7. a. State the Law of Conservation of Mon b. A stationary body of mass 3.60 kg explodes to form three unequal masses which move in three different directions. Two of the masses emerge at right angles, with speeds of 20.0 ms¹ and 40.0 ms¹ as shown in the diagram to the right. 40.0ms¹ m₁ = 1.20 kg i. Calculate the magnitudes of the momentum of each of fragments 1 and 2. 20.0ms¹ m₂ = 1.60 kg ii. Draw a labelled vector diagram relating the momenta of each of the three masses. iii. Use the diagram to calculate the magnitude and direction of the final velocity of the third mass. (Specify the direction relative to the direction of motion of mass 1) iv. Is it possible for any two of the masses in this example to emerge in opposite directions after the explosion? Explain. -IUS / 5. In a region of space where gravity is negligible, the ejection of particles can cause a spacecraft to change direction along a circular arc. The direction at which the particles are emitted at both point A and point B is shown on the diagram below. Direction of ejection at Point A B Direction of ejection at Point B On the diagram above, draw the direction of the force experienced by the spacecraft at Point A due to the ejection of the particles. Justify your answer using one of Newton's Laws.
7. a. State the Law of Conservation of Mon b. A stationary body of mass 3.60 kg explodes to form three unequal masses which move in three different directions. Two of the masses emerge at right angles, with speeds of 20.0 ms¹ and 40.0 ms¹ as shown in the diagram to the right. 40.0ms¹ m₁ = 1.20 kg i. Calculate the magnitudes of the momentum of each of fragments 1 and 2. 20.0ms¹ m₂ = 1.60 kg ii. Draw a labelled vector diagram relating the momenta of each of the three masses. iii. Use the diagram to calculate the magnitude and direction of the final velocity of the third mass. (Specify the direction relative to the direction of motion of mass 1) iv. Is it possible for any two of the masses in this example to emerge in opposite directions after the explosion? Explain. -IUS / 5. In a region of space where gravity is negligible, the ejection of particles can cause a spacecraft to change direction along a circular arc. The direction at which the particles are emitted at both point A and point B is shown on the diagram below. Direction of ejection at Point A B Direction of ejection at Point B On the diagram above, draw the direction of the force experienced by the spacecraft at Point A due to the ejection of the particles. Justify your answer using one of Newton's Laws.
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:7.
a. State the Law of Conservation of Mon
b. A stationary body of mass 3.60 kg explodes to
form three unequal masses which move in three
different directions.
Two of the masses emerge at right angles, with
speeds of 20.0 ms¹ and 40.0 ms¹ as shown in
the diagram to the right.
40.0ms¹
m₁ = 1.20 kg
i. Calculate the magnitudes of the momentum of each of fragments 1 and 2.
20.0ms¹
m₂ = 1.60 kg
ii. Draw a labelled vector diagram relating the momenta of each of the three masses.
iii. Use the diagram to calculate the magnitude and direction of the final velocity of the third
mass. (Specify the direction relative to the direction of motion of mass 1)
iv. Is it possible for any two of the masses in this example to emerge in opposite directions
after the explosion? Explain.
-IUS /
Transcribed Image Text:5. In a region of space where gravity is negligible, the ejection of particles can cause a spacecraft to
change direction along a circular arc. The direction at which the particles are emitted at both point
A and point B is shown on the diagram below.
Direction of ejection at Point A
B
Direction of ejection at Point B
On the diagram above, draw the direction of the force experienced by the spacecraft at Point A
due to the ejection of the particles. Justify your answer using one of Newton's Laws.
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