of resistor 10 ohms gives a full scale deflection when a current of 50amphere flow through it.


How can it be converted to an ammeter to measure a current of 5Amphere?


How can it be converted to a voltmeter to measure a voltage of 3volts?

  1. A 1 kg object is located at a distance of 6.4 x106 m from the center of a larger object whose mass is 6.0 x 1024 kg. 
  2. What is the size of the force acting on the smaller object? 
  3. What is the size of the force acting on the larger object? 
  4. What is the acceleration of the smaller object when it is released? 
  5. What is the acceleration of the larger object when it is released? 

Carnot cycle. Consider a Carnot engine with a monoatomic ideal gas as an operating substance (i.e. the substance that undergoes the cyclic process to convert heat into work). One property of the ideal gas is that its internal energy is related only to its temperature, s.t. U=32nRTU=32nRT. The cyclic process is Show that you will get:

η=1− τc/τh

by getting the ratio of the total work done over the total amount of heat entering the system.



A pendulum of mass m and length b is attached to a massless support initially at rest and then moving with vertically upward acceleration a

( a) Determine the Lagrangian

( b) Find the equation of motion of the pendulum

Refer to the figure below


Gold has a face centered cubic unit cell and has the density 𝟏𝟗. 𝟑 𝒈 𝒄𝒎−𝟑 . Calculate the length along an edge. (𝐴𝑢 = 197 𝑔 𝑚𝑜𝑙 −1 )


What do you mean by the Young’s modulus for steel is 𝒀 = 𝟐. 𝟎 × 𝟏𝟎𝟏𝟏 𝑵𝒎−𝟐



? Explain



briefly.

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