Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Live 1-1 coding classes to unleash the creator in your Child
a particle of mass m and charge q is subjected to combined action of gravity and a uniform horizontal electric field of strength E. it is projected from ground with speed v in the vertical plane parallel to the field at an angle N to the horizontal . what is the maximum distance the object can travel horizontally before striking ground.
Here, the horizontal component of initial velocity will be vcosq and vertical component of velocity will be vsinq. The horizontal distance travelled in time t will be x = (vcosq)t – ½ gt2 The vertical distance travelled in time t will be x = (vsinq)t – ½ gt2 so, we have x= (vcosq)(2vsinq/g) + ½ a(2vsinq/g)2 and for maximum horizontal range, we differentiate (1) w.r.t q dx/dq =cos2q+a/g sin2q =0 (or) Tan2q = –g/a = –g/QE/m = –mg/QE Thus, the maximum distance the object can travel horizontally before striking ground is – mg / QE Thanks & Regards, Vasantha Sivaraj, askIITians faculty
Here, the horizontal component of initial velocity will be vcosq and vertical component of velocity will be vsinq.
The horizontal distance travelled in time t will be
x = (vcosq)t – ½ gt2
The vertical distance travelled in time t will be
x = (vsinq)t – ½ gt2
so, we have
x= (vcosq)(2vsinq/g) + ½ a(2vsinq/g)2
and for maximum horizontal range, we differentiate (1) w.r.t q
dx/dq =cos2q+a/g sin2q =0
(or)
Tan2q = –g/a = –g/QE/m = –mg/QE
Thus, the maximum distance the object can travel horizontally before striking ground is
– mg / QE
Thanks & Regards,
Vasantha Sivaraj,
askIITians faculty
but the ans is wrong....i did it in the same way
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -