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
maw [93]
4 years ago
12

A 2.13-kg object on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 5.00 N

/m. The object is displaced 3.54 m to the right from its equilibrium position and then released, initiating simple harmonic motion. (a) What is the force (magnitude and direction) acting on the object 3.50 s after it is released
Physics
1 answer:
ANTONII [103]4 years ago
5 0

Answer:

17.54N in -x direction.

Explanation:

Amplitude (A) = 3.54m

Force constant (k) = 5N/m

Mass (m) = 2.13kg

Angular frequency ω = √(k/m)

ω = √(5/2.13)

ω = 1.53 rad/s

The force acting on the object F(t) = ?

F(t) = -mAω²cos(ωt)

F(t) = -2.13 * 3.54 * (1.53)² * cos (1.53 * 3.50)

F(t) = -17.65 * cos (5.355)

F(t) = -17.57N

The force is 17.57 in -x direction

You might be interested in
Mass Energy Equivalence<br> 1) Calculate the energy that 1.5 kg of mass contains
Eddi Din [679]

Answer:

E=mc^2=1.5*3*10^8=4.5*10^8 J

Explanation:

Plug your mass into E=mc^2. You know the value of c and m is already in SI Units

8 0
4 years ago
1. When human bones are brittle due to eating too much dairy food, what is this called?
Firdavs [7]

Answer:

1. Osteoporosis

2. Dehydration

3. Atherosclerosis

4. Aerobic exercise

5. Heart disease, obesity, diabetes and high blood pressure

6. Coronary heart disease, colorectal cancer, diabetes

Explanation:

1. Osteoporosis is the condition of the bones when they become easily fractured and less dense, such that injuries to the bones are likely to cause disability or pain

2. The bod becomes dehydrated in the event that there is insufficient water for proper functioning of the organs due to the loss of more water than the water that is taken in or absorbed.

3. Atherosclerosis is the building of plaque on the inside and outside of the walls of the arteries by cholesterol, fat, and other compounds in the blood often being taken as a problem or undesirable condition of the heart.

4. Processed foods are those that contain chemicals (that give them a good taste) in proportions that can cause illnesses

5. Taking large quantities of (red) meat such as burgers, or barbecued red meat,  can lead to type 2 diabetes, cancers and stroke

6 0
3 years ago
Suppose a soccer player kicks the ball from a distance 29 m toward the goal. find the initial speed of the ball if it just passe
Rudik [331]

The ball's vertical velocity at the time it just passes over the goal is 0 m/s. Its initial vertical velocity is unknown and we denote it by v\sin39^\circ, where v here is the ball's initial speed. Vertically, the only force acting on the ball is gravity, which attributes a downward acceleration of 9.8 m/s^2. We expect the maximum height achieved by the ball to be 2.4 m, so we can find the initial speed by solving

\left(0\,\dfrac{\mathrm m}{\mathrm s}\right)^2-\left(v\sin39^\circ\right)^2=2\left(-9.8\,\dfrac{\mathrm m}{\mathrm s^2}\right)(2.4\,\mathrm m)

\implies v=11\,\dfrac{\mathrm m}{\mathrm s}

6 0
3 years ago
A phone cord is 2.28 m long. The cord has a mass of 0.2 kg. A transverse wave pulse is produced by plucking one end of the taut
Debora [2.8K]

The characteristics of the speed of the traveling waves allows to find the result for the tension in the string is:  

         T = 10 N

The speed of a wave on a string is given by the relationship.

      v =\sqrt{\frac{T}{\mu } }

Where   v es the velocty, t is the tension ang μ is the lineal density.

They indicate that the length of the string is L = 2.28 m and the pulse makes 4 trips in a time of t = 0.849 s, since the speed of the pulse in the string is constant, we can use the uniform motion ratio, where the distance traveled e 4 L

           v = \frac{d}{t}  

           v = \frac{4 L}{t}  

           v = \frac{4 \ 2.28 }{0.849}  

            v = 10.7  m / s

Let's find the linear density of the string, which is the length of the mass divided by its mass.

            μ = \frac{m}{L}  

            \mu = \frac{0.2}{2.28}  

            μ = 8.77 10⁻² kg / m

The tension is:

        T = v² μ

Let's calculate

        T = 10.7²  8.77 10⁻²

        T = 1 0 N

In conclusion using the characteristics of the velocity of the traveling waves we can find the result for the tension in the string is:

         T = 10 N

Learn more here:  brainly.com/question/12545155

7 0
3 years ago
A water heater warms 35 l of water from a temperature of 22.7 c to a temperature of 83.7
fgiga [73]
The amount of energy needed to increase the temperature of a substance by \Delta T is given by
Q=m C_s \Delta T
where
m is the mass of the substance
C_s is its specific heat capacity
\Delta T is the increase in temperature

The water volume is V=35 L= 35 dm^3 = 0.035 m^3, since its density is d=1000 kg/m^3, the mass of this sample of water is
m=dV=(1000 kg/m^3)(0.035 m^3)=35 kg

The water specific heat capacity is C_s = 4.18 kJ/kg ^{\circ}C

and the increase in temperature is \Delta T=83.7 ^{\circ}C-22.7 ^{\circ}C=61^{\circ}C

Therefore, the amount of energy needed is
Q=mC_s \Delta T=(35 kg)(4.18 kJ/kg ^{\circ}C)(61^{\circ}C)=8924 kJ = 8.92 \cdot 10^6 J
8 0
4 years ago
Other questions:
  • Which of the following might you study in an ecology class?
    9·1 answer
  • What is a magnetosphere?
    14·1 answer
  • Why is science literacy important?
    8·1 answer
  • If an automobile engine delivers a power of 50.0 hp, how much time will it take for the engine to do 6.40 x 10^4 j of work? (1 h
    15·1 answer
  • A 47.0-g golf ball is driven from the tee with an initial speed of 54.0 m/s and rises to a height of 24.6 m. (a) neglect air res
    9·1 answer
  • If 1.00 kilograms of coal is burned, approximately 3.00 x 107 joules (J) of energy is released. How many tons of coal, when burn
    15·2 answers
  • Explain what major mistake producers made when editing the battle scenes for the movie Star Wars
    15·1 answer
  • HURRY PLEASE!!
    15·2 answers
  • A metal wire of resistance R is cut into eight equal pieces that are then placed together side by side to form a new cable with
    12·1 answer
  • An ant is crawling along a yardstick that is pointed with the O-inch mark to the east and the 36-Inch mark to the west. It start
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!