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A rocket with a lift-off mass 2 x 104 kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)
- a)2 x 105 N
- b)3 x 105 N
- c)4 x 105 N
- d)5 x 105 N
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A rocket with a lift-off mass 2 x 104kg is blasted upwards with an ini...
Initial thrust = upthrust required to impart accelaration + upthrust required to overcome gravitational pull
so, F=ma+mg= m(a+g) = 2×10⁴× (5+10) N
= 3×10⁵N
so, F=ma+mg= m(a+g) = 2×10⁴× (5+10) N
= 3×10⁵N
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A rocket with a lift-off mass 2 x 104kg is blasted upwards with an ini...
Understanding the Problem
To find the initial thrust of the rocket, we need to consider the forces acting on it. The rocket has a lift-off mass of 2 x 10^4 kg and it needs to overcome gravity while also providing the necessary acceleration.
Forces Acting on the Rocket
- Weight of the Rocket (W): This is the gravitational force acting downward. It can be calculated using the formula:
Weight (W) = mass (m) x gravity (g)
Given:
- m = 2 x 10^4 kg
- g = 10 m/s²
Therefore:
W = 2 x 10^4 kg x 10 m/s² = 2 x 10^5 N
- Net Force (F_net): This is the total force required to achieve the upward acceleration. It can be calculated using Newton's second law:
F_net = mass (m) x acceleration (a)
Given:
- a = 5 m/s²
Therefore:
F_net = 2 x 10^4 kg x 5 m/s² = 1 x 10^5 N
Calculating Total Thrust
- Thrust (T): The thrust must overcome both the weight of the rocket and provide the net force for acceleration. Thus, we can express thrust as:
T = Weight + Net Force
Substituting the calculated values:
T = 2 x 10^5 N + 1 x 10^5 N = 3 x 10^5 N
Conclusion
The initial thrust of the rocket is 3 x 10^5 N, which corresponds to option 'B'. This demonstrates how the forces acting on a rocket must be balanced and calculated to ensure successful lift-off.
To find the initial thrust of the rocket, we need to consider the forces acting on it. The rocket has a lift-off mass of 2 x 10^4 kg and it needs to overcome gravity while also providing the necessary acceleration.
Forces Acting on the Rocket
- Weight of the Rocket (W): This is the gravitational force acting downward. It can be calculated using the formula:
Weight (W) = mass (m) x gravity (g)
Given:
- m = 2 x 10^4 kg
- g = 10 m/s²
Therefore:
W = 2 x 10^4 kg x 10 m/s² = 2 x 10^5 N
- Net Force (F_net): This is the total force required to achieve the upward acceleration. It can be calculated using Newton's second law:
F_net = mass (m) x acceleration (a)
Given:
- a = 5 m/s²
Therefore:
F_net = 2 x 10^4 kg x 5 m/s² = 1 x 10^5 N
Calculating Total Thrust
- Thrust (T): The thrust must overcome both the weight of the rocket and provide the net force for acceleration. Thus, we can express thrust as:
T = Weight + Net Force
Substituting the calculated values:
T = 2 x 10^5 N + 1 x 10^5 N = 3 x 10^5 N
Conclusion
The initial thrust of the rocket is 3 x 10^5 N, which corresponds to option 'B'. This demonstrates how the forces acting on a rocket must be balanced and calculated to ensure successful lift-off.
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A rocket with a lift-off mass 2 x 104kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)a)2 x 105 Nb)3 x 105 Nc)4 x 105 Nd)5 x 105 NCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rocket with a lift-off mass 2 x 104kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)a)2 x 105 Nb)3 x 105 Nc)4 x 105 Nd)5 x 105 NCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket with a lift-off mass 2 x 104kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)a)2 x 105 Nb)3 x 105 Nc)4 x 105 Nd)5 x 105 NCorrect answer is option 'B'. Can you explain this answer?.
A rocket with a lift-off mass 2 x 104kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)a)2 x 105 Nb)3 x 105 Nc)4 x 105 Nd)5 x 105 NCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rocket with a lift-off mass 2 x 104kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)a)2 x 105 Nb)3 x 105 Nc)4 x 105 Nd)5 x 105 NCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket with a lift-off mass 2 x 104kg is blasted upwards with an initial acceleration of 5 m s-2. The initial thrust of the blast is (Take g = 10 m s-2)a)2 x 105 Nb)3 x 105 Nc)4 x 105 Nd)5 x 105 NCorrect answer is option 'B'. Can you explain this answer?.
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