a 5000lb. truck traveling at 30 miles per hr. hits a herd of horses bring the truck to a dead stop what is the force of impact?

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To calculate the force of impact, we need to use Newton's second law of motion, which states that force (F) equals mass (m) multiplied by acceleration (a). In this case, the acceleration will be the change in velocity (since the truck comes to a dead stop) divided by the time taken to stop.

1. The mass of the truck is given as 5000 lb. However, it's important to convert this mass into a more standard unit, such as kilograms. 1 lb is approximately equal to 0.4536 kg. So, the mass of the truck is 5000 lb * 0.4536 kg/lb = 2268 kg.

2. The initial velocity of the truck is given as 30 miles per hour (mph). To convert this into meters per second (m/s), we need to multiply by a conversion factor of 0.44704: 30 mph * 0.44704 m/s = 13.4112 m/s.

Now, we have the necessary information to calculate the force of impact:

3. Since the truck comes to a dead stop, the change in velocity is equal to the initial velocity (13.4112 m/s). The final velocity is 0 m/s.

4. Assuming the time taken to stop is t seconds, we can use the formula:
acceleration (a) = change in velocity / time
0 m/s - 13.4112 m/s = -13.4112 m/s
a = -13.4112 m/s / t

5. Finally, we apply Newton's second law to find the force:
force (F) = mass (m) * acceleration (a)
F = 2268 kg * (-13.4112 m/s / t)

Please note that the value of time (t) to stop the truck is missing from the given question. In order to provide an exact force of impact, we would need to know the time taken to bring the truck to a dead stop.