W= [(1/2)m(v)^2]-[(1/2)m(u)^2]...

=(1/2) (1500) [(0)^2-{(60×1000)/3600}^2]...

=-[750×(50/3)^2]
=-[(750×2500)/9] J ...

To calculate the work required to stop a car, we need to consider the kinetic energy possessed by the car and how it changes when it comes to a stop. The work done is equal to the change in kinetic energy.

1. Calculate the initial kinetic energy:
The formula for kinetic energy is given by KE = 0.5 * mass * velocity^2.
Plugging in the given values, we have KE = 0.5 * 1500 kg * (60 km/hour)^2.

2. Convert velocity to meters per second:
To ensure consistent units, we need to convert the velocity from kilometers per hour to meters per second. 1 km/hour is equal to 1000/3600 m/s. Therefore, the velocity becomes 60 km/hour * (1000/3600) m/s.

3. Plug in the values and calculate the initial kinetic energy:
KE = 0.5 * 1500 kg * [(60 km/hour * (1000/3600) m/s)^2].

4. Calculate the final kinetic energy:
When the car comes to a stop, its velocity becomes zero. Therefore, the final kinetic energy is zero.

5. Calculate the work done:
The work done is equal to the change in kinetic energy, which is given by W = KE_final - KE_initial. Since KE_final is zero, the work done is -KE_initial.

6. Simplify the expression and calculate the work done:
W = -[0.5 * 1500 kg * [(60 km/hour * (1000/3600) m/s)^2]].

By simplifying this expression and performing the necessary calculations, we can determine the work required to stop the car.

Please note that this is a general calculation and does not consider factors such as friction, air resistance, or braking systems. In real-world scenarios, additional forces need to be considered, which may affect the actual work required to stop a moving car.