Two forces 3
Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. If the resultant force is 17 Newtons, find the angle between the forces.
Correct answer:
Tips for related online calculators
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- planimetrics
- triangle
- The Law of Cosines
- goniometry and trigonometry
- cosine
- arccosine
Themes, topics:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant? - Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each two forces. - Perpendicular 81758
Distribute the force of magnitude F = 100 N into two perpendicular components with magnitudes F1 and F2 so that the angle between forces F1 and F is 43°52'. - Resultant force
Calculate mathematically and graphically the resultant of three forces with a common center if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25° - Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Gravitational 63504
Due to the force of gravity, a freely released body falls towards the Earth. The reaction to the gravitational force is of equal magnitude and acts on the Earth at its center. Explain why we do not observe the motion of the Earth towards the body. - Two forces
The two forces, F1 = 580N and F2 = 630N have an angle of 59 degrees. Calculate their resultant force, F. - Gravitational 38843
An aluminum plate with a volume of 200 cm³ sinks in water. Determine the gravitational force exerted by the Earth on the plate. Determine the buoyant force that acts on a plate immersed in water. Compare the magnitudes of these forces and justify whether - Suspended 48691
A body weighing 400 kg is suspended at a distance of 1 m from one end of the beam on a beam weighing 100 kg and 5 m. How large do forces act at the ends of the beam? - Isosceles 48443
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1m. What is the electric field strength at the center S of side BC, i.e., what force would act on a pos - Gravitational 61894
The center of force on the wheel is 1.2 m from the axis of rotation, and the load is attracted by the earth's gravitational force equal to 800 newtons at a distance of 40 cm from the axis of rotation. How much force F2 does the worker lift the wheel? - Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Newtonmeters
The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt? - Hydraulic 36031
The hydraulic blade has pistons with an area of 10 cm² and 500 cm². How much force acts on the larger piston if we act on the smaller piston with a force of 100 N?
