A magnetic levitated train starts at rest then reaches a velocity of 2.5 x 10^2 km/hr [forward] after 10 minutes, determine the:
a) Magnetic levitated train's acceleration
b) Force of the train forward given the train's mass of 35 tonnes, ignoring air resistance
c) Explain why a country and/or train company may use a magnetically levitated train instead of a conventional train
Answers (2 significant digits)
a) G: Vi = 0m/s
Vf = 2.5 x 10^2 km/hr [forward]
= 250 km/hr [forward]
= 69.44 m/s [forward]
t = 10 minutes
= 600 seconds
R: a = ?
A: a = (vf - vi)/t
S: a = (69.44 m/s - 0 m/s)/600s
= 0.12 m/s^2 [forward]
S: ∴ the maglev train accelerates 0.12 m/s^2 [forward]
b) G: m = 35 tonnes
= 1 tonne is equivalent to 1000 kg
∴ 35 tonnes is equal to 35 000 kg
a = 0.12 m/s^2 [forward]
R: Fnet = ?
A: Fa - Ff = Fnet, Ff = 0
∴ Fa = Fnet
Fa = ma
S: Fa = (35 000 kg)(0.12 m/s^2)
= 4050.67 N [forward]
= 4050 N [forward]
= 4.1 x 10^3 N [forward]
S: ∴ the maglev train has a forward force of 4.1 x 10^3 N [forward]
c) A country or train company would probably use a maglev train over a convetional train such as the KTX because maglev trains are levitated and propelled by magnetic forces, this allows the maglev train to travel at a much faster rate than conventional trains that use tracks. The faster rate of transportation allows people to get to places more efficiently and effectively. Another reason why countries would use maglev trains over conventional trains is the idea that maglev trains do not need to burn fossil fuels for operation. Conventional trains burn fossil fuels which pollute the air and contributes to environmental damages (global warming) whereas the maglev train does not. A country and/or train company would use the maglev train than the conventional trains so it can reduce its environmental impact. As a final reason, a country/train company would use a maglev train rather than the conventional trains because they require little maintenance. Little maintenance saves the country or train company lots of money as they would not have to pay people to maintain the train or buy parts to replace it due to its rare contact with another object. However, the conventional trains require a lot of maintenance which costs the country or train company lots of money. These are three reasons why a country and/or a train company would want to use a maglev train instead of conventional trains.
a) Magnetic levitated train's acceleration
b) Force of the train forward given the train's mass of 35 tonnes, ignoring air resistance
c) Explain why a country and/or train company may use a magnetically levitated train instead of a conventional train
Answers (2 significant digits)
a) G: Vi = 0m/s
Vf = 2.5 x 10^2 km/hr [forward]
= 250 km/hr [forward]
= 69.44 m/s [forward]
t = 10 minutes
= 600 seconds
R: a = ?
A: a = (vf - vi)/t
S: a = (69.44 m/s - 0 m/s)/600s
= 0.12 m/s^2 [forward]
S: ∴ the maglev train accelerates 0.12 m/s^2 [forward]
b) G: m = 35 tonnes
= 1 tonne is equivalent to 1000 kg
∴ 35 tonnes is equal to 35 000 kg
a = 0.12 m/s^2 [forward]
R: Fnet = ?
A: Fa - Ff = Fnet, Ff = 0
∴ Fa = Fnet
Fa = ma
S: Fa = (35 000 kg)(0.12 m/s^2)
= 4050.67 N [forward]
= 4050 N [forward]
= 4.1 x 10^3 N [forward]
S: ∴ the maglev train has a forward force of 4.1 x 10^3 N [forward]
c) A country or train company would probably use a maglev train over a convetional train such as the KTX because maglev trains are levitated and propelled by magnetic forces, this allows the maglev train to travel at a much faster rate than conventional trains that use tracks. The faster rate of transportation allows people to get to places more efficiently and effectively. Another reason why countries would use maglev trains over conventional trains is the idea that maglev trains do not need to burn fossil fuels for operation. Conventional trains burn fossil fuels which pollute the air and contributes to environmental damages (global warming) whereas the maglev train does not. A country and/or train company would use the maglev train than the conventional trains so it can reduce its environmental impact. As a final reason, a country/train company would use a maglev train rather than the conventional trains because they require little maintenance. Little maintenance saves the country or train company lots of money as they would not have to pay people to maintain the train or buy parts to replace it due to its rare contact with another object. However, the conventional trains require a lot of maintenance which costs the country or train company lots of money. These are three reasons why a country and/or a train company would want to use a maglev train instead of conventional trains.