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A truck traveled east 25 km in 30 minutes, north 20 km in 45 minutes, and then west 25 km in 20 minutes.  Find the momentum.

Question

A truck traveled east 25 km in 30 minutes, north 20 km in 45 minutes, and then west 25 km in 20 minutes.

Find the momentum.

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Solution

To find the momentum, we first need to find the velocity for each direction and then the total velocity. Momentum is the product of mass and velocity. However, the problem does not provide the mass of the truck, so we cannot find the momentum.

Here's how you would find the velocity:

  1. Convert all the minutes to hours because the standard unit of velocity is km/hr. 30 minutes = 0.5 hours 45 minutes = 0.75 hours 20 minutes = 0.33 hours

  2. Calculate the velocity (distance/time) for each direction: East: 25km / 0.5hr = 50 km/hr North: 20km / 0.75hr = 26.67 km/hr West: 25km / 0.33hr = 75.76 km/hr

  3. Since the truck travels in perpendicular directions (east, north, and west), we can use Pythagorean theorem to find the total velocity: Total velocity = sqrt((50km/hr)^2 + (26.67km/hr)^2 + (75.76km/hr)^2)

But without the mass of the truck, we cannot find the momentum (mass * velocity).

This problem has been solved

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