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

M1*V1 = M2*V2.

84*V1 = 28000*1, V1 = 333.3 mi/h.

To find the speed at which a person with a mass of 84 kg would need to run to have the same momentum as an 18-wheeler with a mass of 28,000 kg rolling at 1 mph, we can use the principle of conservation of momentum.

The momentum of an object can be calculated by multiplying its mass (m) by its velocity (v).

Momentum (p) = mass (m) × velocity (v)

Given that the momentum of the 18-wheeler is equal to the momentum of the person running:

p_person = p_18-wheeler

m_person × v_person = m_18-wheeler × v_18-wheeler

Rearranging the equation and solving for v_person (running speed of the person):

v_person = (m_18-wheeler × v_18-wheeler) / m_person

Plugging in the values:

v_person = (28,000 kg × 1 mph) / 84 kg

v_person = 333.33 mph (rounded to the nearest hundredth)

Therefore, the person would need to run at approximately 333.33 mph to have the same momentum as an 18-wheeler rolling at 1 mph.

To determine how fast you would have to run to have the same momentum as an 18-wheeler rolling at 1 mph, we can use the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In equation form, momentum (p) is given by:
p = m * v

Where:
p = momentum
m = mass of the object
v = velocity of the object

Given that the mass of the 18-wheeler is 28,000 kg and its velocity is 1 mph, we can calculate its momentum:
p_truck = m_truck * v_truck
= 28,000 kg * 1 mph

Now, let's find how fast you would have to run to have the same momentum as the truck. First, we need to calculate the momentum of the truck:
p_truck = 28,000 kg * 1 mph

To have the same momentum, your momentum (p_you) should be equal to the truck's momentum:
p_you = m_you * v_you

Since the mass of a human is usually negligible compared to that of an 18-wheeler, we can assume that m_you is negligible.

Therefore, to solve for v_you, we rearrange the equation:
v_you = p_you / m_you

Substituting in the known values, we have:
v_you = p_truck / m_you
= (28,000 kg * 1 mph) / 0 kg

We can now calculate the velocity at which you would have to run to achieve the same momentum as the 18-wheeler. Since 1 mph is equal to approximately 0.44704 m/s, we can convert to meters per second as follows:
v_you = (28,000 kg * 0.44704 m/s) / 0 kg

Notice that we have an undefined value due to dividing by zero. This means that you would have to run at an infinitely fast speed, which is not physically possible. The scenario described is an idealized situation that cannot be achieved.