A steam engine has mass 3×104 kg, it has two wagons with mass 2×104 kg. These wagons accelerate with 0.2 m/s2, then which of the following option/s is/are correct?

A steam engine has mass 3×104kg, it has two wagons with mass 2×104kg. These wagons accelerate with 0.2 m/s2. Then the force exerted by engine is 1.4×104N and force experienced by each wagon is 0.4×104N. frictional force is neglected between engine and wagon.To calculate the force exerted by the engine the total system is taken hence the mass of system m is,M = m1+ m2Mass of engine m1= 3×104 kgMass of each wagon m2 = 2×104 kgTotal mass of system M = 3×104 kg +2×(2×104 kg)M = 7 ×104 kgGiven that engine provides acceleration 0.2 m/s2 for each wagon. Then the force exerted by each wagon is From the newton’s second lawF = mam is mass and a is acceleration of an object.F = 7×104 kg×0.2 m/s2F = 1.4×104 kgm/s2F = 1.4×104 NThe force exerted by engine is 1.4×104 N.To calculate the force experienced by each wagon has mass 2×104 kg with acceleration 0.2 m/s2 isF = ma=> 2×104 kg ×0.2 m/s2=> 0.4×104 kgm/s2F = 0.4×104 NHence, the force experienced by each wagon is F = 0.4×104 N

A steam engine has mass 3×104 kg, it has two wagons with mass 2×104 kg. These wagons accelerate with 0.2 m/s2, then which of the following option/s is/are correct?

A steam engine has mass 3×104kg, it has two wagons with mass 2×104kg. These wagons accelerate with 0.2 m/s2. Then the force exerted by engine is 1.4×104N and force experienced by each wagon is 0.4×104N. frictional force is neglected between engine and wagon.To calculate the force exerted by the engine the total system is taken hence the mass of system m is,M = m1+ m2Mass of engine m1= 3×104 kgMass of each wagon m2 = 2×104 kgTotal mass of system M = 3×104 kg +2×(2×104 kg)M = 7 ×104 kgGiven that engine provides acceleration 0.2 m/s2 for each wagon. Then the force exerted by each wagon is From the newton’s second lawF = mam is mass and a is acceleration of an object.F = 7×104 kg×0.2 m/s2F = 1.4×104 kgm/s2F = 1.4×104 NThe force exerted by engine is 1.4×104 N.To calculate the force experienced by each wagon has mass 2×104 kg with acceleration 0.2 m/s2 isF = ma=> 2×104 kg ×0.2 m/s2=> 0.4×104 kgm/s2F = 0.4×104 NHence, the force experienced by each wagon is F = 0.4×104 N

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A steam engine has mass $3 \times 10^{4} kg$ , it has two wagons with mass $2 \times 10^{4} kg$ . These wagons accelerate with $0.2 m / s^{2},$ then which of the following option/s is/are correct?

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Force exerted by engine is

1.4 \times 10^{4} N

The force experienced by each wagon is

0.4 \times 10^{4} N

Frictional force between wagons is neglected for easy calculation

All of the above

answer is D.

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Detailed Solution

A steam engine has mass

3 \times 10^{4} kg

, it has two wagons with mass

2 \times 10^{4} kg

. These wagons accelerate with

0.2 m / s^{2}

. Then the force exerted by engine is

1.4 \times 10^{4} N

and force experienced by each wagon is

0.4 \times 10^{4} N

. frictional force is neglected between engine and wagon.
To calculate the force exerted by the engine the total system is taken hence the mass of system m is,