# A truck of mass 1800kg is moving with a speed 54km/h. When brakes are applied, it stops with uniform negative acceleration at a distance of 200m. Calculate the force applied by the brakes of the truck and the work done before stopping.

Force = 3200 N

Work done = 640, 000 Nm

Explanation:

We begin by calculating the deceleration of the truck, using the velocity and distance;

a = (v² – u²)/2s

whereby;

a = acceleration

v = initial velocity

u = initial velocity

s = distance

We begin by changing the speed from km/h into m/s;

54km/hr = 15m/s

Then acceleration;

a = (0² – 15²) / 2 * 200

a = -225 / 400

a = - 0.5625 m/ s²

To calculate force;

F = ma

Whereby;

F = force

M = mass (in kgs)

a = acceleration

F = 1800 / 0.5625

F = 3200 N

Work done = Force * displacement

Work done = 3200 * 200

= 640, 000 Nm

For more on force and work done check out;

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