Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

A muon (an elementary particle) is shot with initial speed 5.20 X 10 6 m/s into a region where an electric field produces an acceleration of 1.30 X 10 14 m/s? directed opposite to the initial velocity. How far does the muon travel before coming to rest?

A muon (an elementary particle) is shot with initial speed 5.20 X 106 m/s into a region where an electric field produces an acceleration of 1.30 X 1014 m/s? directed opposite to the initial velocity. How far does the muon travel before coming to rest?

Grade:upto college level

2 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
We assume that the motion is along the x direction only.
Given:
Initial speed of muon, v0x = 5.20 x 106.
Final speed of muon, vx = 0 m
Acceleration of muon, ax = -1.30 x 1014 m/s2.
It is important to note that the negative sign of the acceleration is due to the fact that the direction of the acceleration is opposite to that with the direction of initial velocity.
Let us assume that the time taken by the muon to come at rest, under the action of acceleration is given by t. Therefore the time t can be given as:

232-406_4.PNG
With initialcondition x0 = 0, xis given as:

232-1530_5.PNG
Substitute the given values to obtain the value of x as:

232-1307_6.PNG
Therefore the muon has gone 0.104 m from the starting point.
swadesh
11 Points
3 years ago
Work=  force*distance
distance=work/force
here work is nothing but the kinetic energy of moving muon in the initial direction. and force is mass times acceleration produced.
distance= (1/2*m*v​2​)/ma
 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free