a) Let"s usage the conservation of momentum, it method the adjust of inert in the device is equal to zero.

You are watching: A watermelon is blown into three pieces by a large firecracker

The inial total momentum is zero and the final full momentum is the amount of each bit momentum.

m(1) is the mass of the piece in x directionm(2) is the fixed of the piece in y directionm(3) is the mass of the piece in some direction v a angle with respect come -y.

But we recognize that

and also
and
, so we have actually the vectorial equation:

Now we can find the vector v₃ in regards to V.

Let"s uncover now the size of this vector:

b) We simply need to replace V in the over equation;

c) The vector velocity of the bit 3 is in ax of components, x, and also y. Therefore we have the right to use tangent to discover the angle.

but we understand that Vx and Vy are the same so we have:

given,

watermelon blown into three pieces

two piece of massive m

both pieces speed = v = 31 m/s

mass of 3rd piece = 3 m

using conservation of mass

velocity of 3rd component

angle

Speed of larger piece is

Explanation:

We apply the rule of preservation of momentum.

The watermelon is at first at rest. The initial momentum = 0 kg m/s in all directions.

After the collision,

Vertical momentum = momentum of item in y-direction + y-component of inert of larger piece =

Here, is the y-component that velocity of bigger piece.

This is same to 0, because the initial inert is 0.

Horizontal momentum = momentum of piece in x-direction + x-component of inert of bigger piece =

Here, is the x-component that velocity of larger piece.

This is likewise equal come 0, because the initial inert is 0.

The velocity of the larger piece,

, is the result of and . Since they are mutually perpendicular,

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