Calculate the resultant of the pair of velocities 100km/h north and 75 km/h south. Calculate the resultant if both of the velocities are directed north.
How do you do that
You add vectors. If both are N, then 175km/n is the resultant. If one is S, it is the same as adding a negative N, so add 100km/h N + -75km/hr N
Well, to calculate the resultant of the pair of velocities, we need to add the velocities together. In this case, we have 100km/h going north and 75km/h going south. So, let me grab my calculator...*clownishly fumbles around with a calculator*... and voila! The resultant velocity is a whopping -25 km/h!
Now, let's move on to the second scenario where both velocities are directed north. In this case, we simply add the velocities together again. So, 100km/h + 75km/h = 175 km/h. Oh boy, that's quite a speed! So, there you have it, the resultant velocity is 175 km/h going north. Just be careful not to get a speeding ticket!
To calculate the resultant of the pair of velocities, you can use the following steps:
1. Convert the velocities to a common direction. As one velocity is north (positive) and the other is south (negative), we need to make them both either positive or negative. We can choose to make them both negative (-100 km/h and -75 km/h) to represent south direction only.
2. Add the two velocities together. In this case, -100 km/h + (-75 km/h) = -175 km/h.
3. The resulting velocity is -175 km/h. Since it is in the negative south direction, we can represent it as 175 km/h south.
Now, let's calculate the resultant if both of the velocities are directed north:
1. Simply add the two velocities together. 100 km/h + 75 km/h = 175 km/h.
2. The resulting velocity is 175 km/h north.
To calculate the resultant of velocities, we use vector addition. The result will be the vector sum of the given velocities.
1. When one velocity is north (100 km/h north) and the other velocity is south (75 km/h south):
To get the resultant velocity in this case, we need to take into account the direction as well. Since the two velocities are in opposite directions, we subtract the smaller magnitude from the larger magnitude, while keeping the direction of the larger magnitude velocity.
Therefore, to calculate the resultant in this case:
- Subtract 75 km/h from 100 km/h: 100 km/h - 75 km/h = 25 km/h
- Since the larger magnitude velocity is 100 km/h north, the resultant will also be towards the north.
- Thus, the resultant velocity is 25 km/h north.
2. When both velocities are directed north:
In this case, the vectors are parallel, and we simply add their magnitudes to get the resultant. The direction remains the same.
To calculate the resultant in this case:
- Add 100 km/h + 75 km/h: 100 km/h + 75 km/h = 175 km/h
- Since both velocities are directed north, the resultant will also be towards the north.
- Thus, the resultant velocity is 175 km/h north.
Remember that when calculating the resultant of velocities, it is essential to consider both the magnitudes and the directions of the velocities involved.