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
Alex73 [517]
3 years ago
15

Having landed on a newly discovered planet, an astronaut sets up a simple pendulum of length 1.25 m and finds that it makes 419

complete oscillations in 1230 s. The amplitude of the oscillations is very small compared to the pendulum’s length. What is the gravitational acceleration on the surface of this planet?
Physics
2 answers:
Vadim26 [7]3 years ago
7 0
There's a mistake in this solution. The linear frequency should be 419/1230 = 0.34065, not 419/60 = 6.98.
Zina [86]3 years ago
6 0

Answer:

g=2406.8m/s^{2}

Explanation:

firstly we have to find the frequency and then the angular frequency.

The frequency will be:

   f=\frac{419}{60} \\f=6.98Hz

The angular frequency is:

ω=2\pi f

ω=2*\frac{22}{7} *6.98

ω=43.88rad /sec

Now we can apply simple pendulum relationship

ω=\sqrt{\frac{g}{l} }

make g the subject of the formula

g=w^{2} l\\g=43.88^{2} *1.25\\g=2406.8m/s^{2}

You might be interested in
Which of the following best describe a generator ?
zlopas [31]
<span>an apparatus for producing gas, steam, or another product. here is what it means sorry if i couldn't help. </span>
3 0
3 years ago
Read 2 more answers
Two engineering students, John with a weight of 96 kg and Mary with a weight of 48 kg, are 30 m apart. Suppose each has a 0.04%
djyliett [7]

Answer:

6.8370869499\times 10^{20}\ N

Explanation:

N_A = Avogadro's number = 6.022\times 10^{23}

e = Charge of electron = 1.6\times 10^{-19}\ C

k = Coulomb constant = 8.99\times 10^{9}\ Nm^2/C^2

Z = Atomic number of water = 18

M = Molar mass of water = 0.018 kg/mol

m = Mass of person

The charge is given by

q=imbalance\times n\times e

Total number of protons and electrons in each sphere

n=\dfrac{mN_AZe}{M}

q=imbalance\times \dfrac{mN_AZe}{M}

q_1=0.0004\times \dfrac{96\times 6.022\times 10^{23}\times 18\times 1.6\times 10^{-19}}{0.018}\\\Rightarrow q_1=3699916.8\ C

q_2=0.0004\times \dfrac{48\times 6.022\times 10^{23}\times 18\times 1.6\times 10^{-19}}{0.018}\\\Rightarrow q_1=1849958.4\ C

Electrical force is given by

F=\dfrac{kq_1q_2}{r^2}\\\Rightarrow F=\dfrac{8.99\times 10^{9}\times 3699916.8\times 1849958.4}{30^2}\\\Rightarrow F=6.8370869499\times 10^{20}\ N

The electrostatic force of attraction between them is 6.8370869499\times 10^{20}\ N

4 0
3 years ago
3. A 900N mountain climber scales a
Umnica [9.8K]

Answer:

<h2>135,000 J</h2>

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 900 × 150

We have the final answer as

<h3>135,000 J</h3>

Hope this helps you

4 0
2 years ago
Explain the importance of measurement<br>Physics.<br><br>​
KiRa [710]

Answer:

Measurements are an important part of comparing things, as they provide the basis on comparing objects to other objects. Measurements allow us to recognize three hours and see how it's shorter than five hours, without having to observe the hours passing by themselves.

7 0
3 years ago
A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the elbow joint as well as other mov
Brums [2.3K]

Answer: 330.88 J

Explanation:

Given

Linear velocity of the ball, v = 17.1 m/s

Distance from the joint, d = 0.47 m

Moment of inertia, I = 0.5 kgm²

The rotational kinetic energy, KE(rot) of an object is given by

KE(rot) = 1/2Iw²

Also, the angular velocity is given

w = v/r

Firstly, we calculate the angular velocity. Since it's needed in calculating the Kinetic Energy

w = v/r

w = 17.1 / 0.47

w = 36.38 rad/s

Now, substituting the value of w, with the already given value of I in the equation, we have

KE(rot) = 1/2Iw²

KE(rot) = 1/2 * 0.5 * 36.38²

KE(rot) = 0.25 * 1323.5

KE(rot) = 330.88 J

6 0
3 years ago
Other questions:
  • Describe a technology used in space exploration.
    14·1 answer
  • Julian is having trouble coping with stress and setting goals. What is he most likely struggling with?
    12·2 answers
  • Light from a laser of wavelength λ1 shines normally on a pair of narrow slits separated by distance D. This results in a differe
    15·1 answer
  • Laurie is moving a dresser with a mass of 250 kg. She does 126 J of work with a force if 14 N. How far does she move the dresser
    12·2 answers
  • An object is electrically charged if the amounts of positive and negative charge it contains are not _______.
    7·2 answers
  • a) When we were examining the Electromagnetic Tab, we saw that a flow of electrons or a current as we say it, creates a magnetic
    15·1 answer
  • Science fair ideas??? please help
    7·2 answers
  • What connects space and time in our Universe?
    9·1 answer
  • What is the kinetic energy of a 478 kg object that is moving with the speed of 15 m/s
    11·1 answer
  • Discuss what it means to view a moving objectt from a frame of reference. Supply an example that illustrates your explanation.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!