A 397-kg boat is sailing 14.0° north of east at a speed of 2.40 m/s. 28.0 s later, it is sailing 38.0° north of east at a speed of 4.40 m/s. During this time, three forces act on the boat: a 34.1-N force directed 14.0° north of east (due to an auxiliary engine), a 24.7-N force directed 14.0° south of west (resistance due to the water), and (due to the wind). Find the (a) the magnitude and (b) direction of the force . Express the direction as an angle with respect to due east.

A 397-kg boat is sailing 14.0° north of east at a speed of 2.40 m/s. 28.0 s later, it is sailing 38.0° north of east at a speed of 4.40 m/s. During this time, three forces act on the boat: a 34.1-N force directed 14.0° north of east (due to an auxiliary engine), a 24.7-N force directed 14.0° south of west (resistance due to the water), and (due to the wind). Find the (a) the magnitude and (b) direction of the force . Express the direction as an angle with respect to due east.

Name: A 397-kg boat is sailing 14.0° north of east at a speed of 2.40 m/s. 2
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: A 397-kg boat is sailing 14.0° north of east at a speed of 2.40 m/s. 28.0 s later, it is sailing 38.0° north of east at a speed of 4.40 m/s. During this time, three forces act on the boat: a 34.1-N force directed 14.0° north of east (due to an auxili

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 29P: An object of mass m = 1.00 kg is observed to have an acceleration a with a magnitude of 10.0 m/s2 in...

See similar textbooks

Similar questions

An object of mass m = 1.00 kg is observed to have an acceleration a with a magnitude of 10.0 m/s2 in a direction 60.0 east of north. Figure P4.29 shows a view of the object from above. The force F2 acting on the object has a magnitude of 5.00 N and is directed north. Determine the magnitude and direction of the one other horizontal force F1 acting on the object. Figure P4.29
A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
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?
A 392-kg boat is sailing 18.0° north of east at a speed of 1.90 m/s. 31.0 s later, it is sailing 35.0° north of east at a speed of 3.60 m/s. During this time, three forces act on the boat: a 32.6-N force directed 18.0° north of east (due to an auxiliary engine), a 21.1-N force directed 18.0° south of west (resistance due to the water), and (due to the wind). Find the direction of the force . Express the direction as an angle with respect to due east.
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
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.
There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)
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 +7.67 x 105 m/s to a final velocity of 2.57 x 106 m/s while traveling a distance of 0.0857 m. The electron's acceleration is due to two electric forces parallel to the x axis: = 7.62 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 70 kg bicyclist is riding her 15 kg bicycle downhill on a road with a slope of 80without pedaling or braking. The bicyclist has a frontal area of 0.45 m2and a dragcoefficient of 1.1 in the upright position, and a frontal area of 0.4 m2and a dragcoefficient of 0.9 in a racing position. If the downhill speed of the bicyclist(terminal velocity) can be determined when the total force acting on the “body” inthe direction of movement is equal to zero, determine the percentage of downspeed that she can be increased when she is in a racing position. Air temperatureis 150C and disregarding the rolling resistance and friction at the bearing.
A force of magnitude 9.65 N pushes three boxes with mass M1=1.30 kg, and M2=3.20 kg, and M3=4.90 kg. what is the magnitude of the contact force that boxes 1 and 2 exert on each other? what is the magnitude of the contact force that boxes 2 and 3 exert on each other?
A 70.1 kg astronaut is holding a 8.1 kg tool pack while drifting at 10.4 m/s to the right. She throws the tool pack away so that it is drifting at 1.3 m/s to the left. How fast is she moving after the throw? Assume that they are out in deep space with no other forces acting on them.
Two water-skiers, with masses of 48 kg and 61 kg, are preparing to be towed behind the same boat. When the boat accelerates, the rope the skiers hold onto accelerates with it and exerts a net force of 290 N on the skiers. At what rate will the skiers accelerate? a. 10.8 m/s2 b. 2.7 m/s2 c. 6.0 m/s2 and 4.8 m/s2 d. 5.3 m/s2