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
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