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Jlenok [28]
3 years ago
12

A particle is being accelerated through space by a 10-N force. Suddenly the particle encounters a head-on second force of 10 N i

n the opposite direction. The particle with both forces acting on it_____________.
Physics
1 answer:
nikdorinn [45]3 years ago
3 0

The particle with both forces acting on it will move at constant velocity

Explanation:

We can solve this problem by applying Newton's second law of motion, which states that the net force acting on a body is equal to the product between its mass and its acceleration:

F=ma

where

F is the net force

m is the mass

a is the acceleration

For the particle in this problem, initially it has a forward force of

F_1 = 10 N

Later, it encounters a second additional force in the opposite direction, therefore

F_2 = -10 N

This means that the net force on the particle now is

F=F_1+F_2 = +10 +(-10) = 0

As a consequence, the acceleration of the particle is zero:

a=0

And this means that the particle moves with constant velocity.

Learn more about Newton's second law:

brainly.com/question/3820012

#LearnwithBrainly

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4 years ago
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3 years ago
A time-dependent but otherwise uniform magnetic field of magnitude B0(t) is confined in a cylindrical region of radius 6.5 cm. I
Papessa [141]

Answer:

The acceleration is   a = 3.45*10^{3} m/s^2

Explanation:

 From the question we are told that

         The radius is  d = 6.5 cm = \frac{6.5}{100} = 0.065 m

           The magnitude of the magnetic field is  B = 5.5 T

           The rate at which it decreases is  \frac{dB}{dt}  = 24.5G/s = 24.5*10^{-4} T/s

             The distance from the center of field is  r = 1.5 cm = \frac{1.5}{100} = 0.015m

  According to Faraday's law

          \epsilon = - \frac{d \o}{dt}

and   \epsilon = \int\limits  {E} \, dl

 Where  the magnetic flux \o = B* A

             E is the electric field  

             dl is a unit length

 So

         \int\limits  {E} \, dl = - \frac{d}{dt} (B*A)

         {E}  l = - \frac{d}{dt} (B*A)

Now l is the circumference of the circular loop formed by the magnetic field and it mathematically represented as  l = 2\pi r

A is the area  of the circular loop formed by the magnetic field and it mathematically represented as  A= \pi r^2

So

    {E}  (2 \pi r)= -  \pi r^2 \frac{dB}{dt}

    E = \frac{r}{2} [ - \frac{db}{dt} ]  

Substituting values  

    E = \frac{0.015}{2} (24*10^{-4})

         E = 3.6*10^{-5} V/m

The negative signify the negative which is counterclockwise

 

  The force acting on the proton is mathematically represented as

                       F_p = ma

        Also       F_p = q E

So

           ma = qE

 Where m is the mass of the the proton which has a value of  m = 1.67 *10^{-27} kg

 q = 1.602 *10^{-19} C

     So

            a =\frac{1.60 *10^{-19} *(3.6 *10^{-5}) }{1.67 *10^{-27}}

               a = 3.45*10^{3} m/s^2

                   

     

               

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