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
netineya [11]
2 years ago
11

a particle of mass m sits at rest at x = 0. At time t = 0 a force given by F = Fe^(-t/T) is applied in the +x direction; F and T

are constants. When t = T the force is removed. At this instant when the force is removed, (a) what is the speed of the particle and (b) where is it?
Physics
1 answer:
wlad13 [49]2 years ago
4 0

Explanation:

Given:F=m\ddot{x}=Fe^{-\frac{t}{T}}

Solving for \ddot{x}:

\ddot{x}=\frac{F}{m}e^{-\sqrt{\frac{F}{m} } t}

where:

T=\sqrt{\frac{m}{F}}

Integrating to get \dot{x} with initial conditions \dot{x}(0)=0:

\dot{x}=\sqrt{\frac{F}{m}}-\sqrt{\frac{F}{m}} e^{-\sqrt{\frac{F}{m}} t}

Integrating to get x with initial conditions x(0) = 0:

x=-1+\sqrt{\frac{F}{m}} t+e^{-\sqrt{\frac{F}{m}}t}

When t=T:

x=-1+\sqrt{\frac{F}{m}}\sqrt{\frac{m}{F}}+e^{-\sqrt{\frac{F}{m}}\sqrt{\frac{m}{F}}}=\frac{1}{e}

\dot{x}=\sqrt{\frac{F}{m}}-\sqrt{\frac{F}{m}} e^{-\sqrt{\frac{F}{m}}\sqrt{\frac{m}{F}}}=\sqrt{\frac{F}{m}}(1-\frac{1}{e})

You might be interested in
Please help me with this question
ladessa [460]

Answer:

conduction

Explanation:

5 0
3 years ago
Read 2 more answers
Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determi
Talja [164]
The solution to the problem is as follows:

 <span>Average = 80 
So Sum = 80 * 5 = 400 
Mode = 88, so two results are 88 (if three results were 88, then the median would be 88). 
Three results are 81, 88, and 88. 
That leaves 143. We could still have one 81 score, so that leaves the lowest score as 62. 

Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 - 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. How many seconds will it take Greg to reach the ground? 
d = 144 - 16t2 
0 = 144 - 16t2 
16t^2=144 
t^2=9 
t=3</span>
3 0
3 years ago
there are 5 influencing factors that may affect participation rate in physical activity. can you name them?
Stella [2.4K]
Demographic Barriers, Occupation, Age, Obesity, <span>
Psychological Barriers</span>
6 0
3 years ago
Which one of the following statements about sulfuric acid is correct?
kherson [118]
The answer is C. Sulfuric Acid is dangerous to living organism

Direct contact with your skin and it will cause Chemical Burns , Direct contact with your eyes and it could cause a permanent Blindness.

This chemical also suck the water out of everything, so you can guess what will happen if it get into your body.


6 0
2 years ago
You drop a 20 Ton object and a
Alborosie

Explanation:

it dosent depend on the weights of the items. I'll reach the ground at same time taking as no air friction or restrictions.

i.e

v = u + gt

whte v is final velocity of the object

u is initial velocity of the object

g is acceleration due to gravity and

t is time. thanks

please if found helpful rate brainliest

7 0
1 year ago
Other questions:
  • Assume that when you stretch your torso vertically as much as you can, your center of mass is 1.0 m above the floor. The maximum
    8·1 answer
  • How would Newton's Three laws apply to a Ferris Wheel?
    10·1 answer
  • Which statement best describes the scientists who contributed to our current body of scientific knowledge
    12·1 answer
  • A girl delivering newspapers travels one block west then three blocks north then five blocks east. what is her resultant displac
    11·1 answer
  • Which one of the following is dimensional expressions speed?
    9·2 answers
  • . During an investigation on energy, Seth rolls marbles of four different masses down a ramp.
    7·2 answers
  • What are the answers to #1 and #2?
    15·1 answer
  • Can someone please help, ty!!<br> (Will mark brainliest)
    15·1 answer
  • Freeeeeeee points!!!
    13·2 answers
  • I WILLL MARK YOUUUUUUU HELPPPP
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!