Home
Class 12
PHYSICS
Two particles have equal masses of 5.0 g...

Two particles have equal masses of 5.0 g each and opposite charges of `+4.0 xx10^(-5) C.` They are released from rest with a separation of 1.0 m between them. Find the speeds of the particles when the separation is reducced to 50 cm.

Text Solution

Verified by Experts

Here, `m_(1) = m_(2) = 5.0g = 5xx10^(-3) kg`.
`r_(1) = 1.0 m, r_(2) = 50 cm = (1)/(2) m`
From symmetry , `v_(1) = v_(2) = v = ?` As increase in K.E. = loss in P.E, - initial P.E.
`:. 2xx(1)/(2) mv^(2) = (| q_(1)|| q_(2)|)/(4pi in_(0)) [(1)/(r_(2)) - (1)/(r_(1))]`
`5xx10^(-3) v^(2) = 9xx10^(9) (4xx10^(-5))^(2) [(1)/(1//2) - 1]`
`= 9xx16xx10^(-1) (2-1)`
`v^(2) = (1.44)/(5xx10^(-3)) = 2.88xx10^(3)`
`v = 53.7 m//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two charged particles having charges 1 and -1 mu C and of mass 50 g each are held at rest while their separation is 2 m . Now the charges are released. Find the speed of the particles when their separation is 1 m .

Two point charges q_(1) and q_(2) are released from rest in a gravity free hall when distance between them is a . Find the maximum speeds of charged particle. The mass of each charged particle is m .

Two particles, each having a mass of 5 gm and charge 1.0 × 10^(-7)C , stay in limiting equilirbium on a horizontal table with a separation of 10 cm between them. The coefficient of friction between each particle and the table is the same. Find the value of this coefficient.

Two particles, each having a mass of 5 g and charge. 1.0 xx 10^(-7) C, stay in limiting wquilibrium on a horizontal. table with a seaprtion of 10 cm between them. The coefficient of friction beteen each partcle and the table. is the same. Find the value of this coefficient.

In above question 1, find the speed of each speed of each particle, when the separation reduces to half its initial value

Two charged particles having charge 1 muC and -muC and of mass 50 gm each are held ar rest while their separtion is 2m . Find the relative velocity of the particles when their separation is 0.5m .

Two charged particles, having equal charges of 2.0xx 10^(-5) C each, are brought from infinity to within a separation of 10 cm. Find the increase in the electric potential energy during the process.

Two identical particles, each having a charge of 2.0xx10^(-4) C and then released. What would be the speeds of the particles when the separtion becomes large?

Two small bodies of masses 10 kg and 20 kg are kept a distnce 1.0 m apart and released. Assuming that only mutual gravitational force are acting, find the speeds of te particles when the separation decreases to 0.5 m.