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(b) A 40.0 kg body is moving through space in the positive direction of an x axis with a speed of 400 m/s when, due to an internal explosion, it breaks into five parts. One part, with a mass of 10.0 kg, moves away from the point of explosion with a speed of 100 m/s in the positive y direction. A second part, with a mass of 6.00 kg, moves in the negative x direction with a speed of 600 m/s. A third part, with a mass of 7.00 kg, moves in the positive x direction with a speed of 300 m/s. A fourth part with a mass of 8.0 kg, moves away from the point of explosion with a speed of 200 m/s in the negative y direction. (a) In unit-vector notation, what is the velocity of the fifth part? (b) How much energy is released in the explosion? Ignore effects due to the gravitational force.

(b) A 40.0 kg body is moving through space in the positive direction of an x axis with a speed of 400 m/s when, due to an internal explosion, it breaks into five parts. One part, with a mass of 10.0 kg, moves away from the point of explosion with a speed of 100 m/s in the positive y direction. A second part, with a mass of 6.00 kg, moves in the negative x direction with a speed of 600 m/s. A third part, with a mass of 7.00 kg, moves in the positive x direction with a speed of 300 m/s. A fourth part with a mass of 8.0 kg, moves away from the point of explosion with a speed of 200 m/s in the negative y direction. (a) In unit-vector notation, what is the velocity of the fifth part? (b) How much energy is released in the explosion? Ignore effects due to the gravitational force.

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(b) A 40.0 kg body is moving through space in the positive direction of an x axis with a speed of 400 m/s when, due to an internal explosion, it breaks into five parts. One part, with a mass of 10.0 kg, moves away from the point of explosion with a speed of 100 m/s in the positive y direction. A second part, with a mass of 6.00 kg, moves in the negative x direction with a speed of 600 m/s. A third part, with a mass of 7.00 kg, moves in the positive x direction with a speed of 300 m/s. A fourth part with a mass of 8.0 kg, moves away from the point of explosion with a speed of 200 m/s in the negative y direction. (a) In unit-vector notation, what is the velocity of the fifth part? (b) How much energy is released in the explosion? Ignore effects due to the gravitational force.
Transcribed Image Text:(b) A 40.0 kg body is moving through space in the positive direction of an x axis with a speed of 400 m/s when, due to an internal explosion, it breaks into five parts. One part, with a mass of 10.0 kg, moves away from the point of explosion with a speed of 100 m/s in the positive y direction. A second part, with a mass of 6.00 kg, moves in the negative x direction with a speed of 600 m/s. A third part, with a mass of 7.00 kg, moves in the positive x direction with a speed of 300 m/s. A fourth part with a mass of 8.0 kg, moves away from the point of explosion with a speed of 200 m/s in the negative y direction. (a) In unit-vector notation, what is the velocity of the fifth part? (b) How much energy is released in the explosion? Ignore effects due to the gravitational force.
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