answer.
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
Mariana
1 month ago
12

The resultant of the concurrent forces is 300 lb pointing up along the Y axis. Compute the values of F and the angle required to

give the resultant.

Physics
2 answers:
Yuliya22 [3.3K]1 month ago
5 0

The computed values of F and the angle that would yield the resultant are F = 823.529 lbs and theta = 30.667 degrees.

Further Clarification

The resultant force from the concurrent efforts is 300 lb directed upwards along the Y axis. We need to find F and the corresponding angle.

The initial step is to determine the x and y components of all forces and then focus on the isolated figure:

The total of y components is

\sum F_y = R_y\\F sin \theta - (240 lbs) (sin 30) = 300 lbs\\F sin \theta - (240 lbs) (0.5) = 300 lbs\\F sin \theta - (120 lbs) = 300 lbs\\F sin \theta = 420 lbs

The total of x components is

\sum F_x = R_x\\F cos \theta - (240 lbs) (cos 30) - 500 lbs = 0\\F cos \theta - (240 lbs) (0.866) - 500 lbs = 0\\F cos \theta - (207.846 lbs) - 500 lbs = 0\\F cos \theta = 707.846 lbs

By substituting the angle θ in either of the two working equations, we can obtain

\frac{F sin \theta}{F cos \theta} = \frac{420 lbs}{707.846 lbs} \\tan \theta = 0.593\\\theta = 30.667 \\ F sin \theta = 420 lbs\\F sin 30.667 = 420 lbs\\F = \frac{420 lbs}{sin 30.667} \\F = \frac{420 lbs}{0.510} \\F = 823.529 lbs

Learn More

  1. Find out more about the values of F
  2. Discover more about the resultant
  3. Learn more about the angle

Answer Details

Grade: 9

Subject: Physics

Chapter: Forces

Keywords: values of F, angle, resultant, concurrent forces, angle

Maru [3.3K]1 month ago
5 0
<span>500 cos(180) i + 500 sin(180)
240 cos(-30) i + 240 sin(-30)
F cos(theta) i + F sin(theta)
-----------------------------------
300 cos(90) i + 300 sin(90)</span>
You might be interested in
Two very small 8.55-g spheres, 15.0 cm apart from center to center, are charged by adding equal numbers of electrons to each of
ValentinkaMS [3465]

Answer:

1.43 x 10¹⁷.

They will move away from each other.

Explanation:

The force acting on each charged sphere is determined as F = mass x acceleration

= 8.55 x 10⁻³ x 25 x 9.8

= 2.095 N

Assuming Q is the charge on each sphere

F = \frac{9\times10^9\times Q^2}{(15\times10^{-2})^2}

Using the values, 2.095 = \frac{9\times10^9\times Q^2}{(15\times10^{-2})^2}

We find that Q² = \frac{2.095\times(15)^2\times10^{-4}}{9\times10^9}

Thus, Q = 2.289 X 10⁻⁶

The quantity of electrons = Charge / charge of a single electron

= \frac{2.289\times10^{-6}}{1.6\times10^{-19}}

=1.43 x 10¹³.

They will accelerate away from each other.

4 0
1 month ago
Read 2 more answers
As Aubrey watches this merry-go-round for a total of 2 minutes, she notices the black horse pass by 15 times. What is the period
Sav [3153]
2 minutes = 120 seconds

120/15 = 8

The black horse corresponds to 8 seconds.
8 0
16 days ago
Read 2 more answers
Multiply the number 4.48E-8 by 5.2E-4 using Google. What is the correct answer in scientific notation?
Ostrovityanka [3204]

Answer:

2.32\times 10^{-11}

Explanation:

The first number is 4.48\times 10^{-8}.

The second number is 5.2\times 10^{-4}.

We must multiply these two numbers together.

4.48\times 10^{-8}\times 5.2\times 10^{-4}=(4.48\times 5.2)\times 10^{(-8-4)}\\\\=23.296\times 10^{-12}

In scientific notation: 2.32\times 10^{-11}

Therefore, this is the solution you are looking for.

8 0
2 months ago
Honey bees can acquire a small net charge on the order of 1 pC as they fly through the air and interact with plants. Estimate th
Softa [3030]
The force acting upon a charged particle in the presence of a magnetic field can be described by the equation: where q symbolizes the particle's charge, v represents its velocity, B indicates the magnetic field strength, and θ is the angle between the vectors of B and v. In this context, we consider: q as the charge of a honey bee; v as the flying speed of the bee; B as the Earth's magnetic field's average strength; noting that the bee's motion from east to west contrasts with the south to north direction of the magnetic field. By substituting these parameters into the equation, we arrive at an estimate.
7 0
21 day ago
The electric field in a particular space is = (x + 3.6) N/C with x in meters. Consider a cylindrical Gaussian surface of radius
Maru [3345]

Answer:

a) Ф = 0.016 N / C m, b) q_{int} = 0.14 10⁻¹² C

Explanation:

a) For this scenario, we rely on Gauss's law

          Ф = E.ds = q_{int} /ε₀

As the field points in the x direction, there is no flux through the cylinder walls.

          Ф = E A

         

The area of a circle is

           A = π r

          Ф = E π r

          Ф = (x- 3.6) r

Now, let's compute

          Ф = (3.7 -3.6) 0.16

          Ф = 0.016 N / C m

     

b) Using Gauss's law, we have

             q_{int} = Ф ε₀

 

Where the flow is present on both sides, at the face corresponding to x = 0, the flow is zero

             q_{int} = 0.016 8.85 10⁻¹²

             q_{int} = 0.14 10⁻¹² C

6 0
1 month ago
Other questions:
  • A magnetron in a microwave oven emits electromagnetic waves with a frequency f-2450 MHz. What magnetic field strength is require
    13·1 answer
  • To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of th
    10·1 answer
  • Which model is used to describe the interaction of external forces that affect an organization's strategy and ability to compete
    13·1 answer
  • f a car is speeding down a road at 40 miles/hour (mph), how long is the stopping distance D40 compared to the stopping distance
    6·1 answer
  • A water-skier with weight Fg = mg moves to the right with acceleration a. A horizontal tension force T is exerted on the skier b
    8·1 answer
  • 3.113 A heat pump is under consideration for heating a research station located on Antarctica ice shelf. The interior of the sta
    9·1 answer
  • A sculptor has asked you to help electroplate gold onto a brass statue. You know that the charge carriers in the ionic solution
    11·1 answer
  • The light waves have that particular interference from question #1 because they are emitted _____.
    9·2 answers
  • Weddell seals make holes in sea ice so that they can swim down to forage on the ocean floor below. Measurements for one seal sho
    11·1 answer
  • Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In addition to their downward
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!