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Chapter 1: Q12DQ (page 424)

Does the escape speed for an object at the earth鈥檚 surface depend on the direction in which it is launched? Explain. Does your answer depend on whether or not you include the effects of air resistance?

Short Answer

Expert verified

The escape speed does not depend on the launching angle of an object.

The escape speed of an object depends on the effect of the air resistance.

Step by step solution

01

Significance of the escape speed

The escape speed is described as the minimum speed that is required for projecting a mass outside of the earth鈥檚 surface.

The concept of the escape speed gives the direction of the object.

02

Determination of the dependence of the escape speed with the direction

The escape speed is not dependent on the launch angle鈥檚 direction. Any type of angular momentum that is given at a specific planet鈥檚 radius can also be conserved with the help of a tangential velocity which significantly vanishes when the radius approaches the infinity.

Thus, the escape speed does not depend on the launching angle of an object.

03

Determination of the effects of the air resistance

The air resistance significantly affects the escape speed because the drag force mainly pulls out the spacecraft as it leaves the planet. Hence, the drag force helps the spacecraft to counter the effects of the resistance of the fluid.

Thus, the escape speed of an object depends on the effect of the air resistance.

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