A cyclist rides 4.0 km due east, then 11.0 km 19 west of north. From this point she rides 9.0 km due west. What is the final displacement from where the cyclist started (in km)? (Express your answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north.) kom

A cyclist rides 4.0 km due east, then 11.0 km 19 west of north. From this point she rides 9.0 km due west. What is the final displacement from where the cyclist started (in km)? (Express your answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north.) kom

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 21P: A cyclist rides 5.0 km due east, then 10.0 km 20 west of north. From this point she rides 8.0 km due...

See similar textbooks

Related questions

Q: Create a bucket by rotating around the y axis the curve y = 2ln(x-3) from y = 0 to y = 6. If this…

A: Given, y= 2ln (x-3) Density = 840 kg/m3 Height = 2m We need to calculate, Work =?

Q: 6. A teacher asks a group of students to use a ruler to measure the amplitude of the wave shown…

Q: HW 2.2 Starting from rest, a car accelerates at a rate of 4.0 m/s² for a time of 5 seconds. What is…

A: According to guidelines we need to solve only first question kindly repost other questions in the…

Q: 2. Two cells each of e.m.f 1.8V and internal resistance 0.5 ohms pass a current through a 2ohms…

Q: Select all of the following descriptions that are SHARED by both Coulomb's Law and Newton's Law of…

A: Coulomb's law gives the force of attraction or repulsion between charged particles. It is given as…

Q: Purpose: To investigate the small-angle approximation. Mass, in 80.675g Angle 5⁰ S Pendulum length,…

Q: An ideal gas initially at P₁, V₁, and T; is taken through a cycle as shown below. (Let the factor n…

Q: A loop of wire (Area of loop = 0.02 m², plane of loop in x/y plane) enters a region of space with a…

A: Faraday's Second Law of Electromagnetic Induction: It states that induced emf (e) in a closed loop…

Q: A frictionless pendulum on Earth with a length of 50 cm and a mass of 600 g is raised 50 cm in the…

A: The problem describes a frictionless pendulum with a length of 50 cm and a mass of 600 g. The…

Q: 10. In a double-slit experiment, if the slit separation is decreased, which of the following happens…

A: (b) The minima get closer. This is because the distance between the two slits is related to the…

Q: A rock is lunched at y = 2m at an angle of 45º it hits a build in horizontal at 15m and a height of…

Q: A loaded railroad car of mass m is rolling at a constant velocity Vo when it couples with a massless…

Q: A 2500 kg meteorite falls toward the earth. What is the magnitude of the earth's acceleration just…

A: Mass of meteorite ( m ) = 2500 kg Mass of earth ( M ) = 5.98 * 10 24 kg

Q: Consider a projectile launched with an initially horizontal velocity of 19.7m from a cliff of height…

A: Initial velocity (u) = 19.7 msinitial height (h) = 9.23 m

Q: he electric potential along the z-axis is 100e 2 V, where x is in meters. Part A What is Eat z = 1.0…

Q: Two particles with charges +2e and -5e are initially very far apart (effectively an infinite…

Q: A thin, hollow sphere of radius r = 0.480 m and mass m = 16.0 kg turns counterclockwise about a…

Q: 1. For the circuit in fig. 1, celi e.m.f. 2 V internal resistance 0.5 12 292 652 292 calculate a)…

A: Solution: Given: Circuit is as shown in the figure. R1 = resistance of resistor 1 (on left side) = 2…

Q: You are working on a research project in which you must control the direction of travel of electrons…

A: Given that, l=0.500 md=2.85 cmvi=7.70×106m/sWe, have to determine θmin =? and θmax=?The vertical…

Q: How much land (in km2) would you need to cover with solar panels in order to generate all of our…

A: Solar radiance is a term used for solar power (in W) received per unit area (in m2) by solar panel…

Q: What temperature, in °C, is a blackbody whose emission spectrum peaks at 320 nm ? 5. ΑΣΦ ?

A: A: The given wavelength is λ=320 nm=320×10-9 m The Wiens constant is b=2.82×10-3 mK Applying Wiens…

Q: Include appropriate units in your final answer. Round off your final answer to two decimal places.…

A: Given data- Radius of the object is r=15 m Time interval, T=5.0 s-0 s =5.0 s

Q: Two forces with magnitudes of 45 pounds and 62 pounds are applied to an object. The magnitude of the…

A: To calculate the angle between the resultant vector and the two constituent vectors. Given:The first…

Q: he magnitude of the electrostatic force between two identical ions that are separated by a distance…

Q: Bonnie and Clyde are sliding a 285 kg bank safe across the floor to their getaway car. The safe…

A: Mass, m = 285 kg Force, F1 = 375 N Force, F2 = 335 N

Q: V at ac ac a = Ζπτ T Vf - Vi t | %. r 4π²r T² √a² + a²

Q: Find the magnitude of the force of tension in strings 1 and 2.

A: Given: A block of mass m is connected with two strings. String 1 makes an angle 60° with horizontal…

Q: A block of mass M rests on a block of mass M₁ = 5.00 kg which is on a tabletop (see figure below). A…

A: Given that, M1=5.00 kg , mass of the upper blockμk=0.33, coefficient of kinetic frictionF=65.0 N,…

Q: We now consider three moles of ideal gas at the same initial state (3.0 L at 273 K). This time, we…

A: According to guidelines we need to solve only first question kindly repost other questions in the…

Q: 9. A boy of mass 45 kg on ice skates throws a 0.5 kg snowball in front of him at a velocity of 2.4…

Q: A 1100-kg car is backing out of a parking space at 5.2 m/s . The unobservant driver of a 1800-kg…

A: Given data as per the question Weight of car =1100 kg Speed of car = 5.2 m/s

Q: Write the rules for sketching electric field lines from equipotential configurations. Give your…

A: Electric field lines : Electric field lines are the imaginary lines that are used to describe the…

Q: An electric fan is rotating at a constant 72,000 meters per hour, making one complete rotation in…

A: It is given that, the electric fan completes one full cycle in 0.17 seconds while revolving at a…

Q: Consider a point charge q = 1.3 µC, point A at distance d₁ - 1.8 m from q, and point B at distance…

A: Electric potential due to point charge V = kq/r

Q: An optical fiber made of a glass core with index of refraction of 1.65 is coated with a clear…

A: Solution: Given: n1 = refractive index of glass core = 1.65 n2 = refractive index of plastic coating…

Q: The electric potential in a region of space is V = 300V-m, where and y are in meters. √z²+y² Part A…

Q: Three displacement vectors of a croquet ball are shown in the figure, where JÃI = 25.0 units, IBI…

Q: Where did the sin49 come from?

Q: During the Super Bowl, Eagles kicker Jake Elliot kicked a field goal. When he kicked the football,…

A: GIVEN Initial velocity of football (u) = 25.4 m/s launching angle = θ=300…

Q: The rotational inertia of a uniform thin rod about its end is ML2 /3, where M is the mass and L is…

Q: When a 20 N can is hung from the bottom of a vertical spring, it causes the spring to stretch 20 cm.…

Q: Review Multiple-Concept Example 4 to see the concepts that are pertinent here. In a television…

A: Initial velocity (u) = 0 msPotential difference (∆V) = 19000 Volts final velocity = vB

Q: The figure above shows a cross section of a very long, hollow dielectric (insulating) tube (the…

A: When a question with multiple subparts is given then according to the guidelines, only the first…

Q: Include appropriate units in your final answer. Round off your final answer to two decimal places.…

Q: 1. A flint glass lens (n = 1.64) is to be coated with a diamond film (n = 2.47) in order to minimize…

A: Given Index of refraction of the coating material(n) = 2.47 Minimum order(m) = 0 Wavelength of…

Q: Many people mistakenly believe that the astronauts who orbit Earth are "above gravity." Earth's mass…

A: Given data: The mass of the earth is m=6×1024 kg The radius is r=6.38×106 m

Q: 5. A solid sphere of radius R made of a conducting material is charged with positive electric charge…

Q: A wire carries a steady current of 2.80 A. A straight section of the wire is 0.750 m long and lies…

Q: the circuit of the figure below, the battery emf is 45 V, the resistance R is 190 Ω, and the…

Q: figure below shows a 108-turn square coil rotating about a vertical axis at ? = 1,390 rev/min. The…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

A cyclist rides 4.0 km due east, then 11.0 km 19 west of north. From this point she rides 9.0 km due west. What is the final displacement from where the cyclist started (in km)? (Express your
answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north.)
kom

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
What is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the information about their velocity vectors in each of the following situations, Indicate whether their velocity vectors are equal or otherwise. (a) Alice moves north at 6 knots and Bob moves west at 6 knots. (b) Alice moves west at 6 knots and Bob moves west a 3 knots. (C) Alice moves northeast at 6 knots and Bob moves south at 3 knots. (d) Alice moves northeast at 6 knots and Bob moves southwest a 6 knots. (e) Alice moves northeast at 2 knots and Bob moves closer to the shore northeast at 2 knots.
Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28
You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the distances you would have to fly due south and then due west to arrive at the same point. (b) Find the distances you would have to fly first in a direction 45.0south of west and then in a direction 45.0 west of north. Note these are the components of the displacement along a different set of axes-namely, the one rotated by 45 with respect to the axes in (a).