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
Mars2501 [29]
3 years ago
5

An object moves in one dimension according to the function x(t)=13at3, where a is a positive constant with units of ms3. During

this motion, a force F⃗ =−bv is exerted on the object, where v is the object’s velocity and b is a constant with units of kgs. Which of the following expressions will yield the amount of energy dissipated by this force during the time interval from t=0 and t=T ?
A− 19ba2T5
B− 15ba2T5
C− 13ba2T5
D− ba2T5
Physics
1 answer:
9966 [12]3 years ago
7 0

Answer:

B) 1/5 ba^2 T^5

Explanation:

The dissipated energy is given by the work done over the object by the force F=-bv. The work is given by the following formula:

dW=Fdx

you derivative the function f(x) and replace v by the derivative dx/dt you obtain:

v=\frac{dx}{dt}=at^2\\\\dx=at^2dt\\\\W=\int_0^{T} Fdx=-\int_0^Tvbdx=-\int_0^Tb(at^2)(at^2dt)\\\\W=-ba^2\frac{T^5}{5}=-\frac{1}{5}ba^2T^5

hence, the dissipated energy is 1/5 ba^2 T^5

You might be interested in
high school physics, no need detail explain, just give the answer, but you have to make sure thank you
andrey2020 [161]

Answer:

approximately 30 degrees

Explanation:

If it takes the cannonball 2 seconds to reach the maximum height, we can use the analysis of the vertical component of the velocity and the fact that the acceleration of gravity is the one acting opposite to this initial vertical component (v_y) of the velocity. We know as well that at the top of the trajectory, the vertical component of the velocity is zero, and then the movement starts going down in it trajectory. So, the final velocity for the first part of the ascending movement is zero, giving us the following equation for the velocity under an accelerated movement (with acceleration of gravity "g" acting):

v_f=v_i-a\,t\\v_f=v_y-g\,t\\0=v_y-9.8\,*\,2\\v_y=9.8\,*\,2=19.6 \frac{m}{s}

By knowing the vertical component of the initial velocity (19.6 m/s), and the actual magnitude of the total initial velocity (40 m/s), we can calculate what angle was the initial velocity vector forming above the horizontal. We use for such the fact that the sine of the angle relates the opposite side of a right angle triangle with the hypotenuse, and solve for the angle using the arcsin function:

sin(\theta)=\frac{opp}{hyp} \\sin(\theta)=\frac{19.6}{40}\\\theta=arcsin(\frac{19.6}{40})\\\theta=29.34^o

which tells us that the closer answer shown is 30^o

7 0
3 years ago
The wires in a household lamp cord are typically 3.5 mm apart center to center and carry equal currents in opposite directions.
zhuklara [117]

Explanation:

It is given that,

Distance between wires, d = 3.5 mm = 0.0035 m

Power of light bulb, P = 100 W

Potential difference, V = 120 V

(a) We need to find the force per unit length each wire of the cord exert on the other. It is given by :

\dfrac{F}{l}=\dfrac{\mu_o I^2}{2\pi r}

Power, P = V × I

I=\dfrac{P}{V}=\dfrac{100}{120}=0.83\ A

This gives, \dfrac{F}{l}=\dfrac{4\pi \times 10^{-7}\times (0.83)^2}{2\pi \times 0.0035}

\dfrac{F}{l}=0.0000393\ N/m

\dfrac{F}{l}=3.93\times 10^{-5}\ N/m

(b) Since, the two wires carry equal currents in opposite directions. So, teh force is repulsive.

(c) This force is negligible.

Hence, this is the required solution.

8 0
3 years ago
When calculating the net electrostatic force, a negative value indicates that the two charged objects involved __________.
DiKsa [7]

Answer:

B

Explanation:

The correct answer is B) have unlike charges. Since they are attracted to each other they have to be unlike

5 0
3 years ago
Which is an advantage of storing data digitally?
ra1l [238]

Answer:

D

Explanation:

Because I said so

5 0
3 years ago
Read 2 more answers
A voltage source provides ___________ required for electric current.
Gnoma [55]
Two terminal device which can maintain a fixed voltage. Hope this help I need more detail in your question this is all I can provide. :)
8 0
3 years ago
Other questions:
  • How do transformers work in electric power houses
    14·1 answer
  • Which characteristics describe the troposphere? Select two options.
    5·2 answers
  • I) A 100 W and 60 W bulb are joined in series and connected to the mains. Which bulb
    14·1 answer
  • Two balloons are charged with an identical quantity and type of charge: -4 nc They are held apart at a separation distance of 70
    8·1 answer
  • An 19-cm-long bicycle crank arm, with a pedal at one end, is attached to a 23-cm-diameter sprocket, the toothed disk around whic
    15·1 answer
  • If you push a shopping cart with all of your strength will it move faster if it's empty or full of items? Explain
    6·2 answers
  • 1. Two vectors have magnitudes 6 & 8 units, respectively. Find the maximum &
    10·1 answer
  • Please help with an explanation for 30 points even if u only do one (but with good explanation)
    14·1 answer
  • Hi! Can you guys help me on my Re-do test I don’t want to fail. Ten points plus Brainliest if all are correct. Thanks!
    15·2 answers
  • When a constant force acts on an object, what does the object's change in momentum depend upon?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!