Consider a coordinate system in which the positive x axis is directed upward vertically. What are the positions of a particle (a) 5.0 m directly above the origin and (b) 2.0 m below the origin? a) 5.0 m b) -2.0 m a) -5.0 m (B b) -2.0 m a) 5.0 m b) 2.0 m a) -2.0 m b) 5.0 m

Consider a coordinate system in which the positive x axis is directed upward vertically. What are the positions of a particle (a) 5.0 m directly above the origin and (b) 2.0 m below the origin? a) 5.0 m b) -2.0 m a) -5.0 m (B b) -2.0 m a) 5.0 m b) 2.0 m a) -2.0 m b) 5.0 m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section2.3: Coordinate Systems And Position

Problem 2.2CE: For each of the following, give the vector component, the scalar component, and the magnitude. a....

See similar textbooks

Related questions

Q: Based on the given value of the initial speed (v =3.22 m/s), what is the range of the projectile…

Q: A snowmobile is originally at the point with position vector 29.0 m at 95.0 degrees counterclockwise…

A: A vector is a physical quantity that has both magnitude and direction. On the other hand, scalar…

Q: (a) If the base of the building is taken to be the origin of the coordinates, with upward the…

A: a) Here the ball is initially at a height y0 from the ground. So as the origin is at the ground…

Q: A snowmobile is originally at the point with position vector 29.0 m at 95.08 counterclockwise from…

Q: An ion's position vector is initially = (-8.3 m )i + (-4.2 m )} + (-6.2 m )k, and 6.5 s later it is…

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

Q: A large cannon is fired from ground level over level ground at an angle of 30 degrees above the…

Q: Dominador, who is standing on the edge of an 80-m tall cliff facing the sea, kicks a ball…

Q: A snowmobile is originally at the point with position vector 27.7 m at 95.0° counterclockwise from…

A: Let, the initial position vector be denoted by 'r0' , initial velocity be denoted by 'u' ,…

Q: A cross-country skier skis 1.0 km north and then 2.0 km east. How far and in what direction is she…

A: Given values: Diplacement along north, sn→=1.0 km Displacement along east, se→=2.0 km

Q: A projectile is launched at ground level with an initial speed of 55.5 m/s at an angle of 35.0°…

Q: A projectile is launched in such a way that its maximum height is one-half its total range. At what…

A: Expression for maximum height of the projectile - hmax=vi2sin2θ2g Expression for total range of the…

Q: An ice skater is gliding along at 2.1 m/s , when she undergoes an acceleration of magnitude 1.4 m/s2…

A: Given: u = 2.1 m/s a = 1.4 m/s2 t = 3 s v = 6.3 m/s

Q: A snowmobile is originally at the point with position vector 30.3 m at 95.0° counterclockwise from…

Q: In the figure, a ball is launched with a velocity of magnitude 8.00 m/s, at an angle of 49.0° to the…

A: Velocity of ball = 8m/s Angle = 490 d1= 6m d2=3.6m

Q: Given a parametric parabolic trajectory of x = 56t y = 76t - 4.9t? where x and y are measured in…

Q: Consider a coordinate system in which the positive x axis is directed upward vertically. What are…

A: Given data: Positive x axis is directed vertically upward Location 1 is 5.0 m above the origin…

Q: A football is kicked from ground level with an initial velocity of 25 m/s at angle of 35° above the…

A: Given : velocity of football at the time of launching v0=25 m/s Angle of projection θ=350 In the…

Q: In a projectile motion, the velocity is A B C D always perpendicular to the acceleration never…

Q: 1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an…

A: Given data The magnitude of the constant acceleration is a = 3 j m/s2 The initial velocity of the…

Q: Let V⃗ 1 = -6.5 i + 8.3 j and V⃗ 2 = -4.9 j + 4.4 i. a)Determine the direction of V⃗ 1.…

Q: A snowmobile is originally at the point with position vector 29.0 m at 95.0° counterclockwise from…

A: The first and the second equation of motion is given by v = u + at s = u t +0.5 at2 where, u is the…

Q: A particle starts from the origin of a three-dimensional coordinate system and undergoes two…

A: Given data: Particle starts from the origin r1→= 2.0mi^ + 1.0mj^+ 3.0mk^ r2→=−1.0mi^ − 3.0mj^ −…

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion-Felis…

A: Here, 12ft=12ft×0.3048m1ft=3.6576m

Q: A particle moves along xy-plane with a position of x (t) = sin(2t) + 3 cos(4t) y (t) = 1/2 sin(t)…

A: Given, x (t) = sin(2t) + 3 cos(4t) y (t) = 1/2 sin(t) – 6 cos(3t) a. Determine the position vector…

Q: A novice golfer on the green takes three strokes to sink the ball. The successivedisplacements of…

A: Given data: The magnitude of displacements is,

Q: A particle initially located at the origin has an acceleration of a⃗ = 3.0ĵm/s2 and an initial…

A: Given data: Acceleration, a→=3.0 j^ m/s Initial velocity v→i=500i^ m/s

Q: A person looking out the window of a stationary train notices that raindrops are falling vertically…

A: Velocity of rain drop in vertical direction and velocity of train in horizontal direction is related…

Q: A projectile is projected from the origin with a velocity of 25.0 m/s at an angle of 50.0 degrees…

Q: bus driver heads south with a steady speed of v, = 20.0 m/s for t, northwest at v2 = 30.0 m/s for t,…

A: Assume the bus initially travels south with velocity v1 = 20.0 m/s for time t1 = 3.00 min and covers…

Q: A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up…

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

Q: A particle is sliding in a circular path, using polar coordinates where r = 2 and 0 =21 so that the…

A: Polar coordinate (r) = 2 m θ = 2 t

Q: A basketball player runs 7.00 m due north, then 5.00 m in a direction 300 north of west, and finally…

A: Let d1 = 7 m due north d2 = 5 m 30 oC due north of west d3 = 8 due east Φ = 30 oC

Q: Example(3):- A projectile is fired from the edge of a 150 m cliff with an initial velocity of 180…

A: The given data are listed below with appropriate variables. Here, h denotes the cliff’s height, u…

Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

Q: In the figure, a ball is launched with a velocity of magnitude 6.00 m/s, at an angle of 44.0° to the…

Q: Which of the following velocity vectors is equal to 25.0 m/s, directed 1650 counterclockwise from…

A: The given velocity vector is represented as,

Q: A particle initially located at the origin has an acceleration of à = 2.1î m/s? and an initial…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A particle moves along xy-plane with a position of a (t) = sin(2t) + 3 cos(4t) y (t) = sin(t) – 6…

A: The particle moves in the X-Y plane.Hence the position vector will be of the form r=xi+yj Velocity…

Q: A particle initially located at the origin has an acceleration of a = 3.00j m/s² and an initial…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An ion's position vector is initially r→=(-3.7m)î+(-6.4m)ĵ+(9.3m)k̂, and 9.4 s later it is…

A: Given data The initial position is given as r1=-3.7 mi^+-6.4 mj^+9.3 mk^. The final position is…

Q: Consider a coordinate system in which the positive x axis is directed upward vertically. What are…

A: Here positive x axis is directed upward in the given coordinate system, therefore any displacement…

Q: In the figure, a ball is launched with a velocity of magnitude 8.00 m/s, at an angle of 49.0° to the…

Q: The position of a particle at time t 2 0 is given by the parametric equations x(1) = + 4 and y(t)=r²…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

Consider a coordinate system in which the positive x axis is directed upward vertically. What are the positions of a particle (a) 5.0 m
directly above the origin and (b) 2.0 m below the origin?
a) 5.0 m
A
b) -2.0 m
a) -5.0 m
B
b) -2.0 m
a) 5.0 m
b) 2.0 m
a) -2.0 m
b) 5.0 m

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

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

Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Find the following for path A in Figure 3.54: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
A snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50 m at 16.0 from the vertical in the uphill direction as shown in Figure P3.16. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface. Figure P3.16
What is the y component of the vector (3i 8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
For each of the following, give the vector component, the scalar component, and the magnitude. a. r=2.4im b. r=2.4km c. z=2.4km d. x = 2.4 m
A man in a maze makes three consecutive displacements. His first displacement is 8.00 m westward, and the second is 13.0 m northward. At the end of his third displacement he is back to where he started. Use the graphical method to find the magnitude and direction of his third displacement.
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
Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
An explorer walks 19km due east, then 15km north, and finally 4km west. A) What is the total distance walked? B) What is the resulting displacement of the explorer from the starting point, including the angle of direction?
You drive a car 1200 m due south, then 1500 m at 300 west of south, and finally 1050 m at 500 north of west. Using the component method calculate the magnitude and direction of the resultant displacement vector
A person walks 60.0 m and then be walks 130 m. (1, 4) a) What is the person's displacement if they walk east then west) b) What is the person's displacement if he walks east both times? (190 m ) c) What distance does the person walk in each case? (190m)