Answer to Question #86088 in Mechanics | Relativity for Steve

Question

I am a safety supervisor for an oil company. I need to know what is the force generated by an unsecured 300lb drum of oil traveling at 30mph if the truck stops suddenly. I am trying to instruct drivers about securing their loads and what can happen if they don't secure the load. For example: The 300lb drum would generate an impact force = to 1500lbs if the truck was traveling at 30 mph??? What about 50mph??? 2500 lbs of force????
Can you help me with these calculations?

Thanks,

Steve

Answer 1

It's quite easy to calculate the force applying Newton's second law:

$$F=ma$$

and the formula for acceleration in terms of braking time and braking distance:

$$a=\frac{2d}{t^2}.$$

Thus the impact force will be

$$F=m\cdot \frac{2d}{t^2}.$$

On the other hand, you can use the same law but substitute the acceleration expressed in terms of speed and braking distance:

$$F=m\cdot\frac{v^2_{final}-v^2_{initial}}{2d}.$$

Also, expressing the acceleration through velocities and the time required to slow the truck down from $v_{initial}$ to $v_{final}$:

$$F=m\cdot\frac{v_{final}-v_{initial}}{t}.$$

Remember that to determine the force in Newtons, use m/s for speed, meters and seconds.