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A projectile is shot from the edge of the cliff 205.0 m above sea level with an initial speed of 76.8 m/s at an angle of 42.20 with the horizontal. (a) How long will it take the projectile to hit the water. (b)What is the range of the projectile with the base of the cliff. At a certain point P 24.0 m above sea level determine (c) the horizontal and vertical components of its velocity, (d) the magnitude of the velocity (e) the the angle made by the velocity vector with the horizontal (f) the maximum height above the cliff top reached by the projectile.




The siren on an emergency vehicle has a frequency of



840 Hz. The emergency vehicle passes you at a speed of



28 m/s .The frequency of the receding siren detected by you is?

Determine the gradient of a function φ = x^4 +y^2 +z^3 at the point (1,-2,-1)


The radii of Na+ and Cl ions are 0.98 and 1.81 Å respectively. The Young's modulus of NaCl




[100] direction is 5 * 10 ^ 10 * N * m ^ - 2 . Assuming that the extension in [100] direction produces




negligible contraction in the perpendicular directions, calculate the wavelength at which the




electromagnetic radiation is strongly reflected by NaCl crystal. Atomic masses of Na and Cl




are 23 and 35.5 amu respectively.




[6 marks]


Using the equation for acceleration due to gravity (g), compute the

approximate value of acceleration due to gravity with the given values: mass of Earth = 6.0 x 10^24

kg and radius of Earth = 6.37 x 10^6 m. Show your Solution. Compare the value you had with the

acceleration due to gravity we use which is 9.8 m/s^2

Guide Questions: 

1. What factors control the gravitational forces that the objects exert on each other? 

2. How can the Sun’s gravitational pull account for the orbital motion of planets?


Determine the frequency , wavelength, speed and period in the equation y=2.5π cos(110t+ x/0.025)

If a peice of loaf is placed on a plate and a dog take it away than why would plate start rotating?

as a building consultant, how will you advise using your knowledge in physics, such that the bedroom of an apartment will be much cooler and conducive to sleep in


2. A 0.15kg meterstick is supported at the 50cm mark. A mass of 0.5kg is attached at the 80cm mark.



a. How much mass should be attached to the 40cm mark to keep the meterstick horizontal?



b. Determine the supporting force from the fulcrum on the meterstick.


Activity 8.5. Solve the following comprehensively. Box your final answers.


1. A 1.20kg disk with a radius of 10.0 cm rolls without slipping. The linear speed of the disk is 1.41m/s.


a. Find the translational KE.

b. Find the rotational KE.

c. Find the total kinetic energy.


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