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DESPERATEA rocket of mass 40 000 kg takes off and flies to a height of 2.5 km as its engines produce 500 000 N of thrust.
1 answer:
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Answer:
The mechanical advantage of the system is equal to 19.62
Explanation:
The ratio of the force produced by a machine to the force applied to it is called mechanical advantage. In other words it is the ratio of output force to the input force.
In this problem mass=200kg
applied force=100N
input force=100N
output force=
mechanical advantage
It gives an idea about the efficiency of a mechanical device. It is indeed a measure of force amplification. In block and tackle system an assembly of ropes and pulleys is used to lift loads. When the moving block is supported by a greater number of rope sections the force amplification will be more.
Answer:
(a) 2.45×10⁵ N/m
(b) 0.204 m
Explanation:
Here we have that to have a velocity of 2.25 m/s then the relationship between the elastic potential energy of the spring and the kinetic energy of the rocket must be
Elastic potential energy of the spring = Kinetic energy of the rocket
Where:
k = Force constant of the spring
x = Extension of the spring
m = Mass of the rocket
v = Velocity of the rocket
Therefore,
or
(b) Since the maximum acceleration is given as 5.00×g we have
Maximum acceleration = 5.00 × 9.81 = 49.05 m/s²
Hence the force on the rocket is then;
Force = m×a = 1020 × 49.05 = 50,031 N
Therefore,
(a) From which
or
Force constant of the spring, k = 2.45×10⁵ N/m.