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When the distance between earth and sun is halved, the duration of year will become
By the principle of conservation of angular momentum, the orbital period ratio of two orbits is proportional to the ratio of their radii raised to the power of three-halves. For a new orbit with a radius reduced to half of the original, the ratio becomes (R₂/R₁)³/²= 1/2√2. Therefore, the new orbitalRead more
By the principle of conservation of angular momentum, the orbital period ratio of two orbits is proportional to the ratio of their radii raised to the power of three-halves. For a new orbit with a radius reduced to half of the original, the ratio becomes (R₂/R₁)³/²= 1/2√2. Therefore, the new orbital period is 1/2√2 x T₁, where T₁ is the original period. If the initial period is 1 year, the new period becomes \1/2√2 years. This reduction indicates that the duration of the year will decrease significantly.
By conservation of angular momentum,
See lessT₂/T₁ = (R₂/R₁)³/² = ((R₁/2)/R₁)³/² = 1/2√2
T₂ = 1/2√2 T₁ = 1/2√2 x 1 year = 1/2√2 year
Hence the duration of the year will become less.
The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous valiue, the new time period will. become
According to Kepler's law of periods, the square of the orbital period of a planet (T²) is directly proportional to the cube of the semi-major axis of its orbit (r³). This relationship can be expressed as the ratio of the periods and radii of two planets. For example, if one planet's radius is fourRead more
According to Kepler’s law of periods, the square of the orbital period of a planet (T²) is directly proportional to the cube of the semi-major axis of its orbit (r³). This relationship can be expressed as the ratio of the periods and radii of two planets. For example, if one planet’s radius is four times that of another, the ratio of their periods squared is equal to the ratio of their radii cubed. This leads to the conclusion that the period of the second planet is eight times longer than the first.
See lessThus, if the first period is 5 hours, the second period will be 40 hours.
According to Kepler’s law of periods,
T² ∝ r³
(T₂/T₁)² = (r₂/r₁)³ = (4/1)³ = 64
T₂ = 8T₁ = 8 x 5 = 40 h.
Explain the process of performing the floor touch stretch. How does it improve flexibility?
To perform the floor touch stretch, stand with feet shoulder-width apart and arms raised overhead. Lean forward, keeping the legs straight, and attempt to touch the floor with your hands. This stretch targets the hamstrings, lower back, and calves, improving flexibility and relieving tightness. It’sRead more
To perform the floor touch stretch, stand with feet shoulder-width apart and arms raised overhead. Lean forward, keeping the legs straight, and attempt to touch the floor with your hands. This stretch targets the hamstrings, lower back, and calves, improving flexibility and relieving tightness. It’s ideal for enhancing the range of motion in the posterior chain, reducing stiffness after prolonged sitting, and promoting better posture. Regular practice contributes to greater mobility and injury prevention.
See lessIn the Collaborate and Conquer game, what strategies can a team use to finish faster?
To finish faster in "Collaborate and Conquer," teams should divide tasks among players based on individual strengths. For example, agile players can handle cone arrangement, while strategic players guide placement. Clear communication prevents errors, ensuring efficient execution. Planning during thRead more
To finish faster in “Collaborate and Conquer,” teams should divide tasks among players based on individual strengths. For example, agile players can handle cone arrangement, while strategic players guide placement. Clear communication prevents errors, ensuring efficient execution. Planning during the discussion phase helps align efforts and minimizes overlap. This approach fosters teamwork and highlights how collective action achieves goals faster than individual performance, making it a valuable lesson in collaboration.
See lessHow does the Circle Time activity promote self-reflection and teamwork after games?
"Circle Time" offers a platform for players to share thoughts on their game performance, highlighting strengths, mistakes, and learning experiences. This promotes self-reflection, helping individuals understand their contributions and areas for improvement. Discussing as a group fosters better commuRead more
“Circle Time” offers a platform for players to share thoughts on their game performance, highlighting strengths, mistakes, and learning experiences. This promotes self-reflection, helping individuals understand their contributions and areas for improvement. Discussing as a group fosters better communication and teamwork, as players appreciate each other’s efforts and identify how to work together more effectively. This activity emphasizes collaboration and the value of collective learning, essential for success in sports and daily life.
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