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Interactive Exercises 3.04: Vector Addition Using Components The simulation (linked below) shows two displacement vectors, labeled...
Interactive Exercises 3.04: Vector Addition Using Components The simulation (linked below) shows two displacement vectors, labeled a and b(See the blue and red, open tipped arrows, respectively.) The simulation also shows an xy coordinate system, and a series of grid lines, where the spacing between adjacent lines is 2 km. Question 1 What are the components ax and ay of the first displacement? ax km dy km By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER Question 2 What are the components b, and b, of the second displacement? km km By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Attempts: o of S used SAVE POR LATER SUBMIT ANSWER SUBMIT ANSWER
Question 3 What are the components rs and y of the sum of the two displacements? 左= km km By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Attempts: o of S used SAVE FOR LATER SUBMIT ANSWER SUBMIT ANSWER ▼ Question 4 With your mouse or finger move the head of the second displacement b such that the sum a b has an x component of 2 km and a y component of -4 km. (Leave the first displacement a unchanged.) What are the components b, and by now? km km By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Attempts: o of 5 used SAVEOR LATER SUBMIT ANSWER SUBMIT ANSWER
ケ=ay + by Grid Spacing: 2 km Adding Vectors by Components This graphic shows two displacement vectors, labeled a and b. (See the blue and red, open-tipped arrows, respectively.) The graphic also shows an xy coordinate system, and a series of grid lines, where the spacing between adjacent lines is 2 km. When the option "Show Vector Sum" is selected, a third vector, which is the sum of the first two displacements, is also shown
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As grid spacing = 2 k m so a_x = 4^k m, a_y = 4^k m similarly b_x = -2 times 3 = -6 k m, b_y = -2 k m [negative sign indicates that b x, b y are opposite to x and y -axis] Now v_x = a_x + b_x = 4 - 6 = -2 km v_y = a_y + b y = 4 - 2 = 2 k m black arrow gives new position a + b = 2 i - 4 i 4 i + 4 j + b x + b y = 2 i + 4 j b x + b y = -2 i - 8 j so b x = -2 k m b y = -8 km
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