A van travels a curve of radius 200m at 14m/s on a force of 965N. What is the weight of the van?
First get the mass of the van by using the formula of Centripetal force F = mv²/R:
F = mv²/R
Solve for mass in terms of force,radius and velocity..velocity should be in m/s, force should be in Newtons and radius should be in meters..
We will have:
m = FR/v²
= 965(200) / 14
= 193000/14
m =13785.71429 kg.
Now you can solve for the weight using the formula W = mg;
Where:
W= weight in Newtons m = mass in kg g = 9.81 m/s²(acceleration due to gravity constant)
W = mg
= 13785.71429 x 9.81
= 135237.86 Newtons
W = 135.238 kN
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