The work required to be done to stop a car of 1500 kg moving at a velocity of 60 km/h is?

V = 60km/h = 60,000m/3600s = 16.7 m/s.

Work = The change in KE = 0.5*M*V^2 =
0.5*1500*16.7^2 = 209,168 J.

To find the work required to stop a car, we need to understand the concept of work and apply the appropriate formula.

Work (W) is defined as the product of the force (F) applied on an object and the displacement (d) of the object in the direction of the force. Mathematically, work is given by the formula:

W = F × d × cosθ

Where:
W = Work done
F = Force applied
d = Displacement of the object
θ = Angle between the force vector and the displacement vector

In this case, to stop a car, the force applied is the force of friction between the car's tires and the road surface. This frictional force acts in the opposite direction of the car's motion.

Since we don't have the value of the frictional force, we can calculate it using the equation:

Force of friction (Ff) = mass (m) × acceleration due to friction (a)

The acceleration due to friction is typically given as a coefficient of friction (μ) multiplied by the gravitational acceleration (g):

Acceleration due to friction (a) = μ × g

The coefficient of friction depends on the nature of the road surface and the tires of the car. We'll assume a coefficient of friction of 0.7, which is a reasonable value for a typical road surface and tire combination.

Now let's calculate the force of friction:

Acceleration due to friction (a) = 0.7 × 9.8 m/s² (gravitational acceleration) = 6.86 m/s²

Force of friction (Ff) = 1500 kg × 6.86 m/s² = 10,290 N

Since the force of friction acts in the opposite direction of the car's motion, the angle (θ) between the force and the displacement is 180 degrees.

Now, let's calculate the displacement. To stop the car, it needs to come to a complete halt, so the displacement is equal to the initial velocity (60 km/h) converted to meters per second (m/s) multiplied by the time it takes to stop (t):

Displacement (d) = (60 km/h) × (1000 m/1 km) × (1 h/3600 s) × t

The time required to stop the car is not given, so we cannot solve for the work directly. However, we can use the formula for work to find the relationship between work, force, and displacement:

W = F × d × cosθ

In this case, cos(180 degrees) = -1, so the formula simplifies to:

W = -F × d

Therefore, the work required to stop the car can be calculated as:

W = -Ff × d

Now, we have the equation ready to be solved; however, we need the displacement or the time it takes to stop the car to obtain the exact value of the work required.