Newton's subsequent law expresses that power is corresponding to what exactly is needed for an object of consistent mass to change its speed. This is equivalent to that item's mass increased by its speed increase.
We use Newtons, kilograms, and meters each second squared as our default units, albeit any proper units for mass (grams, ounces, and so forth) or speed (miles each hour out of every second, millimeters per second², and so on) could unquestionably be utilized also - the estimation is the equivalent notwithstanding.
Hence, the appropriate answer will be 399,532.
Net Force = 399532
Answer:
True
Explanation:
Johannes Kepler was a German astronomer, mathematician and astrologer. He proposed a model of the solar system which remains in use, with some modifications. Moreover, he developed the laws of planetary motion which explain how the planets move around the sun. This work was not only significant on its own, but it also provided the foundations for Newton's theory of universal gravitation.
Answer: A- A truck has a mass of 900 kilograms.
If the velocity of the truck is 20 m/s, what is its momentum?
1- 180000 kg·m/s
2-0 kg·m/s
3-9000 kg·m/s
4-18000 kg·m/s
The process which involves plants to cause weathering to a seed that falls into a crack in a rock therefore, breaking apart the rock is called Mechanical weathering.
<h3>
Mechanical weathering</h3>
This is defined as the set of weathering processes that break apart rocks into particles (sediment) through physical processes. The most common form of mechanical weathering is the freeze-thaw cycle. Water seeps into holes and cracks in rocks then the water freezes and expands, therefore making the holes larger eventually making the rock split apart.
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From the given information:
- Taking the movement of the Duck in the North as the x-direction
- The movement of the Duck in the East direction as the y-direction
However, we will have to compute the initial velocity and the acceleration of the duck in their vector forms.
<h3>In vector form;</h3>
The initial velocity is:
![\mathbf{u ^{\to} = 0.7 m/s ( -cos 25^0 \hat x + sin 25^0 \hat y ) \ m/s}](https://tex.z-dn.net/?f=%5Cmathbf%7Bu%20%5E%7B%5Cto%7D%20%3D%200.7%20m%2Fs%20%28%20-cos%2025%5E0%20%5Chat%20x%20%2B%20sin%2025%5E0%20%5Chat%20y%20%29%20%5C%20m%2Fs%7D)
The acceleration is:
![\mathbf{a ^{\to} = 0.5 m/s ( cos 41^0 \hat x - sin 41^0 \hat y ) \ m/s^2}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba%20%5E%7B%5Cto%7D%20%3D%200.5%20m%2Fs%20%28%20cos%2041%5E0%20%5Chat%20x%20-%20sin%2041%5E0%20%5Chat%20y%20%29%20%5C%20m%2Fs%5E2%7D)
The objective of this question is to determine the speed of the duck at a certain time. Since it is not given, let's assume we are to determine the Duck speed after 4 seconds of accelerating;
Then, it implies that time (t) = 4 seconds.
Using the first equation of motion:
![v^{\to} = u ^{\to} + a^{\to} t](https://tex.z-dn.net/?f=v%5E%7B%5Cto%7D%20%3D%20u%20%5E%7B%5Cto%7D%20%2B%20a%5E%7B%5Cto%7D%20t)
Then, we can replace their values into the equation of motion in order to determine the speed:
![\mathbf{v^{\to} =\Big(0.7 ( -cos 25^0 \hat x + sin 25^0 \hat y )+4 \times 0.5 ( cos 41^0 \hat x - sin 41^0 \hat y )\Big)}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5CBig%280.7%20%28%20-cos%2025%5E0%20%5Chat%20x%20%2B%20sin%2025%5E0%20%5Chat%20y%20%29%2B4%20%5Ctimes%200.5%20%28%20cos%2041%5E0%20%5Chat%20x%20-%20sin%2041%5E0%20%5Chat%20y%20%29%5CBig%29%7D)
![\mathbf{v^{\to} =\Big(0.7 ( -cos 25^0 \hat x + sin 25^0 \hat y )+2.0 ( cos 41^0 \hat x - sin 41^0 \hat y )\Big)}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5CBig%280.7%20%28%20-cos%2025%5E0%20%5Chat%20x%20%2B%20sin%2025%5E0%20%5Chat%20y%20%29%2B2.0%20%28%20cos%2041%5E0%20%5Chat%20x%20-%20sin%2041%5E0%20%5Chat%20y%20%29%5CBig%29%7D)
![\mathbf{v^{\to} =\Big( ( -0.7 cos 25^0 \hat x + 0.7 sin 25^0 \hat y )+( 2.0cos 41^0 \hat x - 2.0sin 41^0 \hat y )\Big)}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5CBig%28%20%28%20-0.7%20cos%2025%5E0%20%5Chat%20x%20%2B%200.7%20sin%2025%5E0%20%5Chat%20y%20%29%2B%28%202.0cos%2041%5E0%20%5Chat%20x%20-%202.0sin%2041%5E0%20%5Chat%20y%20%29%5CBig%29%7D)
Collect like terms:
![\mathbf{v^{\to} =\Big( (2.0cos 41^0 -0.7 cos 25^0 )\hat x+( 0.7 sin 25^0 - 2.0sin 41^0 )\Big)\hat y}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5CBig%28%20%282.0cos%2041%5E0%20-0.7%20cos%2025%5E0%20%20%20%29%5Chat%20x%2B%28%20%200.7%20sin%2025%5E0%20-%202.0sin%2041%5E0%20%29%5CBig%29%5Chat%20y%7D)
![\mathbf{v^{\to} =0.87500 \hat x- 1.01629 \hat y}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D0.87500%20%20%20%5Chat%20x-%201.01629%20%5Chat%20y%7D)
Thus, the magnitude is:
![\mathbf{v^{\to} =\sqrt{(0.87500 )^2 +( 1.01629 )^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5Csqrt%7B%280.87500%20%29%5E2%20%2B%28%201.01629%20%29%5E2%7D%7D)
![\mathbf{v^{\to} =\sqrt{0.76563 +1.03285}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5Csqrt%7B0.76563%20%2B1.03285%7D%7D)
![\mathbf{v^{\to} =\sqrt{1.79848}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D%5Csqrt%7B1.79848%7D%7D)
![\mathbf{v^{\to} =1.34 \ m/s}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%5E%7B%5Cto%7D%20%3D1.34%20%5C%20m%2Fs%7D)
Therefore, we can conclude that the speed of the duck after 4 seconds is 1.34 m/s
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