<span>To determine the magnitude and the direction of the resultant force, we assume that the forces are in XY coordinate plane and the angles that are given are from the x axis.
</span>
<span>The 110 N force is said to act at 90 deg which means it is along the Y axis. The </span><span>55 N force is said to act at 0 deg which means it is along the X axis. so, a right angle is made by the two forces. Thus, the
</span>
<span>X component of the resultant force = 55 N </span>
<span>Y component of the resultant force = 110 N </span>
<span>Magnitude of the resultant force would be calculated as follows:
R = √(Fx^2 + Fy^2)
R = √(55^2 + 110^2) </span>
<span>R = √(15125) </span>
<span>R = 123 N </span>
<span>The resultant force would have its terminal side in the x-axis. We calculate angle θ as follows:
</span>
<span>tan θ = Fy/Fx </span>
<span>tan θ = 110 N /55 N = 2
</span>θ = arctan(2)
θ <span>= 63.4 degrees
</span>Therefore, the m<span>agnitude of the resultant force is 123 N and the direction would be at an angle of 63.4 degrees.</span>
-- If you're observing the moon from a location in the northern hemisphere, like Canada, Russia, the US, or Israel, then it looks like this picture during the <em>waxing crescent</em> phase.
-- If you're observing the moon from a location in the <u>southern</u> hemisphere, like Australia, South Africa, Paraguay, or Antarctica, then it looks like this picture during the <u>waning</u> crescent phase.
Answer:
The answer is 8.44*10^9 Newton
Explanation:
The equation for universal gravitation is:
![F=G*m_{1}*m_{2}/r^{2}](https://tex.z-dn.net/?f=F%3DG%2Am_%7B1%7D%2Am_%7B2%7D%2Fr%5E%7B2%7D)
Where:
G= 6.674×10^−11 N · (m/kg)^2
M(earth)=5.972 × 10^24 kg
M(asteroid)=5.0×10^13 kg
r=1.537*10^9 m (Calculated from average distance between moon and earth)
The force will be:
![F=6.674*10^{-11}*5.972*10^{24}*5*10^{13}/(1.537*10^9)^2\\F=8.44*10^9](https://tex.z-dn.net/?f=F%3D6.674%2A10%5E%7B-11%7D%2A5.972%2A10%5E%7B24%7D%2A5%2A10%5E%7B13%7D%2F%281.537%2A10%5E9%29%5E2%5C%5CF%3D8.44%2A10%5E9)
8.44*10^9 Newton
Answer:
The correct answer is C: The speed and acceleration of the cannonball are both the same as those of the marble.
Explanation:
Physical properties are categorized as intensive or extensive, according to how the property changes when the size of the system changes. An intensive quantity is one whose magnitude is independent of the size of the system.
Speed and acceleration are intensive properties.