You have a mass of 84 kg. How fast (in mph) would you have to run to have the same momentum as an 18-wheeler (m = 28,000 kg) rolling along at 1 mph
See previous post: Tue, 10-18-16, 4:43 AM.
To determine the speed you would have to run in order to have the same momentum as an 18-wheeler rolling along at 1 mph, we can use the principle of conservation of momentum.
The formula for momentum is given by:
momentum = mass × velocity
For the 18-wheeler with a mass of 28,000 kg and rolling at 1 mph, its momentum would be:
momentum_18_wheeler = mass_18_wheeler × velocity_18_wheeler
For you, with a mass of 84 kg, to have the same momentum as the 18-wheeler, we can solve for your required velocity using the momentum equation:
momentum_you = mass_you × velocity_you
Since we want the momentum to be the same as that of the 18-wheeler, we can set equal the two momentum equations:
mass_18_wheeler × velocity_18_wheeler = mass_you × velocity_you
Solving for velocity_you gives:
velocity_you = (mass_18_wheeler × velocity_18_wheeler) / mass_you
Substituting the given values:
velocity_you = (28,000 kg × 1 mph) / 84 kg
Now we can calculate the velocity:
velocity_you = 28,000 mph / 84 kg
Simplifying the expression, we find that:
velocity_you = 333.33 mph
Therefore, you would have to run at approximately 333.33 mph to have the same momentum as an 18-wheeler rolling at 1 mph.