In the 1950’s, an experimental train that had
a mass of 16200 kg was powered across a level
track by a jet engine that produced a thrust
of 5.02 × 105 N for a distance of 565 m.
Find the work done on the train.
Answer in units of J
To find the work done on the train, you can use the formula:
work = force x distance
In this case, the force is the thrust produced by the jet engine, and the distance is the distance traveled by the train.
Given:
Mass of the train (m): 16200 kg
Thrust produced by the jet engine (F): 5.02 × 10^5 N
Distance traveled by the train (d): 565 m
To solve for work, follow these steps:
Step 1: Calculate the force acting on the train.
The force acting on the train is the thrust produced by the jet engine, which is given as 5.02 × 10^5 N.
Step 2: Calculate the work done on the train.
Using the formula work = force x distance, substitute the known values:
work = 5.02 × 10^5 N x 565 m
Step 3: Solve the equation.
Multiply the force by the distance to obtain the work done on the train:
work = 283,630,000 J (rounded to the nearest whole number)
Therefore, the work done on the train is approximately 283,630,000 J.
To find the work done on the train, we can use the formula:
Work = Force x Distance
Given that the force is 5.02 × 105 N and the distance is 565 m, we can substitute these values into the formula:
Work = (5.02 × 105 N) x (565 m)
Now, we can calculate the work:
Work = 2.8333 × 108 N·m
Since work is measured in joules (J), we can convert N·m to joules:
1 J = 1 N·m
Therefore,
Work = 2.8333 x 108 J
The work done on the train is approximately 2.8333 x 108 joules.