Which of the objects below has the greatest acceleration? *
1 answer:
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Answer:
p = 10 kg-m/s
Explanation:
Given that,
Mass of ball 1, m₁ = 2 kg
Speed of ball 1, u₁ = 3i m/s (due East)
Mass of ball 2, m₂ = 4 kg
Speed of ball 2, u₂ = 2j m/s (due North)
We need to find the magnitude of the momentum of this system just after the collision. As we have seen that two balls are moving perpendicular to each other.
Momentum of ball 1, p₁ = m₁u₁
p₁ = 2× 3 = 6 kg-m/s (due east)
Momentum of ball 2, p₂ = m₂u₂
p₂ = 4× 2 = 8 kg-m/s (due north)
Net momentum is given by :
So, the magnitude of the momentum of this system just after the collision is 10 kg-m/s.
Answer:
x = 3.76 cm
y = 3.76 cm
Explanation:
This composite shape can be modeled as a square (7.2 cm × 7.2 cm) minus a quarter circle in the lower left corner (3.6 cm radius) and a right triangle in the upper right corner (3.6 cm × 3.6 cm).
The centroid of a square (or any rectangle) is at x = b/2 and y = h/2.
The centroid of a quarter circle is at x = y = 4r/(3π).
The centroid of a right triangle is at x = b/3 and y = h/3.
Build a table listing each shape, the coordinates of its centroid (x and y), and its area (A). Use negative areas for the shapes that are being subtracted.
Next, multiply each coordinate by the area (Ax and Ay), sum the results (∑Ax and ∑Ay), then divide by the total area (∑Ax / ∑A and ∑Ay / ∑A). The result will be the x and y coordinates of the center of mass.
See attached image.
