Vector Worksheet 2 Answers 1. Determine the resultant of:

Slides:

Advertisements

Similar presentations

Relative Velocity.

Advertisements

Vectors (10) Modelling.

PHY PHYSICS 231 Lecture 4: Vectors Remco Zegers Walk-in hour: Thu. 11:30-13:30 Helproom.

PHY PHYSICS 231 Lecture 4: Vectors Remco Zegers

RELATIVE VELOCITY IN 2D. WARM UP A boat travels at a constant speed of 3 m/s on a river. The river’s current has a velocity of 2 m/s east. 1.If the boat.

FA3.4: 1-3: A boat points straight across a 68.0 m wide river and crosses it in 18.2 seconds. In doing this it is carried downstream 23.7 m. 1. What the.

Motion 11.2 Speed and Velocity

Vectors and Scalars.

Think about this hzc hzc A ball is fired out the back of a car. It is fired.

Vectors Vector: a quantity that has both magnitude (size) and direction Examples: displacement, velocity, acceleration Scalar: a quantity that has no.

Kinematics Vector and Scalar Definitions Scalar: a physical quantity that can be defined by magnitude (size) only. Vector: a physical quantity that can.

Forces in Two Dimensions

Ch. 3 Vectors & Projectile Motion. Scalar Quantity Described by magnitude only – Quantity Examples: time, amount, speed, pressure, temperature.

Vectors.  A Vector is a physical measurement that has both magnitude and direction.  Vectors include displacement, velocity, acceleration, and force.

Unit 3: Motion Introduction to Vectors.  Scalar  units of measurement that involve no direction (mass, volume, time).  Vector  a physical quantity.

Addition of Vectors Example Q. A pilot has selected a course of 100km/h, due West. If there’s a wind blowing with a velocity of 40 km/h, due South, what.

Vectors. Basic vocabulary… Vector- quantity described by magnitude and direction Scalar- quantity described by magnitude only Resultant- sum of.

Vectors: the goals Be able to define the term VECTOR and identify quantities which are vectors. Be able to add vectors by the “Head to Tail Method” Be.

Vectors Physics Objectives Graphical Method Vector Addition Vector Addition Relative Velocity.

Relative Velocity. objects move within a medium which is moving with respect to an observer an airplane encounters wind a motor boat moves in a river.

Velocity Vectors & Projectile Motion Wind 20 km/h East Wind 20 km/h West Wind 20 km/h South Plane 100 km/h East VELOCITY VECTORS Plane 120 km/h East.

Chapter Relative Motion. Objectives Describe situations in terms of frame of reference. Solve problems involving relative velocity.

Relative Velocity. Example 1 A man is trying to cross a river that flows due W with a strong current. If the man starts on the N bank, how should he head.

Vectors: Word Problems

Motion Vectors. What is the difference between a vector and a scalar quantity?

Lesson Objective Understand what vectors are and the notation Begin to use the notation to solve geometry problems.

Vectors Chapter 4.

PHY PHYSICS 231 Lecture 4: Vectors Remco Zegers

Physics 2D Motion worksheet Selected question answers.

Kinematics in Two Dimensions

Motion at Angles Life in 2-D Review of 1-D Motion  There are three equations of motion for constant acceleration, each of which requires a different.

CONTENTS  Scalars and Vectors.  Bearings & Compass headings.  Drawing Vectors.  Vector addition & subtraction.  Relative velocity.  Change in.

Try If Vectors… 2 steps north 2 steps north 5 steps west 5 steps west 4 steps north 4 steps north 6 steps west 6 steps west 10 steps north 10 steps north.

Physics Section 3.2 Resolve vectors into their components When a person walks up the side of a pyramid, the motion is in both the horizontal and vertical.

Lesson Objective Understand what vectors are and the notation Begin to use the notation to solve geometry problems.

Velocity: Speed in a given direction Ex. 250 km/h North Speed = 250km/h Direction = North.

Relative Motion! (pg. 82 – 83) Amy, Bill, and Carlos are watching a runner… According to Amy, the runner’s velocity is vx = 5 m/s According to Bill, the.

Relative Velocity.

Vector Addition: “Tip-to-Tail”

Vectors and Projectiles

Vectors and Scalars This is longer than one class period. Try to start during trig day.

Vectors AP Physics 1.

Chapter 3-4: Relative Motion

Unit 1 Part 5: Relative Velocity

Chapter 2 : Kinematics in Two Directions

Relative Velocity & River Boat Problems

Physics Section 3.1 Represent quantities using vectors

Introduction to Vectors

Enduring Understanding: Modeling is widely used to represent physical and kinematic information. Essential Question: What are the practical applications.

Vector addition.

Galileo tries to measure g.

Enduring Understanding: Modeling is widely used to represent physical and kinematic information. Essential Question: What are the practical applications.

Motion in a Plane Physics Problem

Scalars Vectors Examples of Scalar Quantities: Length Area Volume Time

Crossing the River.

Do Now: An ant is crawling on the sidewalk. At one moment, it is moving south a distance of 5.0 mm. It then turns 45 degrees south of west and crawls 4.0.

The Kinematics Equations

Vector Example Problems

Introduction to 2D motion and Forces

STEP 1 – break each vector into its components

Add the following vectors in order “Tip-to-Tail”

Velocity Vectors Chapter

Paper River Investigation

Intro to Motion Standards 1.1, 1.2.

Introduction to Vectors

Presentation transcript:

Vector Worksheet 2 Answers 1. Determine the resultant of: 1. Determine the resultant of: A = 30.0 N at 0o B = 40.0 N at 90o 270 90 180 B a2 + b2 = c2 A (30)2 + (40)2 = R 2 x R x 2500 = R 2 R = 50 N opp 40 tan x = = adj 30 Bearing = 0 + 53 = 53 tan x = 1.33 R = 50 N at 53o x = tan -1 (1.33) = 53o

Determine the resultant velocity (magnitude and direction) 2. Plane = 4.00 x 102 km/h south Wind = 80.0 km/h east Determine the resultant velocity (magnitude and direction) 270 90 180 x a2 + b2 = c2 (400)2 + (80)2 = R 2 P R x 166 400 = R 2 R = 408 km/h W opp 80 tan x = = Bearing = 180 - 11 = 169 adj 400 tan x = 0.20 R = 408 km/h at 169o x = tan -1 (0.20) = 11o

(a) What is the resultant velocity? 3. River = 6.0 m/s to the west Boat = 15 m/s to the south River is 2.00 x 102 meters wide. (a) What is the resultant velocity? 270 90 180 a2 + b2 = c2 (15)2 + (6)2 = R 2 15 m/s R 261 = R 2 x R = 16 m/s 6 m/s opp 6 tan x = = adj 15 Bearing = 180 + 22 = 202 tan x = 0.40 R = 16 m/s at 202o x = tan -1 (0.40) = 22o

(b) How long does it take to reach the other side? 3. River = 6.0 m/s to the west Boat = 15 m/s to the south River is 2.00 x 102 meters wide. (b) How long does it take to reach the other side? d = v t v v 200 m 16 m/s 15 m/s d t = v 6 m/s Use the velocity of the boat across the river 200 m t = 15 m/s t = 13 s

(c) How far downstream has it traveled when it reaches the other side? 3. River = 6.0 m/s to the west Boat = 15 m/s to the south River is 2.00 x 102 meters wide. (c) How far downstream has it traveled when it reaches the other side? d = v t 200 m 16 m/s 15 m/s = ( 6.0 m/s )( 13.33333 s ) 6 m/s d = 80 m d

4. Determine the resultant of: A = 125 N at 270o B = 40.0 N at 180o 4. Determine the resultant of: A = 125 N at 270o B = 40.0 N at 180o 270 90 180 A x a2 + b2 = c2 x B R (125)2 + (40)2 = R 2 17 225 = R 2 opp 40 R = 131 N tan x = = adj 125 tan x = 0.32 Bearing = 270 - 18 = 252 x = tan -1 (0.32) = 18o R = 131 N at 252o

5. Determine the resultant of: A = 75 N at 0o B = 48 N at 270o 5. Determine the resultant of: A = 75 N at 0o B = 48 N at 270o 270 90 B 180 A a2 + b2 = c2 x R (75)2 + (48)2 = R 2 x 7929 = R 2 opp 48 R = 89 N tan x = = adj 75 tan x = 0.64 Bearing = 360 - 33 = 327 x = tan -1 (0.64) = 33o R = 89 N at 327o