SOLUTION: A particle undergoes two displacements. The
first has a magnitude of 11 m and makes an
angle of 76◦ with the positive x axis.
The result after the two displacements is
8.
Algebra.Com
Question 211112: A particle undergoes two displacements. The
first has a magnitude of 11 m and makes an
angle of 76◦ with the positive x axis.
The result after the two displacements is
8.7 m directed at an angle of 109 ◦ to the
positive x axis using counter-clockwise as the
positive angular direction (see the figure be-
low).
Find the magnitude of the second displace-
ment. Answer in units of m.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
The first displacement
.
delta x = 11 cos 76 = 2.661
delta y =11 sin 76 = 10.67
.
The final displacement
.
delta x = 8.7 cos 109 = -2.832
delta y = 8.7 sin 109 = 8.23
.
The second displacement
.
delta x = -2.832-2.661 = -5.493
delta y = 8.23 - 10.67 = -2.44
.
Magnitude of 2nd displacement = sqrt{ 5.493^2 +2.44^2 } = 6.01 m
.
A rough sketch helps visualize vectors
.
RELATED QUESTIONS
A force f1, with magnitude 2n, and a second force f2, with magnitude 4n, act on a... (answered by Fombitz)
if A has a magnitude of 55.9 an B has a magnitude of 42.3 find the magnitude R of the... (answered by jimbols)
Two foraces of magnitude 10N and 12N act on a particle. If the angle between them is... (answered by amarjeeth123)
Two forces act on an object at 30° to each other. One force has a magnitude of 180 N,... (answered by KMST)
One angle of an isosceles triangle is twice another angle of the triangle. Which of the... (answered by vleith)
a particle undergoes simple harmonic motion with an amplitude of 5cm and an angular... (answered by fractalier)
A right triangle has an acute angle of 30◦ and a hypotenuse of 1 unit long. Find... (answered by Alan3354)
The vector V has a magnitude of 148.18 units and makes an angle of 45.29 degrees with the (answered by math_helper)
A particle starts from the origin at t = 0 with
an initial velocity having an x... (answered by Alan3354)