Two ropes are connected to a 200 kg dinghy. Two brothers each take one rope and pull. When the brothers pull in the same direction, the dinghy accelerates at a rate of 1.41 m/s² to the east. If they pull in opposite directions, the dinghy has an acceleration of 0.534 m/s2 to the west. Assume the ropes are horizontal, and ignore any other horizontal forces acting on the dinghy. What is the magnitude of the force each brother exerts on the dinghy? (Assume each magnitude is constant in either direction.) larger force smaller force 184.4 X Notice that this is a one-dimensional problem. Write Newton's second law for each case, and solve your system of two equations with two unknowns. N N

Two ropes are connected to a 200 kg dinghy. Two brothers each take one rope and pull. When the brothers pull in the same direction, the dinghy accelerates at a rate of 1.41 m/s² to the east. If they pull in opposite directions, the dinghy has an acceleration of 0.534 m/s2 to the west. Assume the ropes are horizontal, and ignore any other horizontal forces acting on the dinghy. What is the magnitude of the force each brother exerts on the dinghy? (Assume each magnitude is constant in either direction.) larger force smaller force 184.4 X Notice that this is a one-dimensional problem. Write Newton's second law for each case, and solve your system of two equations with two unknowns. N N

Name: Two ropes are connected to a 200 kg dinghy. Two brothers each take on
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Two ropes are connected to a 200 kg dinghy. Two brothers each take one rope and pull. When the brothers pull in the samedirection, the dinghy accelerates at a rate of 1.41 m/s² to the east. If they pull in opposite directions, the dinghy has anaccel

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 67P

See similar textbooks

Similar questions

If a force is applied with a magnitude of 200 N at 30 degrees above the horizontal, what are the horizontal and vertical components of this force? Group of answer choices Fa,h= 136.667 N Fa,v= 87.334 N Fa,h= 200 N Fa,v= 200 N Fa,h= 173.2 N Fa,v= 100 N Fa,h= 150 n Fa,v= 50 N
A force acts at the origin of a coordinate system in a direction defined by the angles θx = 69.3° and θz = 57.9°. Knowing that the y component of the force is –174 lb, determine (a) the angle θy, (b) the other components and the magnitude of the force.
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.)
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?
The highest spot on Earth is Mt. Everest, which is 8850 m above sea level. If the radius of the Earth (to sea level) is 6370 km, how much does the magnitude of g change between sea level and the top of Mt. Everest? (G = 6.67 × 10-11 N m2/kg2, and the mass of the Earth is 5.98 × 1024 kg.)
According to a simplified model of a mammalian heart, at each pulse, approximately 20 g of blood is accelerated from 0.26 m/s to 0.35 m/s during a period of 0.10 s. What is the magnitude of the force exerted by the heart muscle? Express your answer to two significant figures and include the appropriate units. F= ______ units I got 0.02N but it is wrong.
A force F of magnitude 665 N lies in the line of action AB = 3i - 1j + 1.6k. What is the magnitude of the y-component of the force?
A force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the positive x axis (Fig. P3.7). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1+F2. Figure P3.7
Determine the magnitude F and direction θ (measured clockwise from the positive y-axis which is downward in this case) that will cause the resultant R of the four applied forces to be directed to the right with a magnitude of 12.4 kN. 12.7 kN, 51.8o 17.2 kN, 15.8o 21.7 kN, 18.5o 72.1 kN, 81.5o
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.
For sport, a 12 kg armadillo runs onto a large pond of level, frictionless ice. The armadillo’s initial velocity is 5.0 m/s along the positive direction of an x axis.Take its initial position on the ice as being the origin. It slips over the ice while being pushed by a wind with a force of 17 N in the positive direction of the y axis. In unitvector notation, what are the animal’s (a) velocity and (b) position vector when it has slid for 3.0 s?
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.