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
andreyandreev [35.5K]
3 years ago
10

A small sphere is hung by a string from the ceiling of a van. When the van is stationary, the sphere hangs vertically. However,

when the van accelerates, the sphere swings backward so that the string makes an angle of θ with respect to the vertical. Find the acceleration of the van when θ = 13.0°.
Physics
1 answer:
Paraphin [41]3 years ago
3 0

Answer: 42.49 m/s^{2}

Explanation:

To solve this, we need to keep in mind the following:

While the sphere hangs it is under the effect of gravity. It is creating a Angle of 90° taking the roof as a reference.

Gravity can be noted as a Acceleration Vector. The magnitud for Earth's Gravity is a constant: 9.81 m/s^{2}

The acceleration of the Van will affect the sphere also, but this accelaration will be on the X-axis and perpendicular to the gravity. Because this two vectors are taking action under the sphere they will create a angle. This angle can be measured as a relation of the two magnitudes.

Tangent (∅) = Opossite Side / Adyacent Side

By trigonometry, we know the previous formula. This formula allows us to find the Tangent of a angle as a relation between the two perpendiculars magnitudes. In this case the Opossite Side will be the Gravity Accelaration, while the Adyancent Side is the Van's Acceleration.

(1)  Tangent (∅) = Gravity's Acceleration (G) / Van's Acceleration (Va)        

Searching for the Va in (1)

Va = G/Tan(∅)

Where ∅ in this case is equal to 13.0°

Va = 9.81m/s^{2}  / Tan(13.0°)

Va = 42.49 m/s^{2}

The vans acceleration need to be 42.49 m/s^{2}  to create an angle of 13° with the Van's Roof

You might be interested in
Nuclear waste disposal is one of the largest issues with nuclear power. Cesium-137 is one of the high level waste products in an
vodomira [7]

Answer:

A sample of 5.2 mg  decays to .65 mg or to 1/8 of its original amount.

1/8 = 1/2 * 1/2 * 1/2 or 3 half-lives.

3 * 30.07 = 90 yrs for 5.2 mg to decay to .65 mg

You can get these other numbers similarly:

5.2 / .0102 = 510  requires about 9  half-lives which is 30 * 9 = 270 yrs

7 0
3 years ago
Please need help with ? Number 20
zubka84 [21]

I would put B

Hope this helps!

7 0
3 years ago
If a wave has a wavelength of 9 meters and a period of 0.006, what is the velocity of the wave?
lana66690 [7]

<u>Answer</u>

D. 1,500 m/s

<u>Explanation</u>

the wave equation states that,

V = λf

Where V ⇒ Velocity

λ ⇒ wavelength

f ⇒ Frequency

F = 1/T

Where T ⇒ period

F = 1/0.006

= 166.667

∴ V = 9 × 166.667

= 1,500 m/s

4 0
3 years ago
Read 2 more answers
A body moving with a velocity of 20 m/s begins to accelerate at 3 m/s2. How far does the body move in 5 seconds?
igor_vitrenko [27]
The answer is A

I hope that helped
4 0
3 years ago
Read 2 more answers
Im a freshman in highschool pls help
Vsevolod [243]
Well I can help you with some... 
1. The answer is 2 Hydrogen and 2 Oxygen
3. 4 Hydrogen and 2 Oxygen
4. 16 Hydrogen and 16 Oxygen
6. 2 H2O
7. 4 H2O is 4 Water Molecules while H8O4 is 1 molecule of H2O Trihydrate
7 0
2 years ago
Other questions:
  • An object travels along a straight, horizontal surface with an initial speed of 2 ms. The position of the object as a function o
    11·1 answer
  • g Suppose Howard is pulling a bucket of bricks up along the side of a building with a rope. The bricks have a mass of 20 kg and
    6·1 answer
  • A ranger in a national park is driving at 52 km/h when a deer jumps onto the road 87 m ahead of the vehicle. After a reaction ti
    10·1 answer
  • Which statement is true about an atom and an element?
    14·1 answer
  • What do you think we call this graphical representation based on your prior experience with electric fields and electric field l
    10·1 answer
  • A cylinder of compressed gas has a pressure of 488.2 kPa. The next day the cylinder of gas has a
    14·1 answer
  • The density of balsa wood is 0.170 g/cm3.  What is the mass if the volume is 12.0 mL?
    8·1 answer
  • A person throws a stone from the corner edge of a building. The stone's initial velocity is 28.0 m/s directed at 43.0° above the
    13·1 answer
  • A centrifuge is a device used to separate materials by their masses. A sample in a centrifuge is rotated at high speeds along a
    15·1 answer
  • A 6.50 meter high cylinder is filled with alcohol(density =806 kg/m^3). What is the pressure at the bottom of the cylinder?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!