Two constant forces of magnitudes F1 and F2, act on a particle of mass 5.00 [kg] which is at rest at the origin. The force F1 points at 14.5° west of north, while the force F2, points at 58.3° west of south. Due to the two forces, the particle accelerates and is later located at 32.4 [m], 17.0° north of west with speed 12.2 [m/s]. What is F1?

Two constant forces of magnitudes F1 and F2, act on a particle of mass 5.00 [kg] which is at rest at the origin. The force F1 points at 14.5° west of north, while the force F2, points at 58.3° west of south. Due to the two forces, the particle accelerates and is later located at 32.4 [m], 17.0° north of west with speed 12.2 [m/s]. What is F1?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 23PQ: The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net...

See similar textbooks

Similar questions

A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 16N and is directed to the right and down, making an angle of 50 degrees with the horizontal. The force G has magnitude 7N and is directed to the left and down, making an angle of 50 degrees with the horizontal. Find the magnitude of the vector H, and the acute angle it makes with the horizontal. Give the magnitude to one decimal place and the angle to the nearest degree. What is the magnitude of H and what is the acute angle H makes with the horizon?
In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?
The 4 lblb particle is subjected to the action of its weight and forces F1={2i+6j−2tk}lb, F2={t2i−4tj−1k}lb , and F3={−2ti}lb, where t is in seconds. Determine the distance the ball is from the origin 4 ss after being released from rest.
Two forces, F1 = (6.10î + 4.30ĵ) N and F2 = (3.40î + 7.65ĵ) N, act on a particle of mass 2.20 kg that is initially at rest at coordinates (+2.05 m, −4.50 m). (d) What are the coordinates of the particle at t = 10.7 s? x=_________m y=__________m
A 0.35 kg particle moves in an xy plane according to x(t) = - 17 + 1 t - 5 t3 and y(t) = 18 + 5 t - 10 t2, with x and y in meters and t in seconds. At t = 1.5 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the xaxis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?
During the filming of a certain movie scene, the director wants a small car (whose mass is m1) traveling due east at speed v1 to collide with a small truck (whose mass is m2) traveling north. The director also wants the collision to be arranged so that just afterward, the interlocked vehicles travel straight toward the camera. If the line between the camera and collision makes an angle of theta with respect to north, at what speed v2 should the trucker drive?
An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.11 x 105 m/s to a final velocity of 2.21 x 106 m/s while traveling a distance of 0.0678 m. The electron's acceleration is due to two electric forces parallel to the x axis: = 7.82 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force
A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 18N and is directed to the left and down, making an angle of 40 degrees with the vertical. The force G has magnitude 15N and is directed to the right and down, making an angle of 70 degrees with the horizontal. Find the magnitude of the vector H and the acute angle it makes with the horizontal.
An asteroid has a mass of m = 8.5 × 1012 kg and also has two rocket thrusters attached to it. One thruster supplies a force with x- and y- componentsF 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.)- What is the magnitude of the resultant force and in which direction does it act?
A 0.340 kg particle moves in an xy-plane according to x(t) = -15 + 2t – 4t^3and y(t) = 25 + 7t –9t^2, with x and y in meters and t in seconds. At t = 0.700 s, what are (a) the magnitude and (b) the angle (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 drone is being directed across a frictionless ice covered lake. The mass of the drone is 1.50 kg, and its velocity is 3.00i ^ m/s . After 10.0 s, the velocity is 9.00i ^ + 4.00j ^ m/s . If a constant force in the horizontal direction is causing this change in motion, find (a) the components of the force and (b) the magnitude of the force.
A particle of mass 2.4 kg is subject to a force that is always pointed towards the North but whose magnitude changes quadratically with time. Let the y-axis point towards the North. The magnitude of the force is given as F = 6t2, and has units of newtons Determine the change in velocity Δv, in meters per second, of the particle between t=0 and t=1.3s. Determine the change in y coordinate, in meters, of the particle Δ y betweent=o and t=1.3 if the initial velocity= 15.9 m/s and directed North, in the same direction as the force.