Answer:
100 miles North East.
Explanation:
Please see attached photo for diagram.
In the attached photo, X represents the magnitude of the total displacement of the train.
Thus, we can obtain the value of X by using the pythagoras theory as illustrated below:
X² = 80² + 60²
X² = 6400 + 3600
X² = 10000
Take the square root of both side
X = √10000
X = 100 miles.
Therefore, the magnitude of the total displacement of the train is 100 miles North East.
Both carts experience the same force but Cart A has a greater speed after the recoil.
The given parameters;
- <em>Mass of the cart A = 0.4 kg</em>
- <em>Mass of the cart B = 0.8 kg</em>
Apply the principle of conservation of linear momentum to determine the velocity of the carts after collision;
![m_Av_0_A\ + m_Bv_0_B = m_Av_f_A \ + m_Bv_f_B\\\\the \ initial \ velocity \ of \ both \ carts = 0\\\\0.4(0) + 0.8(0) = 0.4v_f_A + 0.8v_f_B\\\\0 = 0.4v_f_A + 0.8v_f_B\\\\0.4v_f_A = -0.8v_f_B\\\\v_f_A= \frac{-0.8 v_f_B}{0.4} \\\\v_f_A = - 2 \ v_f_B \ \ m/s](https://tex.z-dn.net/?f=m_Av_0_A%5C%20%2B%20m_Bv_0_B%20%3D%20m_Av_f_A%20%5C%20%2B%20m_Bv_f_B%5C%5C%5C%5Cthe%20%5C%20initial%20%5C%20velocity%20%5C%20of%20%5C%20both%20%5C%20carts%20%3D%200%5C%5C%5C%5C0.4%280%29%20%2B%200.8%280%29%20%3D%200.4v_f_A%20%2B%200.8v_f_B%5C%5C%5C%5C0%20%3D%200.4v_f_A%20%2B%200.8v_f_B%5C%5C%5C%5C0.4v_f_A%20%3D%20-0.8v_f_B%5C%5C%5C%5Cv_f_A%3D%20%5Cfrac%7B-0.8%20v_f_B%7D%7B0.4%7D%20%5C%5C%5C%5Cv_f_A%20%3D%20-%202%20%5C%20v_f_B%20%5C%20%5C%20m%2Fs)
According to Newton's third law of motion, action and reaction are equal and opposite. The force exerted on cart A is equal to the force exerted on cart B but in opposite direction.
![F_A = -F_B](https://tex.z-dn.net/?f=F_A%20%3D%20-F_B)
Thus, the correct statement that compares the motion and forces acting on the two carts is "Both carts experience the same force but Cart A has a greater speed after the recoil."
Learn more about conservation of linear momentum here: brainly.com/question/7538238
Answer:
if it is a true or false, the answer is true
Explanation:
Answer:
<em>216 J</em>
Explanation:
h = 1.8
a = 9.8
m = 12.2
<em>GPE</em> = <em>HAM</em> = 216
A. During long jump athlete runs before taking the jump by doing so he provides himself a larger inertia.
<h3>
What is inertia?</h3>
Inertia is the reluctance of an object to stop moving once in motion or start moving when it is at rest.
When an athlete runs before taking the jump, he is trying to increase his inertia, that is his reluctance to stop, thereby increasing his forward motion or jump.
Thus, during long jump athlete runs before taking the jump by doing so he provides himself a larger inertia.
Learn more about inertia here: brainly.com/question/1140505
#SPJ1