1781

Physics Vectors Level: High School

Use the vectors which is shown at “click here” to answer the following questions . 1) Which vectors have the same magnitude ? 2) Which vectors have the same direction ? 3) Which arrows ,if any , represents the same vector ?



1749

Physics Vectors Level: High School

Given two vectors A , which has a length of 10.0 and makes an angle of 45 degrees C below the –x axis , and B, which has an x-component of +2.0 and y-component of +4.0 ,

a) Sketch the vectors on x-y axes , with all their “tails “ starting at the origin

b) Calculate A+B




1747

Physics Vectors Level: High School

The resultant of four displacement is 1200 m in the direction of 30.0 degrees west of north . Three of the displacement are 400 m at 60.0 degrees North of east ; 200 m south ; and 400 m at 53.0 degrees west of south . Find the magnitude and direction of the fourth displacement .



1631

Physics Vectors Level: High School

Dimensions

If x = a + bt + ct^2 , where x is in meters and t is in seconds , the unit of c is :

a) 1/s^2

b) m

c) m/s^2

d) m/s




1615

Physics Vectors Level: High School

A person moves 30 m North , then 20 m East , and then 45 degree south of west . His displacement from the original position is :

a) 10 m west

b) 15 m east

c) 28 m south

d) 14 m south-west




1447

Physics Vectors Level: High School

You drag a 20 kg steamer trunk over a rough surface by a constant force of 195 N acting at an angle of 34.9 degrees above the horizontal . You move a trunk over a distance of 32.9 m in a straight line, and the coefficient of kinetic friction is 0.248 . The acceleration of gravity is 9.8 m/s2 . How much is the work done on the block by the net force ? Answer in units of J .



1446

Physics Vectors Level: High School

There are two vectors A and B . Vector A has components A x = -6, Ay = 7.8; Az = 2.5 ; While vector B has components01 B x = 7.8 ; By = -4.5; Bz = 7.3 . Find the angle theta AB between these vectors ? (Answer between 0 degrees and 180 degrees ) . Answer in units of degrees .



1098

Physics Vectors Level: High School

Which of these quantities must be a scalar ?

a. kinetic energy .

b. force .

c. velocity .

d. linear momentum .

e. acceleration .

Kinetic energy



1047

Physics Vectors Level: High School

All of the following are vectors , except .

Displacement .

Density .

Force .

Velocity .

Density



399

Physics Vectors Level: High School

Sum of Three Vectors

The figure at “click here” shows three vectors of length A = 68.5, B = 40.4 and C = 44.4 . The angles are theta a = 27.9 degree and theta b = 55 degree , and C points along the negative y-axis .

(a) Determine the length of the vector A-B +C

(b) Calculate the angle of this vector




398

Physics Vectors Level: High School

Vector Magnitude

The corners of an equivalent triangle lie on a circle of radius 2.84 m . Calculate the length of a side of the triangle .



397

Physics Vectors Level: High School

Vector - Magnitude

The figure which shown at “click here” shows three vectors of lengths A = 63.9, B = 38.4, and C = 44.6. The angles are theta a = 28.0 degree and theta b = 54.98 degree , and C points along the negative y-axis

(a) Determine the length of the vector A – C.

(b) Calculate the angle of this vector.




396

Physics Vectors Level: High School

Vector - Magnitude

A lighthouse that rises h1 = 50.6 ft above the surface of the water sits on a rocky cliff that extends d = 20.1 ft from its base, as shown in the figure at "click here". A sailor on the deck of a ship sights the top of the lighthouse at an angle of theta = 31.5 degree above the horizontal. If the sailors eye level is h2 = 14.0 ft above the water, how far is the ship from the rocks ?



395

Physics Vectors Level: High School

Vector Magnitude

A basketball player runs down the court, following the path indicated by the vectors A,B and C in the figure which is shown at “click here”. The magnitude of these three vectors are A = 11.1 m, B = 22.8 m, C = 6.95 m. And as shown, theta 1 = 45.8 degree and theta 2 = 27.7 degree .

(a) Calculate the magnitude of the net displacement of this player.

(b) What is the direction of the displacement of this player ? Give the angle counterclockwise relative to the right .




394

Physics Vectors Level: High School

Vector - Magnitude

(a) If Vx = 19.40 units and Vy = -15.80 units , determine the magnitude of V.

(b) Determine the angle of V with respect to the x-axis .


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