System of Varying Mass
LAWS OF MOTION (ADDITIONAL)

372204 A rocket with an initial mass \(m_{0}\) is going up with a constant acceleration a by exhausting gases with a velocity \(v\) relative to the rocket motion, then the mass of the rocket at any instant of time is (assume that no other forces act on it)

1 \(m=m_{0} e^{-\frac{a t}{v}}\)
2 \(m=m_{0} e^{-\frac{2 a t}{v}}\)
3 \(m=m_{0} e^{-\frac{a t}{2 v}}\)
4 \(m=m_{0} e^{-\frac{a^{2} t^{2}}{v^{2}}}\)
LAWS OF MOTION (ADDITIONAL)

372205 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off
2 When the rocket has nearly stopped with respect to the Earth
3 It doesn't matter.
4 Can't say
LAWS OF MOTION (ADDITIONAL)

372206 A \(600 \mathrm{~kg}\) rocket is set for a vertical firing. If the exhaust speed is \(1000 \mathrm{~ms}^{-1}\), the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

1 \(117.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
2 \(58.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
3 \(6 \mathrm{~kg} \mathrm{~s}^{-1}\)
4 \(76.4 \mathrm{~kg} \mathrm{~s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372207 If the force on a rocket moving with a velocity of \(300 \mathrm{~m} / \mathrm{s}\) is \(345 \mathrm{~N}\), then the rate of combustion of the fuel is

1 \(0.55 \mathrm{~kg} / \mathrm{s}\)
2 \(0.75 \mathrm{~kg} / \mathrm{s}\)
3 \(1.15 \mathrm{~kg} / \mathrm{s}\)
4 \(2.25 \mathrm{~kg} / \mathrm{s}\)
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LAWS OF MOTION (ADDITIONAL)

372204 A rocket with an initial mass \(m_{0}\) is going up with a constant acceleration a by exhausting gases with a velocity \(v\) relative to the rocket motion, then the mass of the rocket at any instant of time is (assume that no other forces act on it)

1 \(m=m_{0} e^{-\frac{a t}{v}}\)
2 \(m=m_{0} e^{-\frac{2 a t}{v}}\)
3 \(m=m_{0} e^{-\frac{a t}{2 v}}\)
4 \(m=m_{0} e^{-\frac{a^{2} t^{2}}{v^{2}}}\)
LAWS OF MOTION (ADDITIONAL)

372205 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off
2 When the rocket has nearly stopped with respect to the Earth
3 It doesn't matter.
4 Can't say
LAWS OF MOTION (ADDITIONAL)

372206 A \(600 \mathrm{~kg}\) rocket is set for a vertical firing. If the exhaust speed is \(1000 \mathrm{~ms}^{-1}\), the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

1 \(117.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
2 \(58.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
3 \(6 \mathrm{~kg} \mathrm{~s}^{-1}\)
4 \(76.4 \mathrm{~kg} \mathrm{~s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372207 If the force on a rocket moving with a velocity of \(300 \mathrm{~m} / \mathrm{s}\) is \(345 \mathrm{~N}\), then the rate of combustion of the fuel is

1 \(0.55 \mathrm{~kg} / \mathrm{s}\)
2 \(0.75 \mathrm{~kg} / \mathrm{s}\)
3 \(1.15 \mathrm{~kg} / \mathrm{s}\)
4 \(2.25 \mathrm{~kg} / \mathrm{s}\)
LAWS OF MOTION (ADDITIONAL)

372204 A rocket with an initial mass \(m_{0}\) is going up with a constant acceleration a by exhausting gases with a velocity \(v\) relative to the rocket motion, then the mass of the rocket at any instant of time is (assume that no other forces act on it)

1 \(m=m_{0} e^{-\frac{a t}{v}}\)
2 \(m=m_{0} e^{-\frac{2 a t}{v}}\)
3 \(m=m_{0} e^{-\frac{a t}{2 v}}\)
4 \(m=m_{0} e^{-\frac{a^{2} t^{2}}{v^{2}}}\)
LAWS OF MOTION (ADDITIONAL)

372205 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off
2 When the rocket has nearly stopped with respect to the Earth
3 It doesn't matter.
4 Can't say
LAWS OF MOTION (ADDITIONAL)

372206 A \(600 \mathrm{~kg}\) rocket is set for a vertical firing. If the exhaust speed is \(1000 \mathrm{~ms}^{-1}\), the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

1 \(117.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
2 \(58.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
3 \(6 \mathrm{~kg} \mathrm{~s}^{-1}\)
4 \(76.4 \mathrm{~kg} \mathrm{~s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372207 If the force on a rocket moving with a velocity of \(300 \mathrm{~m} / \mathrm{s}\) is \(345 \mathrm{~N}\), then the rate of combustion of the fuel is

1 \(0.55 \mathrm{~kg} / \mathrm{s}\)
2 \(0.75 \mathrm{~kg} / \mathrm{s}\)
3 \(1.15 \mathrm{~kg} / \mathrm{s}\)
4 \(2.25 \mathrm{~kg} / \mathrm{s}\)
LAWS OF MOTION (ADDITIONAL)

372204 A rocket with an initial mass \(m_{0}\) is going up with a constant acceleration a by exhausting gases with a velocity \(v\) relative to the rocket motion, then the mass of the rocket at any instant of time is (assume that no other forces act on it)

1 \(m=m_{0} e^{-\frac{a t}{v}}\)
2 \(m=m_{0} e^{-\frac{2 a t}{v}}\)
3 \(m=m_{0} e^{-\frac{a t}{2 v}}\)
4 \(m=m_{0} e^{-\frac{a^{2} t^{2}}{v^{2}}}\)
LAWS OF MOTION (ADDITIONAL)

372205 A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable of operating for a short time) has to be used as well. When is it best to switch on the auxiliary engine?

1 at take-off
2 When the rocket has nearly stopped with respect to the Earth
3 It doesn't matter.
4 Can't say
LAWS OF MOTION (ADDITIONAL)

372206 A \(600 \mathrm{~kg}\) rocket is set for a vertical firing. If the exhaust speed is \(1000 \mathrm{~ms}^{-1}\), the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

1 \(117.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
2 \(58.6 \mathrm{~kg} \mathrm{~s}^{-1}\)
3 \(6 \mathrm{~kg} \mathrm{~s}^{-1}\)
4 \(76.4 \mathrm{~kg} \mathrm{~s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372207 If the force on a rocket moving with a velocity of \(300 \mathrm{~m} / \mathrm{s}\) is \(345 \mathrm{~N}\), then the rate of combustion of the fuel is

1 \(0.55 \mathrm{~kg} / \mathrm{s}\)
2 \(0.75 \mathrm{~kg} / \mathrm{s}\)
3 \(1.15 \mathrm{~kg} / \mathrm{s}\)
4 \(2.25 \mathrm{~kg} / \mathrm{s}\)