Please anser both pats to both questions. They are part of one really large home
ID: 1530178 • Letter: P
Question
Please anser both pats to both questions. They are part of one really large homeowkr assignment. Please use units and provide any equations that you use. Thanks!
1.
A) If Vx = 17.80 units and Vy = -16.80 units, determine the magnitude of V.
B) Determine the angle of V with respect to the x-axis.
2.
A) The components of a 2-dimensional vector V are often written (Vx, Vy). What is the x component of a vector which is the sum of the two vectors, V1 and V2, whose components are (2.60, 2.22) and (2.13, -1.35)?
B) Calculate the length of the sum of the two vectors in the previous problem. Look at the hint for this problem!
Explanation / Answer
1)
A)
|V| = sqrt(Vx^2 + Vy^2)
= sqrt(17.8^2+ 16.8^2)
= 24.48 units
B) direction : theta = tan^-1(Vy/Vx)
= tan^-1(-16.8/17.8)
= 43.3 degrees below +x axis or 316.7 degrees with +x axis in counter clockwise direction.
2)
A) Vx = V1x + V2x
= 2.60 + 2.13
= 4.73 units
B) Vy = V1y + V2y
= 2.22 - 1.35
= 0.87 units
|V| = sqrt(Vx^2 + Vy^2)
= sqrt(4.73^2 + 0.87^2)
= 4.81
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