26-30 Answer all please. Just give the answer. No need for lengthy solutions or explanations.

[answerhappygod]

26-30
Answer all please. Just give the answer. No need for lengthy
solutions or explanations.

26 30 Answer All Please Just Give The Answer No Need For Lengthy Solutions Or Explanations 1 (249.27 KiB) Viewed 26 times

Question 26 The Lagrangian for a mechanical system is L = aq² + bq¹ where q is a generalized coordinate and a, b are constants. The equation of motion for this system is ä = =q³ 04-√√√er = q² 2bq³ q= 2bq³ Question 27 1 pts A BLOCK of mass 4 kg slides on a frictionless 4-kg WEDGE, which has an angle of 30 with respect to horizontal and moves on a frictionless horizontal floor. The whole motion is planar. What is the acceleration of the BLOCK relative to the wedge? 0 g/2 O g/4 Question 28 1 pts Suppose that the gravitational force law between two massive objects were Gm₁m₂ F12 = 12 2+6 ¹12 where € is a small positive number. Which of the following statements would be FALSE? A single planet could move in a stationary noncircular elliptical orbit about the Sun. The total mechanical energy of the planet-Sun system would be conserved. A single planet could move in a stationary circular orbit about the Sun. The periods of planets in circular orbits would be proportional to the (3 + €)/2 power of their respective orbital radii. The angular momentum of a single planet moving about the Sun would be conserved. 2g/5 9 4g/5 -————* 1 pts

Question 29 1 pts When it is about the same distance from the Sun as is Jupiter, a spacecraft on a mission to the outer planets has a speed that is 1.5 times the speed of Jupiter in its orbit. Which of the following describes the orbit of the spacecraft about the Sun? Parabola Ellipse Circle Hyperbola Spiral Question 30 1 pts A particle of mass m moves in a one-dimensional potential V(x) = −ax² + bxª, where a and b are positive constants. The angular frequency of small oscillations about the minima of the potential is equal to a OT√√ 26 a OR √ TE O√ 2m a 02√ a mb