Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

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
Aiswarya Ram Gupta Grade: 12
`        An object of mass 5kg is projected with a velocity of 20m/s at an angle of 60o to the horizontal.At the highest point of its path the projectile explodes and breaks up into two fragments of masses 1kg and 4kg. The fragments seperate horizontally after the exposion.The explosion releases internal energy such that the kinetic energy of the system at the highest point is doubled. calculate the seperation between the two fragments when they reach the ground(g=10m/s2).???`
6 years ago

## Answers : (2)

510 Points
```										initial velocity = 20m/s
@ of projection = 60o
velocity at highest point = ucos@ = u/2 = 10m/s
v= 10
since the system explodes due to internal forces do momentam will remain conserved ...
Pi = Pf             ..........1
Pi = Mv = 5(10)  = 50     ............2
finally after explosion both particle are moving in horizontally , let v1 , v2 are the velocity
of particles of mass 1kg & 4kg respectively ...
final momentam (Pf) = v1 + 4v2      ...............3
momentam is conserved so from eq 1
v1 + 4v2 = 50         ...........4
it is given that after explosion KE of particle is doubled
(KE)f = 2(KE)i ( ke before explosion)
(KE)i = Mv2/2 = 5(10)2/2 = 250J   so
(KE)f = 500 j =(v12 + 4v22)/2        ...............5
solving 4 & 5 we get v
v1 ,v2 = (-10,15)
now time taken by particle to reach the highest point = T/2 = usin@/g   =  time taken by particle to reach to ground
distance covered by both particles = d = (speed)(time)
taking g = 10m/s2
d1 = v1t = 10(usin@)/g = usin@                        (distance  covered by particle 1)
d2  = v2t  = 15(usin@)/g  = 1.5usin@                 (distance covered vy particle 2)
total distance bw particle when they reach the ground  = d1+d2 = 2.5usin@
d = 25root3 meters
=43.25m

```
6 years ago
Aiswarya Ram Gupta
35 Points
```										thnku
```
6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

## Other Related Questions on Mechanics

View all Questions »
• Complete Physics Course - Class 12
• OFFERED PRICE: Rs. 2,756
• View Details
• Complete Physics Course - Class 11
• OFFERED PRICE: Rs. 2,968
• View Details