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
Andrews [41]
3 years ago
14

A 2 kg object is given a displacement ∆~s = (5 m)ˆı + (3 m) ˆ + (−4 m) ˆk along a straight line. During the displacement, a con

stant force of F~ = (3 N)ˆı + (−1 N) ˆ + (7 N) ˆk acts on the object. Find the work done by F~ for this displacement.
Physics
1 answer:
nadya68 [22]3 years ago
8 0

Answer: 15Nm

Explanation:

Work is said to be done when a force cause a body to move through a distance. Mathematically,

Work = Force (F) × distance (s)

If F = F~ = (3 N)ˆı + (−1 N) ˆj + (7 N) ˆk

S = (5 m)ˆı + (3 m) ˆ + (−4 m) ˆk

According to vector notation,

i.I = j.j =k.k = 1

Multiplication of different component will give 'zero'

F×s = (3 N)ˆi × (5 m)ˆı

Work done = 15Nm

You might be interested in
What are two conductive materials separated by an insulator,and used to store electric potential energy?
jeka94
That's a not-bad description of a capacitor.
5 0
3 years ago
A proton, starting from rest, accelerates through a potential difference of 1.0 kV and then moves into a magnetic field of 0.040
Minchanka [31]

Answer:

r = 0.11 m

Explanation:

The radius of the proton's resulting orbit can be calculated equaling the force centripetal (Fc) with the Lorentz force (F_{B}), as follows:

F_{c} = F_{B} \rightarrow \frac{m*v^{2}}{r} = qvB (1)

<u>Where:</u>

<em>m: is the proton's mass =  1.67*10⁻²⁷ kg</em>

<em>v: is the proton's velocity</em>

<em>r: is the radius of the proton's orbit</em>

<em>q: is the proton charge = 1.6*10⁻¹⁹ C</em>

<em>B: is the magnetic field = 0.040 T </em>

Solving equation (1) for r, we have:

r = \frac{mv}{qB}   (2)

By conservation of energy, we can find the velocity of the proton:

K = U \rightarrow \frac{1}{2}mv^{2} = q*\Delta V   (3)

<u>Where:</u>

<em>K: is kinetic energy</em>

<em>U: is electrostatic potential energy</em>

<em>ΔV: is the potential difference = 1.0 kV </em>

Solving equation (3) for v, we have:

v = \sqrt{\frac{2q\Dela V}{m}} = \sqrt{\frac{2*1.6 \cdot 10^{-19} C*1.0 \cdot 10^{3} V}{1.67 \cdot 10^{-27} kg}} = 4.38 \cdot 10^{5} m/s  

Now, by introducing v into equation (2), we can find the radius of the proton's resulting orbit:

r = \frac{mv}{qB} = \frac{1.67 \cdot 10^{-27} kg*4.38 \cdot 10^{5} m/s}{1.6 \cdot 10^{-19} C*0.040 T} = 0.11 m

Therefore, the radius of the proton's resulting orbit is 0.11 m.

I hope it helps you!  

5 0
3 years ago
Compare the magnitude of the magnetic field at the center of a circular current loop of radius 30 mm with the magnitude of the m
NISA [10]

Answer:

Ratio of magnetic field will be \frac{B}{B'}=0.0055

Explanation:

We have given radius of the loop r = 30 mm = 0.03 m

We know that magnetic field at the center of the loop is given by

B=\frac{\mu _0i}{2r}---------eqn 1

Number of turns in the solenoid is given as n = 3 turn per mm = 3000 turn per meter

We know that magnetic field due to solenoid is given by

B'=n\mu _0i-------------eqn 2

Now dividing eqn 1 by eqn 2

\frac{B}{B'}=\frac{\frac{\mu _0i}{2r}}{\mu _0ni}=\frac{1}{2nr}=\frac{1}{2\times 3000\times 0.03}=0.0055

4 0
3 years ago
Who will give me answer I will give you brainliest..... ​
kondaur [170]
1 . W=mass times acceleration due to gravity
60kg times 9.8m/s2
= 588N

2. W=mg
1176N=m times 9.8
m=120kg


3. 1 hour=3600s
24 hours=?
24 times 3600
= 86400 seconds


4. 1000g=1kg
25000g=?
25000 times 1 divide by 1000
=25kg



5. 1000000mg=1kg
123000000=?
123000000 times 1 divide by 1000000
=123 kg
7 0
2 years ago
A motorist traveling with a constant 15m/s passes a school crossing conner where the speed limit is 10m/s,just as a motorist pas
aleksklad [387]

Answer:

The answer is 5 seconds;

Explanation:

<h3>a) We know that the speed(V) is 15 m/s and acc. (a) is 3 m/s^2 </h3><h3>b) The formula for the acceleration is  a=\frac{V}{t};</h3><h3>Using this formula we can define the next equation:</h3><h3>3 =  \frac{15}{t} , where  t is the sought time. After solving the equation we get that t is 5; </h3><h3> </h3><h3></h3><h3></h3>
3 0
2 years ago
Other questions:
  • In a type of chemical reaction called thermal decomposition, heat is added to a substance, which then splits apart to form sever
    7·1 answer
  • A very slow motion of earth's axis that requires 26,000 years to complete is called ________.
    14·1 answer
  • Compare and contrast Earth to the other inner planets.
    10·2 answers
  • Why do windows have two panes of glass separated by a layer of air
    5·1 answer
  • Choose the correct answer to complete the thought. Someone who studies the physics of sound waves is a(an)______.
    12·1 answer
  • . A mass m is traveling at an initial speed of 25.0 m/s. It is brought to rest in a distance of 62.5 m by a net force of 15.0 N.
    10·1 answer
  • What happens when a proton is placed directly in the path of the proton cannon?
    9·1 answer
  • What is the overall voltage for a redox reaction with the half-reactions Mg(s) Mg2+ + 2e- and Cu2+ + 2e- Cu(s)?
    9·2 answers
  • What is the angle of incidence of a wave if its angle of reflection is 20 degrees?
    10·1 answer
  • which religious group did not expand their membership by great numbers during the Second Great Awakening
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!