About 50,000 years ago, a meteor crashed into the earth near present-day Flagstaff, Arizona. Some estimates suggest this meteor had a mass of about 1.4×10⁸ kg and released 1×10¹⁶ J of energy when it slammed into the Earth. Calculate the approximate speed of this meteor before impact.

The gravitational attraction between two objects with massesmᴀ and mᴃ, separated by distance 𝓍, is F = Gmᴀmᴃ/𝓍², where Gis the gravitational constant.(b) If one mass is much greater than the other, the larger mass stays essentially at rest while the smaller mass moves toward it. Suppose a 1.5 x 10¹³ kg comet is passing the orbit of Mars, heading straight for the sun at a speed of 3.5 x 10⁴ m/s. What will its speed be when it crosses the orbit of Mercury? Astronomical data are given in the tables at the back of the book, and G = 6.67 x 10 ¯¹¹ Nm²/kg² ..

CALC An object moving in the xy-plane is subjected to the force F(arrow on top) =(2xy î+x² ĵ) N, where x and y are in m.c. Is this a conservative force?

CALC An object moving in the xy-plane is subjected to the force F(arrow on top) =(2xy î+x² ĵ) N, where x and y are in m.a. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x -axis to (a, 0) , then parallel to the y -axis. How much work does the force do?

A particle with mass m and velocity v has kinetic energy K. What is the kinetic energy of a particle with mass m/2 and velocity 2v?

Block A has mass $20\mathrm{kg}$ and block B has mass $50\mathrm{kg}$. Starting from rest, the two blocks are pushed by identical forces through a distance of $10\mathrm{m}$. Which block (if either) is going faster at end of the $10\mathrm{m}$? Which block (if either) has the greatest kinetic energy at the end of the $10\mathrm{m}$?

What is the kinetic energy of a $500\mathrm{kg}$ car traveling at $27\mathrm{m}/\mathrm{s}$ (about $60\mathrm{mph}$)?