Answer:
1.09 km, 3 km
Explanation:
displacement, d = 3.20 km at 20° North of east
A vector quantity has two components one along the x axis and the other is along Y axis. the component along X axis is called the horizontal component and it is due east.
The component along y axis is called vertical component and it is due North.
Displacement due North, dy = 3.20 Sin 20° = 1.09 km
Displacement due east, dx = 3.20 Cos 20° = 3 km
Answer:
wowwwww grape no one will have carrot
The particle has 
and 
, and is undergoing a constant acceleration of 
.
This means its position at time 
is given by the vector function,
![\implies\vec r(t)=\left[4\,\mathrm m+\left(2\dfrac{\rm m}{\rm s}\right)t-\left(1\dfrac{\rm m}{\mathrm s^2}\right)t^2\right]\,\vec\imath-\left(1\dfrac{\rm m}{\mathrm s^2}\right)t^2\,\vec\jmath](https://tex.z-dn.net/?f=%5Cimplies%5Cvec%20r%28t%29%3D%5Cleft%5B4%5C%2C%5Cmathrm%20m%2B%5Cleft%282%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29t-%5Cleft%281%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29t%5E2%5Cright%5D%5C%2C%5Cvec%5Cimath-%5Cleft%281%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29t%5E2%5C%2C%5Cvec%5Cjmath)
The particle crosses the x-axis when the 
component is 0 for some time 
, so we solve:
The negative square root introduces a negative solution that we throw out, leaving us with 
or about 3.24 seconds after it starts moving.
Answer:
The correct wording is
- Pressure increases with the depth of the fluid.
- A plane's engines produce thrust to push the plane forward.
- A fluid can be a liquid or a gas.
- A hydraulic device uses Pascal's principle to lift or move objects.
- lift is the upward force exerted on objects by fluids.
Explanation:
1. As you go deeper into a fluid,<em> there is more of it on top of you; </em>therefore, the pressure excreted on you is greater.
2. A plane's engines pushes the air in opposite direction, which according to newton's third law, produces necessary force to move the plane forward.
3. <em>A fluid has no fixed shape,</em> and it deforms under the influence of external forces applied—liquid and gases fit into this definition.
4. Pascal's principle <em>says that pressure applied on one region of the fluid must equal pressure transmitted to another region of the same fluid</em>. This principle is used in a hydraulic device to exert forces on fluids to lift objects that would otherwise be difficult to move.
5. By definition, the upward force exerted by the fluids on objects is the lift.
Answer:
1.5g/cm³
Explanation:
Given parameters:
Initial volume of the liquid = 30cm³
Final volume of the liquid = 50cm³
Mass of the liquid = 30g
Unknown:
Density of the liquid = ?
Solution:
Density is the mass per unit volume of a substance.
Density = 
volume of the liquid = final volume - initial volume = 50cm³ - 30cm³
volume of the liquid = 20cm³
Density = 
= 1.5g/cm³
