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You joined a “dogsled” race during your winter break. To start, you 

pulled the sled (total mass of 85 kg) with a force of 195N at 45° above 

the horizontal. Find the work done on the sled after it moves at a 

distance of 7m. 


 A constant force 𝑮⃗ ⃗

= (𝟓. 𝟏𝟏𝒋̂ + 𝟔. 𝟏𝟏 𝒌 ̂)𝑵 is applied to a particle that

undergoes a displacement 𝓵⃗ ⃗ ⃗

= (𝟒. 𝟏𝟏𝒋̂  − 𝟕. 𝟏𝟏 𝒌 ̂)𝒏. (a) the work done by 

the force, and (b) the component of the force in the direction of the 

displacement.


F1= 4 N 45O North of east F2= 8 N 30o North of west F3= 3 N. 20o South of West F4= 6.5 N North

F5= 2.5 N. East FR=


1. You are bored so you decide to execute a simple physics experiment. A friend drops an object from above a 1.5m-tall window in your house. Through video analysis, you find that the object travels from the top of the window to the bottom of the window in 0.14 seconds. How high above the top of the window was the object dropped?
3. Two forces of 40.0 N and 30.0 N act on a particle. a) Find the maximum and minimum magnitudes of the resultant of these two forces. b) What is the magnitude of the resultant if the angle between them is 45ᵒ?
2. To go to a nearby convenience store from her dormitory, a student walks 12.0 m, north and 5.0 m, east. What is the student’s displacement from her dormitory? (NB. Displacement is a vector quantity hence you need to determine its specific direction)
1. Modern aircraft have entertainment systems in front of each seat that sometimes show air velocity and tailwind or headwind. Air velocity is the speed of the aircraft through air. Tailwind is the wind velocity in the direction of travel of the aircraft, while headwind is the wind velocity opposite the direction of the travel. Ground velocity is the vector sum of air velocity and tailwind or headwind. Suppose that air velocity is 950 km/h, east and wind is blowing at 20 km/h. a) What is the ground velocity if it is a tailwind? b) What is the ground velocity if it is a headwind?

A steel circular rod with a radius of 15 cm is placed between two vertical supports

at 15 degrees Celsius. What compressive force is exerted by the vertical supports

if the temperature increases to 60 degrees Celsius? (The coefficient of linear

expansion for steel is 12 x 10-6°C-1 and the elastic modulus of steel is 200 x 10-9 N/m2).


Swinging a Water Bucket Overhead

General Instructions:Take a sturdy water bucket (can be replace by plastic cup or anything that you have in your house) ½ full of water and swing it in a circle over your head. Try the following situations:

-you swing it quickly

-you swing it slowly

-you swing and stop it when it is directly overhead

1.What happened when you swing it quickly?

1.1Explain your observations using the concepts and math equations of UCM.


What is derivation in physics and in maths?

Please give examples and the difference between calculating the slope and the derivative function.

Give an understandable explanation about the idea of derivation and how - where - when we use it.

If you can provide the answer with graphs that will be spectacular.


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