A 0.352 kg particle moves in an xy plane according to x(t) = -11.0+ 1.00 t-5.00 t³ and y(t) = 26.0+3.00 - 10.0 ť², with x and y in meters and t in seconds. At t = 1.48 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?

A 0.352 kg particle moves in an xy plane according to x(t) = -11.0+ 1.00 t-5.00 t³ and y(t) = 26.0+3.00 - 10.0 ť², with x and y in meters and t in seconds. At t = 1.48 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 4WUE: A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance...

See similar textbooks

Similar questions

A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
Three vectors are given by a = -2.00 + (2.00)j + (2.00) k, b = 1.00 + (3.00)j + (3.00) k, and 7 = -1.00 + (2.00) + (-3.00) Â. Find (a) à · (b×7)., (b) à · (7+). (c) x-component, (d) y-component, and (e) z- component of ax (+) respectively. (a) Number i (b) Number (c) Number (d) Number i (e) Number i Units Units Units Units Units < <
Consider the following vectors: A = 4.6i + 1.4j+ 3.4k B = -6.5i + 7.lj+ 10.2k Part (a) What is the x-component of the vector V = 3(A × 2B)? Vx = - 59.16 Vx = -59.16 V Correct! Part (b) What is the y-component of the vector V = 3(A × 2B)? Vy - 414.09 Vy = -414.1 V Correct! Part (c) What is the z-component of the vector V = 3(A × 2B)? V,=250.56 V,=250.6 V Correct! Part (d) What is the magnitude of the vector V?
Your answer is partially correct. The position 7 of a particle moving in an xy plane is given by 7 = (4.00 – 1.00t)î + (5.00 – 1.00r“)ĵ with 7 in meters and tin seconds. In unit-vector notation, calculate (a) r, (b) V,and (c) a for t= 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°). (a) Number 105 -76 i Units (b) Number 107 it -108 i Units m/s (c) Number 72 Ît -108 i Units m/s^2 (d) Number i 45.26 Units (degrees)
In the product F = qv(x) B, take q = 5, v= 2.0i + 4.0j + 6.0k and F = −30.0i −60.0j + 50.0k What then is B in unit-vector notation if Bx =B y?
Vectors u = −10i + 3j and v = −7i − 9j. What is u − v? a −17i − 6j b 17i + 6j c 3i − 12j d −3i + 12j
An electron's position is given by r=(3ti+4t2j+2k) with t in seconds and r in meters. A)Determine the electron's velocity v(t) in unit vector notation. B)What is the magnitude of v(t) at t=2 s? C)What is the angle between v(t) and the unit vector ı ?
1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (a) Find the magnitude of A. 2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body? 3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?
The three vectors in the figure have magnitudes a = 2.70 m, b = 2.60 m, and c = 10.4 m and angle 0 = 37.0°. What are (a) the x component and (b) the y component of a ; (c) the x component and (d) the y component of b ; and (e) the x component and (f) the y component of Ć ? If 7 =pá +q b ,what are the values of (g) p and (h) q? %3D (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units (f) Number i Units (g) Number i Units (h) Number i Units > > > > > > >
For the following three vectors, what is 3C · (2 A✕B )? A= 2.00i + 3.00j − 7.00k B= −3.00i + 7.00j + 2.00k C= 3.00i − 8.00j
What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. A→=(2.00⁢m)î+(3.00⁢m)ĵB→ = 4.00 m, at 65.0°C→=(-4.00⁢m)î-(6.00⁢m)ĵD→ = 5.00 m, at -235°