All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 9 Exam  >  Class 9 Questions  >   Direction: 75 kg missile is dropped downward... Start Learning for Free
SaveJoin the Discussion on the App
Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:
(a) The K.E. possessed by the missile at 850 m.
(b) The P.E. possessed by the missile at 850 m.
(c) The total mechanical energy possessed by the missile.
(d) The K.E. and velocity with which it strikes the ground.
Q. The total mechanical energy possessed by the missile.
  • a)
    77250 J
  • b)
    7725000 J
  • c)
    772500 J
  • d)
    775200 J
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
Direction: 75 kg missile is dropped downwards from an air plane, and ...
Total mechanical energy of the missile = K.E. + P.E.
= 135000 + 637500 = 7.7 × 105J = 772500 J.
View all questions of this test
Most Upvoted Answer
Direction: 75 kg missile is dropped downwards from an air plane, and ...
To solve this problem, we need to use the formulas for kinetic energy (KE) and potential energy (PE), as well as the concept of mechanical energy.

(a) The kinetic energy possessed by the missile at 850 m can be determined using the formula: KE = 0.5 * m * v^2, where m is the mass of the missile and v is its velocity. Given that the mass of the missile is 75 kg and its velocity is 60 m/s, we can calculate the kinetic energy as follows:

KE = 0.5 * 75 kg * (60 m/s)^2
= 0.5 * 75 kg * 3600 m^2/s^2
= 0.5 * 270000 kg m^2/s^2
= 135000 J

Therefore, the kinetic energy possessed by the missile at 850 m is 135000 J.

(b) The potential energy possessed by the missile at 850 m can be determined using the formula: PE = m * g * h, where m is the mass of the missile, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height above the ground. Given that the mass of the missile is 75 kg and the height above the ground is 850 m, we can calculate the potential energy as follows:

PE = 75 kg * 9.8 m/s^2 * 850 m
= 637500 J

Therefore, the potential energy possessed by the missile at 850 m is 637500 J.

(c) The total mechanical energy possessed by the missile is the sum of its kinetic energy and potential energy at 850 m. Therefore, the total mechanical energy is:

Total mechanical energy = KE + PE
= 135000 J + 637500 J
= 772500 J

Therefore, the total mechanical energy possessed by the missile is 772500 J.

(d) The kinetic energy and velocity with which the missile strikes the ground can be determined using the principle of conservation of mechanical energy. Since there is no change in the potential energy of the missile between 850 m and the ground, the decrease in potential energy is equal to the increase in kinetic energy. Therefore, the kinetic energy with which the missile strikes the ground is 637500 J.

To find the velocity, we can use the equation KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the missile, and v is the velocity. Rearranging the equation, we have:

v^2 = (2 * KE) / m
v^2 = (2 * 637500 J) / 75 kg
v^2 = 17000 m^2/s^2

Taking the square root of both sides, we find:

v = √(17000 m^2/s^2)
≈ 130.39 m/s

Therefore, the kinetic energy and velocity with which the missile strikes the ground are approximately 637500 J and 130.39 m/s, respectively.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
< Previous Question Next Question >
Explore Courses for Class 9 exam

Similar Class 9 Doubts

Read the source given below and answer the questions that follow:There are six major controls of the climate of any place. They are: latitude, altitude, pressure and wind system, distance from the sea (continentality), ocean currents and relief features.Due to the curvature of the earth, the amount of solar energy received varies according to latitude. As a result, air temperature generally decreases from the equator towards the poles. As one goes from the surface of the earth to higher altitudes, the atmosphere becomes less dense and temperature decreases. The hills are therefore cooler during summers. The pressure and wind system of any area depend on the latitude and altitude of the place. Thus, it influences the temperature and rainfall pattern. The sea exerts a moderating influence on climate: As the distance from the sea increases, its moderating influence decreases and the people experience extreme weather conditions. This condition is known as continentality (i.e., very hot during summers and very cold during winters). Ocean currents along with onshore winds affect the climate of the coastal areas. For example, any coastal area with warm or cold currents flowing past it, will be warmed or cooled if the winds are onshore.Finally, relief too plays a major role in determining the climate of a place. High mountains act as barriers for cold or hot winds, they may also cause precipitation if they are high enough and lie in the path of rain bearing winds. The Leeward side of the mountains remains relatively dry.Q. As one goes from the surface of the earth to higher altitudes, the _________ becomes less dense and temperature decreases.

Top Courses for Class 9View all

Top Courses for Class 9

Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer?
Question Description
Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Direction: 75 kg missile is dropped downwards from an air plane, and has a speed of 60 m/s at an altitude of 850 m above the ground. Determine:(a) The K.E. possessed by the missile at 850 m.(b) The P.E. possessed by the missile at 850 m.(c) The total mechanical energy possessed by the missile.(d) The K.E. and velocity with which it strikes the ground.Q. The total mechanical energy possessed by the missile.a)77250 Jb)7725000 Jc)772500 Jd)775200 JCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup