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
Vaselesa [24]
3 years ago
14

A train has an acceleration of magnitude 0.90 m/s2 while stopping. A pendulum with a 0.55-kg bob is attached to a ceiling of one

of the cars. Determine the angle that the pendulum makes with the vertical during the decceleration of the train
Physics
1 answer:
anygoal [31]3 years ago
3 0

The angle of the pendulum with the vertical is 5.2^{\circ}

Explanation:

As the train decelerates, the bob of the pendulum will feel a force given by

F=ma

where

m = 0.55 kg is the mass of the bob

a=0.9 m/s^2 is the magnitude of the acceleration

In the horizontal direction.

The pendulum will be inclined at an angle \theta from the vertical, so it will be in equilibrium, and therefore the horizontal component of the tension in the string must be equal to the net force F of the previous equation:

T sin \theta = ma (1)

where T is the tension in the string.

We also know that the bob is in equilibrium along the vertical direction: so the vertical component of the tension must be equal to the weight of the bob,

T cos \theta = mg (2)

where g=9.8 m/s^2 is the acceleration of gravity.

Dividing eq.(1) by eq(2), we get:

tan \theta = \frac{a}{g}

And therefore, we find the angle:

\theta=tan^{-1}(\frac{a}{g})=tan^{-1}(\frac{0.90}{9.8})=5.2^{\circ}

Learn more about forces and acceleration:

brainly.com/question/11411375

brainly.com/question/1971321

brainly.com/question/2286502

brainly.com/question/2562700

#LearnwithBrainly

You might be interested in
Which color is in the middle of the light spectrum?
Elanso [62]
Well, with the light spectrum there technically is no middle color. Both green and yellow meet up in the middle at 560 nm (wavelength interval) and 540 THz (frequency interval).
3 0
3 years ago
What is the mechanical advantage of an inclined plane that has a length of 9 feet and a height of 3 feet?
Rainbow [258]

Answer:

it would be 3

Explanation:

because you have to divide the length by the height of the incline.

5 0
3 years ago
Read 2 more answers
The peak luminosity of a white dwarf supernova is around 1010 Lsun, and it remains brighter than 108 Lsun for about 150 days. In
Airida [17]

Answer:

Explanation: find the attached solution below

8 0
3 years ago
Consider the free-body diagram. If you want the box to move, the force applied while dragging must be greater than the
VLD [36.1K]

You would want it to be greater than D. friction force

It needs be greater than the friction applied to it.

6 0
3 years ago
NASA launches a probe with a mass of 15,000 kg to another planet more massive than Earth. Which statement is true about the prob
vivado [14]

Answer: The weight of the probe will increase.

8 0
2 years ago
Other questions:
  • A block slides from rest with negligible friction down the track above, descending a vertical height of 5.0 m to point P at the
    5·1 answer
  • Gasoline burns in the cylinder of an automobile engine. During the combustion reaction, the production of gas forces the piston
    10·1 answer
  • What is an effector strain of bacteria
    13·1 answer
  • If a car's mass is 439 kg, what is its weight on earth?
    7·1 answer
  • If a beaker of water is placed under a broiler so that the heating coil is above the beaker. It is observed that only the surfac
    7·1 answer
  • What is a small body that follows a highly elliptical orbit around the sun
    12·2 answers
  • Which of these experiments would make use of qualitative data?
    7·1 answer
  • Why cant people with aids foght out the infection?
    8·2 answers
  • When you cook a steak, what kind of energy do you increase in the steak?
    8·1 answer
  • ILL GIVE BRAILIST THING
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!