HomeworkLib
Question

Consider two displacements, one of magnitude 15 m and another of magnitude 20 m. What angle...

Consider two displacements, one of magnitude 15 m and another of magnitude 20 m. What angle between the directions of this two displacements give a resultant displacement of magnitude (a) 35 m, (b) 5 m, and (c) 25 m.

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

using the equation

R^2 = F1^2 + F2^2 + 2F1F2 cos θ

a) 35^2 = 15^2 + 20^2 + 2*15*20*cos θ

θ = 0o

b) 5^2 = 15^2 + 20^2 + 2*15*20*cos θ

θ = 180o

c) 25^2 = 15^2 + 20^2 + 2*15*20*cos θ

θ = 90o

0 0
Add a comment
Know the answer?
Add Answer to:
Consider two displacements, one of magnitude 15 m and another of magnitude 20 m. What angle...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A particle undergoes two displacements. The first has a magnitude of 193 cm and makes an...

    A particle undergoes two displacements. The first has a magnitude of 193 cm and makes an angle of 111◦ with the positive x axis. The resultant of the two displacements is 115 cm directed at an angle of 35.6 ◦ to the positive x axis. Find the magnitude of the second displacement. Answer in units of cm.

  • A particle undergoes two displacements. The first has a magnitude of 164 cm and makes an...

    A particle undergoes two displacements. The first has a magnitude of 164 cm and makes an angle of 112.8 ◦ with the positive x axis. The resultant of the two displacements is 110 cm directed at an angle of 31.4 ◦ to the positive x axis. Find the magnitude of the second displacement. Answer in units of cm

  • [23] Consider the two vectors A = 3i-2j and B- M4j. Calculate (a) A+ B, (b)...

    [23] Consider the two vectors A = 3i-2j and B- M4j. Calculate (a) A+ B, (b) A-B, (c),A+B, and (e) the directions of A+ B and (d) |A, B|, AB A tlanta İs 780 miles in a direction Figure P3.24 25. Your dog is running around the grass in your back M yard. He undergoes successive displacements 3.50 m south, 8.20 m northeast, and 15.0 m west. What is the resultant displacement? 31. Consider the three displacement vectors A Use...

  • Suppose you take two non-zero displacements represented by vectors A&B. The magnitude of Ais 4 m...

    Suppose you take two non-zero displacements represented by vectors A&B. The magnitude of Ais 4 m and the magnitude of Bis 8 m. What is the magnitude of the largest displacement you can end up from the starting point?

  • What are (c) the magnitude and (d) the angle (relative to the pos- itive direction of...

    What are (c) the magnitude and (d) the angle (relative to the pos- itive direction of the x axis) of the overall displacement? 15 SSM ILW WWW The two vec- tors a and b in Fig 3-28 have equal1 magnitudes of 10.0 m and the angles are θ,-30° and 105°. Find the (a) x and (b) y components of their vector sum T. (c) the magnitude of T, and (d) the angle T makes with the positive direction of the...

  • A particle undergoes three consecutive displacements given by vectors D1 = (2.5î − 3.5ĵ − 3.0 ...

    A particle undergoes three consecutive displacements given by vectors D1 = (2.5î − 3.5ĵ − 3.0 k) mm, D2 = (2.5î − 2.0ĵ + 3.0 k) mm, and D3 = (−8.5î + 9.0ĵ + 8.0 k) mm. a-Find the resultant displacement vector of the particle (in mm). D = mm (b) What is the magnitude of the resultant displacement (in mm)? mm (c) If all displacements were along one line and in the same direction, how far would the particle...

  • 10) One force A=13.7 N has an angle 30 Degree with x axis and another vector...

    10) One force A=13.7 N has an angle 30 Degree with x axis and another vector B=2*13.7 N has an angle 45 Degree with same x axis. Determine the magnitude of vector subtraction A-B? 11) A velocity vector, {a}m/s has an angle 30 degree with x axis and another velocity vector {b}m/s, has an angle 90 degree with x axis. What is the angle of the resultant with reference to X axis?

  • A.) A displacement vector has a magnitude of 180 m and is directed at an angle...

    A.) A displacement vector has a magnitude of 180 m and is directed at an angle of 35 degrees northeast. Find its eastward component. B.) What angle would produce an x-component of 14 m and a y-component of 63 m? Express your answer in degrees.

  • Four successive displacements of 4 km, 5 km, 4 km, and 2 km are at right...

    Four successive displacements of 4 km, 5 km, 4 km, and 2 km are at right angles to each other as shown in the diagram. The magnitude of the resultant displacement is 5. 5 km 4 km 4 km 2 km A. 4 km B. 15km C. 3km D. -5 km E. -15 km 6. The graph shows how the position of a particle depends on time. x, m 4 2 4 6 8 t,s Which choice is closest to...

  • Here are two vectors: a→=(4.00⁢m)î-(3.00⁢m)ĵ and b→=(6.00⁢m)î+(8.00⁢m)ĵ. What are (a) the magnitude and (b) the angle...

    Here are two vectors: a→=(4.00⁢m)î-(3.00⁢m)ĵ and b→=(6.00⁢m)î+(8.00⁢m)ĵ. What are (a) the magnitude and (b) the angle (counterclockwise from the axis defined by î) of a→? What are (c) the magnitude and (d) the angle of b→? What are (e) the magnitude and (f) the angle of a→+b→; (g) the magnitude and (h) the angle of b→-a→; and (i) the magnitude and (j) the angle of a→-b→? (State your angle as a positive number.) (k) What is the angle between the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT