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?

Question

Illustrate a physics scenario involving two spheres, one larger and one smaller, depicting motion and collision. The larger sphere, representing a 5kg body, is in motion, moving downward signifying due south. Its motion trail indicates high speed, showcasing a velocity of 20m/s. The smaller sphere, symbolizing a 3kg stationary body, lies directly below the traveling sphere, indicating that it is about to be collided with. After the collision, depict the spheres merged together, signifying their combined motion with an ungiven velocity, moving at a slower pace compared to the initial movement of the larger sphere. Ensure the image is clear, engaging, contains no text, and focuses on illustrating the physics principle effectively.

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?

Answer 1

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.

Answer 2

initial P = momentum = 5 *20 = 100 south

final momentum = same = 100 = (8) v south
so
v = 100/8 = 12.5 m/s south

Answer 3

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Answer 4

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Answer 5

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