/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.43 - Excercises And Problems A projectile is shot straight up... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q.43 - Excercises And Problems (page 355)

A projectile is shot straight up from the earth鈥檚 surface at a speed of 10,000km/h. How high does it go?

Short Answer

Expert verified

Height of the projectile335665.44m

Step by step solution

01

Given information

speed of the projectilev=10,000km/h

Gravitational constant G=6.673脳10-11Nm2/kg2,

Mass of the earth M=5.9742脳1024kg

Radius of earthr=6378100m

02

Explanation

Naturally we assume that 10000km/hris initial velocity (same as being shot from a cannon), and no air resistance. With so high a velocity, the effect of diminishing gravity with increasing radius must be taken into account, so you use an energy solution. Mis earth mass,ris earth radius.

KEm=1210000脳100036002=3858025J/kg鈭�PEm=PEatheight-PEatsurfacem=-GM(r+h)+GMr

On net energy in equilirbium,

KEm=鈭�PEmKEm-GMr=-GM(r+h)h=-GMKEm-GMr-r=335665.44m

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A 4000kglunar lander is in orbit 50kmabove the surface of the moon. It needs to move out to a 300kmhigh orbit in order to link up with the mother ship that will take the astronauts home. How much work must the thrusters do?

In 2014, the European Space Agency placed a satellite in orbit around comet 67P/Churyumov-Gerasimenko and then landed a probe on the surface. The actual orbit was elliptical, but we鈥檒l approximate it as a 50-km-diameter circular orbit with a period of 11 days.
a. What was the satellite鈥檚 orbital speed around the comet? (Both the comet and the satellite are orbiting the sun at a much higher speed.)

b. What is the mass of the comet?
c. The lander was pushed from the satellite, toward the comet, at a speed of 70 cm/s, and it then fell鈥攖aking about 7 hours鈥攖o the surface. What was its landing speed? The comet鈥檚 shape is
irregular, but on average it has a diameter of 3.6 km.

Why is the gravitational potential energy of two masses negative? Note that saying 鈥渂ecause that鈥檚 what the equation gives鈥� is not an explanation.

In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1脳1016kgand a radius of 8.8km.

a. What is the speed of a satellite orbiting 5kmabove the surface?

b. What is the escape speed from the asteroid?

A proposed space elevator would consist of a cable stretching from the earth鈥檚 surface to a satellite, orbiting far in space, that would keep the cable taut. A motorized climber could slowly carry rockets to the top, where they could be launched away from the earth using much less energy. What would be the escape speed for a craft launched from a space elevator at a height of 36,000km? Ignore the earth鈥檚 rotation.
See all solutions

Recommended explanations on Physics Textbooks

Oscillations

Read Explanation

Kinematics Physics

Read Explanation

Fluids

Read Explanation

Physics of Motion

Read Explanation

Electricity

Read Explanation

Measurements

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.