Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N)..
we need to find :the resultant displacement.
hi please help me with this, so far iv figured it out as a rombus shape, so i tried to divde it into two triagnles and use the cosine law and sine law to figure it out.. except it keeps giveing me 0.3 cm.. and that seems very wrong
Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N)..
we need to find :the resultant displacement.
hi please help me with this, so far iv figured it out as a rombus shape, so i tried to divde it into two triagnles and use the cosine law and sine law to figure it out.. except it keeps giveing me 0.3 cm.. and that seems very wrong
This question has been posted and answered elsewhere.
To find the resultant displacement, we need to analyze the given directions and distances and calculate the vector sum.
In this case, we have three displacements: 250 m west, 360 m west-40° north, and 200 m north.
Step 1: Calculate the x-component and y-component of each displacement.
- The displacement of 250 m west has an x-component of -250 m and a y-component of 0 m.
- The displacement of 360 m west-40° north can be divided into an x-component and a y-component. The x-component is calculated using the cosine of the angle, and the y-component is calculated using the sine of the angle. So, the x-component is -360 m cos(40°) and the y-component is -360 m sin(40°).
- The displacement of 200 m north has an x-component of 0 m and a y-component of 200 m.
Step 2: Sum up the x-components and y-components.
To find the resultant displacement, we need to add up the x-components and the y-components separately. Let's call the resulting x-component "Rx" and the resulting y-component "Ry".
- Rx = -250 m + (-360 m cos(40°)) + 0 m
- Ry = 0 m + (-360 m sin(40°)) + 200 m
Step 3: Calculate the magnitude and direction of the resultant displacement.
The magnitude of the resultant displacement can be found using the Pythagorean theorem: R = sqrt(Rx^2 + Ry^2).
The direction of the resultant displacement can be calculated using the inverse tangent function: angle = atan(Ry / Rx).
By plugging in the values and performing the calculations, you should get the correct answer for the resultant displacement. Make sure to double-check your computations and be careful with the signs and units.