Question

train with a mass of 485000 kg. suppose the train is traveling northwest along a straight track at a speed of 20m/s. what force must the train exert to increase its velocity to 25.0m/s to the northwest in 5.00s

Answer 1

Force = 485000 Newton.

Step-by-step explanation:

Given the following data;

Mass = 485000 kg

Initial velocity = 20m/s

Final velocity = 25m/s

Time, t = 5 seconds

To find the force;

First of all, we would calculate the acceleration of the train i.e the rate of change of the velocity of the train with respect to time.

Mathematically, acceleration is given by the equation;

`Acceleration (a) = (final \; velocity - initial \; velocity)/(time)`

`a = (v - u)/(t)`

Where;

a is acceleration measured in
`ms^(-2)`

v and u is final and initial velocity respectively, measured in
`ms^(-1)`

t is time measured in seconds.

Substituting into the equation, we have;

Acceleration = (25 - 20)/5

Acceleration = 5/5

Acceleration = 1m/s²

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

Force = mass * acceleration

Force = 485000 * 1

Force = 485000 Newton.