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
LekaFEV [45]
3 years ago
6

A mass of 148 g stretches a spring 13 cm. The mass is set in motion from its equlibrium position with a downward velocity of 10

cm/s and no damping is applied.
(a) Determine the position u of the mass at any time t. Use 9.8 m/s as the acceleration due to gravity. Pay close attention to the units.
(b) When does the mass first return to its equilibrium position?
Physics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

u(t)=1.15 \sin (8.68t)cm

0.3619sec

Explanation:

Given that

Mass,m=148 g

Length,L=13 cm

Velocity,u'(0)=10 cm/s

We have to find the position u of the mass at any time t

We know that

\omega_0=\sqrt{\frac{g}{L}}\\\\=\sqrt{\frac{980}{13}}\\\\=8.68 rad/s

Where g=980 cm/s^2

u(t)=Acos8.68 t+Bsin 8.68t

u(0)=0

Substitute the value

A=0\\u'(t)=-8.68Asin8.68t+8.68 Bcos8.86 t

Substitute u'(0)=10

8.68B=10

B=\frac{10}{8.68}=1.15

Substitute the values

u(t)=1.15 \sin (8.68t)cm

Period =T = 2π/8.68

After half period

π/8.68 it returns to equilibruim

π/8.68 = 0.3619sec

You might be interested in
Also confused on this can someone please help??!
irga5000 [103]
The answer is 167 pounds.
7 0
2 years ago
A jet engine gets its thrust by taking in air, heating and compressing it, and
nadya68 [22]

Answer:

F=ma=20\ Kg\ 400\ m/s^2=8,000\ Nw

Explanation:

Thrust is known as a reaction force which appears when a system expels or accelerates mass in one specific direction. If we know the acceleration and the mass of the air expelled by the jet engine, we can compute the thrust .

The acceleration is calculated by using the dynamics formula

\displaystyle a=\frac{v_f-v_o}{t}

The values are  

v_f=500\ m/s,\ v_o=100\ m/s,\ t=1\ sec

\displaystyle a=\frac{500-100}{1}=400\ m/s^2

The thrust is

F=ma=20\ Kg\ 400\ m/s^2=8,000\ Nw

4 0
3 years ago
What happens when solar energy heats a body of water?
Nataliya [291]
Explanation: Evaporation happens when a liquid substance becomes a gas. When water is heated, it evaporates. The molecules move and vibrate so quickly that they escape into the atmosphere as molecules of water vapor (Dunn,1993).
6 0
3 years ago
Read 2 more answers
To determine if an object is in motion, you must use a __________. Question 1 options: Moving object Living thing Frame of Refer
Lubov Fominskaja [6]

Answer: moving object :)

Explanation:

8 0
2 years ago
The earth’s orbit around the sun is elliptical. What does this word mean?.
omeli [17]

Answer:

An elliptical orbit is the revolving of one object around another in an oval-shaped path called an ellipse. The planets in the solar system orbit the sun in elliptical orbits. Many satellites orbit the Earth in elliptical orbits as does the moon.

3 0
1 year ago
Other questions:
  • If you throw two bowling balls up, each with different mass, does the lightest one go the highest? Why(include the factor of dra
    7·1 answer
  • You venture out on a cold winter morning to warm up your vehicle. You have layers of cotton/polyester blend clothes on and from
    11·1 answer
  • Two satellites are in circular orbits around Earth. Satellite A has speed vA. Satellite B has an orbital radius nine times that
    12·1 answer
  • PLEASE HELP! Explain how energy travels outward from the core and is emitted from the Sun. Include what happens in each layer of
    12·2 answers
  • Two enery converrsation that take place when you warm a cup of cocoa in a microwave<br> Oven
    13·1 answer
  • The visible light spectrum ranges between
    15·2 answers
  • What is the correct order for the Lunar eclipse
    15·2 answers
  • Need this answer in 30 minutes, What volume of ice is created from 200 cm3 of water?
    8·2 answers
  • 3. Two fans blow at 5 ms^-1 in a easterly direction and 8ms^-1 in a Northerly
    6·1 answer
  • A golfer hits a ball and gives it an initial velocity of 40 m/s , at an angle of 30 degrees above the horizontal.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!