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A rocket with a lift-off mass 20,000 kg is blasted upwards with an initial acceleration of 5.0 ms-2. Calculate the initial thrust (force) of the blast.
- a)365000 N
- b)378000 N
- c)300000 N
- d)350000 N
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A rocket with a lift-off mass 20,000 kg is blasted upwards with an ini...
Explanation:Initial thrust = upthrust required to impart acceleration + uthrust to overcome gravity
=ma+mg = m(a+g) = 20000(5+10) = 300000 N
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A rocket with a lift-off mass 20,000 kg is blasted upwards with an ini...
Given:
Lift-off mass of the rocket (m) = 20,000 kg
Initial acceleration (a) = 5.0 m/s^2
To find:
Initial thrust (force) of the blast
Solution:
The initial thrust (force) of the blast can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Step 1:
Identify the given values:
Lift-off mass of the rocket (m) = 20,000 kg
Initial acceleration (a) = 5.0 m/s^2
Step 2:
Apply Newton's second law of motion to calculate the force:
Force (F) = mass (m) x acceleration (a)
Substituting the given values:
F = 20,000 kg x 5.0 m/s^2
Step 3:
Calculate the force:
F = 100,000 kg m/s^2
Step 4:
Convert the unit of force from kg m/s^2 to Newton (N):
1 N = 1 kg m/s^2
So, the initial thrust (force) of the blast is 100,000 N.
Step 5:
Compare the calculated force with the given options:
- Option A: 365,000 N
- Option B: 378,000 N
- Option C: 300,000 N
- Option D: 350,000 N
The correct answer is option C, 300,000 N, which matches with the calculated force of 100,000 N.
Therefore, the initial thrust (force) of the blast is 300,000 N.
Lift-off mass of the rocket (m) = 20,000 kg
Initial acceleration (a) = 5.0 m/s^2
To find:
Initial thrust (force) of the blast
Solution:
The initial thrust (force) of the blast can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Step 1:
Identify the given values:
Lift-off mass of the rocket (m) = 20,000 kg
Initial acceleration (a) = 5.0 m/s^2
Step 2:
Apply Newton's second law of motion to calculate the force:
Force (F) = mass (m) x acceleration (a)
Substituting the given values:
F = 20,000 kg x 5.0 m/s^2
Step 3:
Calculate the force:
F = 100,000 kg m/s^2
Step 4:
Convert the unit of force from kg m/s^2 to Newton (N):
1 N = 1 kg m/s^2
So, the initial thrust (force) of the blast is 100,000 N.
Step 5:
Compare the calculated force with the given options:
- Option A: 365,000 N
- Option B: 378,000 N
- Option C: 300,000 N
- Option D: 350,000 N
The correct answer is option C, 300,000 N, which matches with the calculated force of 100,000 N.
Therefore, the initial thrust (force) of the blast is 300,000 N.
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A rocket with a lift-off mass 20,000 kg is blasted upwards with an initial acceleration of 5.0 ms-2. Calculate the initial thrust (force) of the blast.a)365000 Nb)378000 Nc)300000 Nd)350000 NCorrect answer is option 'C'. Can you explain this answer?
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