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An aeroplane takes off at an angle of 60 degree to the horizontal if the components of the velocity along the horizontal is 200 m/s what is the actual velocity? Also find the vertical components of its velocity



A wheel initially at 5 cycles per second decelerates and stops after completed 60 turns. What is the angular speed the wheel after completing 45 turns ?


A gold doubloon 6.1 cm in diameter and 2.0mm thick is dropped over the side of a pirate ship. When it comes to rest on the ocean floor at a depth of 770 m, How much has its Volume changed

1. A jeep is traveling at 40 m/s when the breaks are applied. It comes to a stop after 20 seconds. Find the following: (a) acceleration of the jeep (b) distance traveled after the breaks are applied.


2.A car starting from rest moves with constant acceleration. After 10 seconds the velocity is now 30 m/s. What is its acceleration?


3. A car accelerates from rest at a constant rate of 3.5 m/s^2. What is the speed of the car 12 seconds later?


4. A bike traveling at 32.5 m/s skids to a stop in 3 seconds. Determine the skidding distance of the bike.


5. A car is traveling at a constant speed of 25 m/s. It begins to accelerate at a rate of 2.7 m/s^2 for 7.1 seconds. (a) How far does it travel during this time? (b) What is the final speed of the car 7.1 seconds later?


6. You are riding your bike downtown at a speed of 15 m/s and you see a red light ahead. You gently brake over a distance of 50 m and come to a complete stop. What is your acceleration during this time?



A spring (k = 3.5N/m) is attached to a superman doll of mass = 13.0 kg. If the action figure is hung from the ceiling by this spring, how much would the spring be stretched?


A copper rod of length 𝟒. 𝟓 𝒎 and cross-sectional area 𝟐. 𝟑𝟎 𝒄𝒎𝟐 is stretched by a heavy load of 𝟓𝟓𝟎 𝒌𝒈 attached to the rod’s lower end. What is the tensile stress in the rod and the final length after the elongation of the rod under the stress? Young’s modulus for copper is 𝒀 = 𝟏. 𝟐 𝒙 𝟏𝟎𝟏𝟏 𝑵𝒎−𝟐 .


The elastic limit of copper is 𝟏. 𝟓 × 𝟏𝟎𝟖 𝑵𝒎−𝟐 . If a copper wire is stretched by a load of mass 𝟖. 𝟓 𝒌𝒈 then find the minimum diameter of the wire within the elastic limit. 


What force is required to stretch a steel wire of cross-sectional area 𝟑 𝒄𝒎𝟐 to double it’s length? The Young’s modulus for steel is 𝒀 = 𝟐 × 𝟏𝟎𝟏𝟏 𝑵𝒎−𝟐 .


A wire of length 𝟑𝟓𝟎 𝒄𝒎 and radius 𝟏. 𝟓 𝒎𝒎 is stretched by load of 𝟏𝟎 𝒌𝒈 and increased by 𝟐. 𝟓% of the original length. Find the stress, strain and Young’s modulus of the material of the wire


A light of wavelenght 400 nm passes from air to water. a. what is the frequency of light in water? b. What is the speed of light in water if its index of refraction is 1.33 ? c. What is the wavelength of light in water?

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