# Two forces acting in opposite direction have a resultant of 10 N. If they act at right angles to each other the resultant is 50 N , find the magnitude of each force.

2
by keishambikashsingha

2015-04-19T10:35:11+05:30

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Let the 2 forces be p1 and p2.
given:
p1-p2=10.....(1)
p1^2 + p2^2=50^2.....(2)
2 equations 2 unknowns. hence they can be solved.
2015-04-22T14:56:55+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Resultant force when the forces are in opposite direction :
F₁ - F₂ = 10 N    --- (1)

Resultant force Magnitude  when the forces are at right angles:
F²  =  F₁² + F₂² + 2 F₁  F₂  Cos 90°
50²  =  F₁² + F₂²    ---  (2)

F₁² + ( F₁ - 10)²  = 2500
F₁²  - 10 F₁ - 1200 = 0

F₁ = [ 10 + -  √4900 ] / 2 = 40  or  -30 N

F₂ =  30 N  or  - 40 N

The magnitudes of the two forces are :  30 N and 40 N.
The text passage contains a physics problem that requires the calculation of the magnitude of two forces based on their resultant forces when acting in opposite directions and at right angles. The passage also includes a solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Two forces acting in opposite direction have a resultant of 10 N. If they act at right angles to each other the resultant is 50 N , find the magnitude of each force.

2
by keishambikashsingha

2015-04-19T10:35:11+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the 2 forces be p1 and p2.
given:
p1-p2=10.....(1)
p1^2 + p2^2=50^2.....(2)
2 equations 2 unknowns. hence they can be solved.
2015-04-22T14:56:55+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Resultant force when the forces are in opposite direction :
F₁ - F₂ = 10 N    --- (1)

Resultant force Magnitude  when the forces are at right angles:
F²  =  F₁² + F₂² + 2 F₁  F₂  Cos 90°
50²  =  F₁² + F₂²    ---  (2)

F₁² + ( F₁ - 10)²  = 2500
F₁²  - 10 F₁ - 1200 = 0

F₁ = [ 10 + -  √4900 ] / 2 = 40  or  -30 N

F₂ =  30 N  or  - 40 N

The magnitudes of the two forces are :  30 N and 40 N.
user
The text passage contains a physics problem that requires the calculation of the magnitude of two forces based on their resultant forces when acting in opposite directions and at right angles. The passage also includes a solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER