A 10.0 kg mass is acted on by the two forces: and F1=(3.0N)i+(2.0N)j and F2=(10.0N)i+(7N.0)7 a) Express the summation of these two forces in unit vector notation. That is: b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation. c) What is the direction of the acceleration (give the angle of acceleration with the x axis)?
A 10.0 kg mass is acted on by the two forces: and F1=(3.0N)i+(2.0N)j and F2=(10.0N)i+(7N.0)7 a) Express the summation of these two forces in unit vector notation. That is: b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation. c) What is the direction of the acceleration (give the angle of acceleration with the x axis)?
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Question
A 10.0 kg mass is acted on by the two forces:
and F1=(3.0N)i+(2.0N)j and F2=(10.0N)i+(7N.0)7
- a) Express the summation of these two forces in unit vector notation. That is:
- b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation.
- c) What is the direction of the acceleration (give the angle of acceleration with the x axis)?
Expert Solution
Step 1
Given
F1= (3 i+ 2 j) N, F2= (10 i+7 j) N
Summation of these two forces would be
Fresultant= (2+10) i +(2+7)j N = (12 i+9j) N
magnitude of Fresultant= = 15 N
Unit vector in direction of vector = / = 1/15 * (12 i +9 j) N
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