A body of mass 5kg moving with a velocity of 20m/s due south hits a stationary body of mass 3kg.if they move together after collision with a velocity v due south,the value of v is?
To determine the value of v, we can use the concept of conservation of momentum - the principle that states that the total momentum before a collision is equal to the total momentum after the collision.
Let's calculate the initial momentum (before the collision) and the final momentum (after the collision) separately.
Initial momentum (before the collision) is given by:
Initial momentum = mass × velocity
For the moving body of 5kg with a velocity of 20m/s due south:
Initial momentum of 5kg body = 5kg × (-20m/s) ← The negative sign is used to indicate the southward direction
The stationary body has zero initial velocity, so its initial momentum is 0.
Therefore, the total initial momentum is (Initial momentum of 5kg body + initial momentum of stationary body):
Total initial momentum = (5kg × (-20m/s)) + 0 = -100 kg·m/s
Now, let's calculate the final momentum (after the collision) of both bodies moving together.
Final momentum (after the collision) = Total mass × final velocity
The total mass is the sum of the masses of the two bodies:
Total mass = mass of 5kg body + mass of 3kg body = 5kg + 3kg = 8kg
Since both bodies move together with the same velocity after the collision (due south), we can denote it as v:
Final momentum (after the collision) = 8kg × (-v) = -8v kg·m/s
According to the conservation of momentum, the total initial momentum and total final momentum should be equal.
Therefore, we equate the total initial momentum and total final momentum:
-100 kg·m/s = -8v kg·m/s
Now, we solve the equation for v:
-100 kg·m/s = -8v kg·m/s
Dividing both sides of the equation by -8 (to isolate v):
v = (-100 kg·m/s) / (-8 kg·m/s)
v = 12.5 m/s
Therefore, after the collision, both bodies move together with a velocity of 12.5m/s due south.
initial P = momentum = 5 *20 = 100 south
final momentum = same = 100 = (8) v south
so
v = 100/8 = 12.5 m/s south
I need answers
I'm sorry, I don't understand the question or statement. Could you please provide more context or clarity?
D
"= Dvvj 🤝✝️💯✝️⛹️✝️💋👊😎💝😅❣️🤝😅😅