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If the speed of the roller coaster at point A is 25ft/s. What is the speed at point B? Using the law of conversion of energy to solve this problem.

show that unit vector normal to the surface n= ∇φ ÷ | ∇φ | . find n for the ellipsoid.


φ = a(x^2) + b(y^2) +c(z^2)

A can is dropped from rest at a height of 40.0 m above ground. How much time does it spend in the bottom half of its fall?


  1. 0.873 s
  2. 0.783 s
  3. 0.837 s
  4. 0.738 s

A hydraulic circular rod having a 100mm diameter and 2m long is


pulled by a force of 200 N.


It moves with a constant velocity within a


circular hollow tube of 101mm internal diameter.


The clearance of


0.5mm between the rod and the tube is filled with oil of specific gravity


0.8 and kinematic viscosity 400 mm^2/s as shown in the figure below.


Determine the velocity of the rod in units of m/s.

Imagine that you attach a heavy object to one end of a spring and then, while holding the spring’s other end, whirl the spring and object in a horizontal circle. Does the spring stretch? Why? Discuss your answer in terms of the force that maintains circular motion.


  1. When a wheel is rotated through an angle of 35°, a point on the circumference travels through an arc length of 2.5 m. When the wheel is rotated through angles of 35 rad and 35 rev, the same point travels through arc lengths of 143 m and 9.0 × 102 m, respectively. What is the radius of the wheel?(See Sample Problem 7A.)

What is Interference of light? What are coherent source? Give the condition for well-defined and Sustened interference.


A simple pendulum is found to vibrate 50 times within 200seconds. When 1.5m of its length is reduced to a certain length, it vibrates 50 times in 175s. Find the original length of the pendulum.



Assuming that 80% of the Mars surface is covered with water at an average




depth of 3.5 miles and the radius of the earth is given by 5.97x106 meter,




estimate the mass of the water on the Mars in kilogram

Assuming that 80% of the Mars surface is covered with water at an average


depth of 3.5 miles and the radius of the earth is given by 5.97x106 meter,


estimate the mass of the water on the Mars in kilogram.

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