1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vodomira [7]
2 years ago
5

Now we’ll use the component method to add two vectors. We will use this technique extensively when we begin to consider how forc

es act upon an object. Vector A⃗ A→ has a magnitude of 50 cmcm and a direction of 30∘∘, and vector B⃗ B→ has a magnitude of 35 cmcm and a direction of 110∘∘. Both angles are measured counterclockwise from the positive xx axis. Use components to calculate the magnitude and direction of the vector sum (i.e., the resultant) R⃗ =A⃗ +B⃗ R→=A→+B→.
Physics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

The magnitude of the vector sum of A and B is 65.8 cm and its direction 61.6°

Explanation:

Since vector A has magnitude 50 cm and a direction of 30, its x - component is A' = 50cos30 = 43.3 cm and its y - component is A" = 50sin30 = 25.

Also, Since vector B has magnitude 35 cm and a direction of 110, its x - component is A' = 35cos110 = -11.97 cm and its y - component is A" = 35sin110 = 32.89 cm.

So, the vector sum R = A + B

The x-component of the vector sum is R' = A'+ B' = 43.3 cm + (-11.97 cm) = 43.3 cm - 11.97 cm = 31.33 cm

The y-component of the vector sum is R" = A"+ B" = 25 cm + 32.89 cm = 57.89 cm

So, the magnitude of R = √(R'² + R"²)

= √((31.33 cm)² + (57.89 cm)²)

= √(981.5689 cm² + 3,351.2521 cm²)

= √(4,332.821 cm²)

= 65.82 cm

≅ 65.8 cm

The direction of R is Ф = tan⁻¹(R"/R')

= tan⁻¹(57.89 cm/31.33 cm)

= tan⁻¹(1.84775)

= 61.58°

≅ 61.6°

So, the magnitude of the vector sum of A and B is 65.8 cm and its direction 61.6°

You might be interested in
Would a larger, more heavier ball fall faster than a smaller and lighter ball?
ratelena [41]

Answer:

the larger-heavier would fall faster than lighter-smaller ball

Explanation:

5 0
2 years ago
Most of the life is spent in a cell development called?
tatuchka [14]
It's called cellular differentiation. I think.
6 0
2 years ago
Read 2 more answers
Chemical equations should be balanced so that they demonstrate the law of conservation of mass. Which of the following statement
faust18 [17]

Answer:

The products must contain the same numbers and types of atoms

7 0
2 years ago
What must be part of a quantitative observation?
inna [77]
a number hope this helps
8 0
3 years ago
Read 2 more answers
A boxer hits punching bag and gives it a change in momentum of 12 kg multiplied by m divided by s over 7.0ms what is the magnitu
mr_godi [17]

Answer: 1700

Explanation:

8 0
2 years ago
Other questions:
  • A tennis ball traveling horizontally at a speed of 40 m/s hits a wall and rebounds in the opposite direction. The time Interval
    14·1 answer
  • If the speed of an object were to triple, what would be the increase of kinetic energy?
    10·1 answer
  • How large is theta? Please help!!!!
    10·1 answer
  • A hole of 1 mm² is punched in a full 1-liter milk carton, 5 cm from the bottom. What is the initial speed of the outflow?
    7·1 answer
  • Which of the following are evidence of what happened in the past?
    12·1 answer
  • In 1996, astronomers discovered an icy object beyond Pluto that was given the designation 1996 TL 66. It has a semimajor axis of
    5·1 answer
  • HELP ME PLEASE!!!!!! A couch is pushed with a force of 79 N and moves a distance of 7 m across the floor. How much work was done
    15·1 answer
  • (0.50kg)(6.0mls)+(1.00kg)(-12.00mls)
    14·1 answer
  • How much force is needed to pull a spring with a spring constant of 20 N/m a distance of<br> 25 m?
    5·1 answer
  • HELP PLS I WILL MARK U BRAINLIEST!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!