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a boomerang is thrown with the following displacements: 4.5-m to the east, 7.5-m 30° north of west, and 3.0-m 10° south of west. what is the resulatant displacement?
the resultant of vectors A and B is 12-N perpendicular to vector A. if vector A also has 12-N magnitude, solve for magnitude and direction of vector B. [Analytical method)
three forces pull on object: f₁ = 50-N towards the +x; F₂ = 50-N toward the +y and F₃ = 70-N, 30° below -x. what force will balance the three? [Analythical method]
The resistance R of a platinum wire at temperature t°C, measured on the gas
scale is given by
R. R. (1 + aT +bT)
Where a = 3.8 x 10-³°C!
b = -5.6 x 10^7C.
What temperature will the platinum thermometer indicate when the
temperature on the gas scale is 200°C?

a boomerang is thrown with the following displacements: 4.5-m to the east, 7.5-m 30° north of west, and 3.0-m 10° south of west. what is the resultant displacement?


If a white ball was launched from a cannon that’s 100m above the floor at a 30 degree angle above the horizontal, how far will it travel before it reaches its apex ?
If a load of mass is raised up to a height of 15m. What is the work done on the process? (g= 10m/s2)
John is riding a bicycle and comes across a hill of height 7.30 m. At the base of the hill,
he is traveling at 6.00 m/s. When he reaches the top of the hill, he is traveling at 1.00 m/s.
Jonathan and his bicycle together have a mass of 85.0 kg. Ignore friction in the bicycle
mechanism and between the bicycle tires and the road.
i) What is the total external work done on the system of Jonathan and the bicycle between
the time he starts up the hill and the time he reaches the top?
ii) What is the change in potential energy stored in Jonathan’s body during this process?
Two batteries P and Q each of Emf 8 V and 3 V have internal resistance of 2 Ω and 4 Ω respectively.
Calculate the values of the current through the circuit
John is riding a bicycle and comes across a hill of height 7.30 m. At the base of the hill, he is traveling at 6.00 m/s. When he reaches the top of the hill, he is traveling at 1.00 m/s. Jonathan and his bicycle together have a mass of 85.0 kg. Ignore friction in the bicycle mechanism and between the bicycle tires and the road.
i) What is the total external work done on the system of Jonathan and the bicycle between the time he starts up the hill and the time he reaches the top?
ii) What is the change in potential energy stored in Jonathan’s body during this process?
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