A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 37 m/s. The third piece has three times the mass of the other two pieces. (a)  Write an expression for the speed of the larger piece, that is in terms of only the variable V. (b)  What is the numeric value for the speed of the larger piece, in meters per second? (c)  At what angle does the largest piece travel with respect to the -y axis, in degrees?

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Asked Nov 7, 2019
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A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 37 m/s. The third piece has three times the mass of the other two pieces.

 

(a)  Write an expression for the speed of the larger piece, that is in terms of only the variable V.

 

(b)  What is the numeric value for the speed of the larger piece, in meters per second?

 

(c)  At what angle does the largest piece travel with respect to the -y axis, in degrees?

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Expert Answer

Step 1

a)

Let the velocity of the 3 pieces be v1, v2, v3.

Write the law of conservation of momentum for this case.

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0 m mv m;v

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Step 2

Piece 1 and 2 has equal masses and the third piece has thrice the mass of other two pieces

Then,

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0 mvi m3mv (I) 3

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Step 3

b)

Substitute 37m/s fo...

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372 =17.44m/s

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