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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. possessed by the missile at 850 m.
  • a)
    1350 J
  • b)
    135000 J
  • c)
    153000 J
  • d)
    1350 J
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Direction: 75 kg missile is dropped downwards from an air plane, and ...
Given
Mass of the missile, m = 75 kg and Speed, v = 60 m/s
Therefore, K.E. = 1/ 2 mv2 = 1 /2 × 75 × 60 × 60 = 13500 J.
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Direction: 75 kg missile is dropped downwards from an air plane, and ...
The kinetic energy (K.E.) possessed by the missile at 850 m can be determined using the formula:

K.E. = (1/2)mv^2

where m is the mass of the missile and v is its velocity.

Given:
Mass of the missile (m) = 75 kg
Velocity (v) = 60 m/s

(a) The K.E. possessed by the missile at 850 m is given by:
K.E. = (1/2)(75 kg)(60 m/s)^2
K.E. = (1/2)(75 kg)(3600 m^2/s^2)
K.E. = 0.5(75 kg)(3600 m^2/s^2)
K.E. = 135000 J

Therefore, the correct answer is option (b) 135000 J.

(b) The potential energy (P.E.) possessed by the missile at 850 m can be determined using the formula:

P.E. = mgh

where m is the mass of the missile, g is the acceleration due to gravity, and h is the height.

Given:
Mass of the missile (m) = 75 kg
Acceleration due to gravity (g) = 9.8 m/s^2
Height (h) = 850 m

P.E. = (75 kg)(9.8 m/s^2)(850 m)
P.E. = 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 at 850 m is the sum of its kinetic energy and potential energy:

Total Mechanical Energy = K.E. + P.E.
Total Mechanical Energy = 135000 J + 637500 J
Total Mechanical Energy = 772500 J

Therefore, the total mechanical energy possessed by the missile at 850 m is 772500 J.

(d) The missile strikes the ground with its maximum kinetic energy. Therefore, the kinetic energy (K.E.) with which it strikes the ground is equal to the total mechanical energy:

K.E. = 772500 J

The velocity with which it strikes the ground can be determined using the formula:

K.E. = (1/2)mv^2

Rearranging the formula to solve for velocity (v):

v = √(2K.E./m)

v = √(2(772500 J)/(75 kg))
v = √(1545000 J/kg)
v ≈ 1243.45 m/s

Therefore, the kinetic energy possessed by the missile when it strikes the ground is 772500 J and the velocity with which it strikes the ground is approximately 1243.45 m/s.
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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. possessed by the missile at 850 m.a)1350 Jb)135000 Jc)153000 Jd)1350 JCorrect answer is option 'B'. 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. possessed by the missile at 850 m.a)1350 Jb)135000 Jc)153000 Jd)1350 JCorrect answer is option 'B'. 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. possessed by the missile at 850 m.a)1350 Jb)135000 Jc)153000 Jd)1350 JCorrect answer is option 'B'. 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. possessed by the missile at 850 m.a)1350 Jb)135000 Jc)153000 Jd)1350 JCorrect answer is option 'B'. Can you explain this answer?.
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