Verified Solution • 2025–26 Session moderate

Q7.7: NCERT Physics - Part 1 GRAVITATION 7.7 Solution: Does the escape speed of a body from the earth depend on (a)…

Does the escape speed of a body from the earth depend on (a) the mass of the body, (b) the location from where it is projected, (c) the direction of projection, (d) the height of the location from where the body is launched?

Step-by-Step Verified Solution

**Answer:** (a) No (b) No (c) No (d) Yes **Step-by-Step Explanation:** Escape speed is given by ve=2GM/rv_e = \sqrt{2GM/r}. (a) It does not depend on the mass of the body because mm cancels in the energy equation. (b) It does not depend on the location on the Earth's surface (assuming a spherical Earth) because all surface points have the same radial distance. (c) It does not depend on the direction of projection because the escape condition is purely energetic. (d) It depends on the height hh of the launch point because r=R+hr = R + h, and vev_e decreases as hh increases [citation:10][citation:15].

All Questions in this Chapter

Q7.1 Q7.2 Q7.3 Q7.4 Q7.5 Q7.6 Q7.7 Q7.8 Q7.9 Q7.10 Q7.11 Q7.12 Q7.13 Q7.14 Q7.15 Q7.16 Q7.17 Q7.18 Q7.19 Q7.20 Q7.21

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