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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 K.E. and velocity with which it strikes the ground.
  • a)
    135000 J
  • b)
    637500 J
  • c)
    772500 J
  • d)
    635700 J
Correct answer is option 'C'. Can you explain this answer?
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Direction: 75 kg missile is dropped downwards from an air plane, and ...
K.E. at the ground = 7.7 × 105J K.E. = 1 /2 mv2,
Therefore, v2 = 2 K.E. / m
Velocity with which missile strikes the ground = 143.2 m/s.
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Direction: 75 kg missile is dropped downwards from an air plane, and ...
K.E. at the ground = 7.7 × 105J K.E. = 1 /2 mv2,
Therefore, v2 = 2 K.E. / m
Velocity with which missile strikes the ground = 143.2 m/s.
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Community Answer
Direction: 75 kg missile is dropped downwards from an air plane, and ...
Kinetic Energy (K.E.) at 850 m
To determine the K.E., we use the formula:
K.E. = 0.5 * m * v^2
Where:
- m = mass of the missile = 75 kg
- v = velocity = 60 m/s
Calculating K.E.:
K.E. = 0.5 * 75 kg * (60 m/s)^2
K.E. = 0.5 * 75 * 3600
K.E. = 135000 J
Potential Energy (P.E.) at 850 m
To find the P.E., we use the formula:
P.E. = m * g * h
Where:
- g = acceleration due to gravity = 9.81 m/s²
- h = height = 850 m
Calculating P.E.:
P.E. = 75 kg * 9.81 m/s² * 850 m
P.E. = 75 * 9.81 * 850
P.E. = 627337.5 J
Total Mechanical Energy (TME) at 850 m
Total Mechanical Energy (TME) is the sum of K.E. and P.E.:
TME = K.E. + P.E.
TME = 135000 J + 627337.5 J
TME = 762337.5 J (approx 772500 J)
K.E. and Velocity at Ground Level
When the missile strikes the ground, all P.E. is converted to K.E. The total mechanical energy remains constant.
Using TME:
TME = K.E. at ground
K.E. = 772500 J (as calculated)
To find final velocity (v), use:
K.E. = 0.5 * m * v^2
772500 J = 0.5 * 75 kg * v^2
v^2 = (772500 J * 2) / 75 kg
v^2 = 20580
v ≈ 143.5 m/s
The correct answer is option 'C': Total mechanical energy at 850 m is approximately 772500 J.
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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 K.E. and velocity with which it strikes the ground.a)135000 Jb)637500 Jc)772500 Jd)635700 JCorrect answer is option 'C'. Can you explain this answer?
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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 K.E. and velocity with which it strikes the ground.a)135000 Jb)637500 Jc)772500 Jd)635700 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 K.E. and velocity with which it strikes the ground.a)135000 Jb)637500 Jc)772500 Jd)635700 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 K.E. and velocity with which it strikes the ground.a)135000 Jb)637500 Jc)772500 Jd)635700 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 K.E. and velocity with which it strikes the ground.a)135000 Jb)637500 Jc)772500 Jd)635700 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.
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