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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 energy possessed by an object due to motion is ………
- a)chemical energy
- b)kinetic energy
- c)potential energy
- d)power
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 ...
Kinetic energy is the energy possessed by an object due to its motion. If an object is moving, then it has kinetic energy. If an object has kinetic energy, then it is moving.
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Direction: 75 kg missile is dropped downwards from an air plane, and ...
The energy possessed by an object due to motion is called kinetic energy.
Explanation:
Kinetic energy is the energy possessed by an object due to its motion. It depends on the mass and velocity of the object. The formula for kinetic energy is given by:
K.E. = 1/2 * m * v^2
where K.E. is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
Now, let's solve the given problem step by step:
(a) The K.E. possessed by the missile at 850 m:
The given problem states that the missile has a mass of 75 kg and a speed of 60 m/s at an altitude of 850 m above the ground. At this point, the missile is not moving horizontally but is only moving vertically downwards due to the effect of gravity. Therefore, the horizontal component of the velocity is zero.
To find the kinetic energy, we need to calculate the vertical component of the velocity. Since the missile is dropped from rest, its initial vertical velocity is zero. Using the equation of motion for vertical motion:
v^2 = u^2 + 2as
where v is the final vertical velocity, u is the initial vertical velocity, a is the acceleration due to gravity, and s is the vertical displacement.
Rearranging the equation, we get:
v^2 = 2as
Substituting the given values, we have:
v^2 = 2 * 9.8 m/s^2 * 850 m
v^2 = 16660 m^2/s^2
v = √16660 m/s ≈ 129 m/s (rounded to 3 significant figures)
Now, we can substitute the values of mass and velocity into the formula for kinetic energy:
K.E. = 1/2 * 75 kg * (129 m/s)^2
K.E. ≈ 611812.5 J (rounded to 3 significant figures)
Therefore, the kinetic energy possessed by the missile at 850 m is approximately 611812.5 J.
(b) The P.E. possessed by the missile at 850 m:
The potential energy possessed by an object is given by the formula:
P.E. = m * g * h
where P.E. is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the vertical height.
Substituting the given values, we have:
P.E. = 75 kg * 9.8 m/s^2 * 850 m
P.E. = 617250 J
Therefore, the potential energy possessed by the missile at 850 m is 617250 J.
(c) The total mechanical energy possessed by the missile:
The total mechanical energy possessed by an object is the sum of its kinetic energy and potential energy. Therefore, the total mechanical energy possessed by the missile at 850 m is:
Total mechanical energy = K.E. + P.E.
Total mechanical energy = 611812.5 J + 617250 J
Total mechanical energy ≈ 1225062.5 J (rounded to 3 significant figures)
Therefore, the total mechanical energy possessed by the missile at 850 m is approximately 1225062.5 J.
(d) The K.E. and velocity with which it strikes the ground:
When the missile strikes the ground
Explanation:
Kinetic energy is the energy possessed by an object due to its motion. It depends on the mass and velocity of the object. The formula for kinetic energy is given by:
K.E. = 1/2 * m * v^2
where K.E. is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
Now, let's solve the given problem step by step:
(a) The K.E. possessed by the missile at 850 m:
The given problem states that the missile has a mass of 75 kg and a speed of 60 m/s at an altitude of 850 m above the ground. At this point, the missile is not moving horizontally but is only moving vertically downwards due to the effect of gravity. Therefore, the horizontal component of the velocity is zero.
To find the kinetic energy, we need to calculate the vertical component of the velocity. Since the missile is dropped from rest, its initial vertical velocity is zero. Using the equation of motion for vertical motion:
v^2 = u^2 + 2as
where v is the final vertical velocity, u is the initial vertical velocity, a is the acceleration due to gravity, and s is the vertical displacement.
Rearranging the equation, we get:
v^2 = 2as
Substituting the given values, we have:
v^2 = 2 * 9.8 m/s^2 * 850 m
v^2 = 16660 m^2/s^2
v = √16660 m/s ≈ 129 m/s (rounded to 3 significant figures)
Now, we can substitute the values of mass and velocity into the formula for kinetic energy:
K.E. = 1/2 * 75 kg * (129 m/s)^2
K.E. ≈ 611812.5 J (rounded to 3 significant figures)
Therefore, the kinetic energy possessed by the missile at 850 m is approximately 611812.5 J.
(b) The P.E. possessed by the missile at 850 m:
The potential energy possessed by an object is given by the formula:
P.E. = m * g * h
where P.E. is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the vertical height.
Substituting the given values, we have:
P.E. = 75 kg * 9.8 m/s^2 * 850 m
P.E. = 617250 J
Therefore, the potential energy possessed by the missile at 850 m is 617250 J.
(c) The total mechanical energy possessed by the missile:
The total mechanical energy possessed by an object is the sum of its kinetic energy and potential energy. Therefore, the total mechanical energy possessed by the missile at 850 m is:
Total mechanical energy = K.E. + P.E.
Total mechanical energy = 611812.5 J + 617250 J
Total mechanical energy ≈ 1225062.5 J (rounded to 3 significant figures)
Therefore, the total mechanical energy possessed by the missile at 850 m is approximately 1225062.5 J.
(d) The K.E. and velocity with which it strikes the ground:
When the missile strikes the ground
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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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. Can you explain this answer?.
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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. 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 energy possessed by an object due to motion is ………a)chemical energyb)kinetic energyc)potential energyd)powerCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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