This is conservation of momentum. At the beginning the total momentum is zero. When you throw the stone you give the stone a positive momentum, which means you must have a negative momentum (when I say negative I mean in the opposite direction of the direction of the stone) so that the total momentum is still zero. You and the canoe will move in the opposite direction of which you threw the stone.
Answer:
Potential energy of the ball would increase
Explanation:
The formula for potential energy of an object is:
Potential Energy (object) = mass x gravity x height
In your question, the value for height is increased when the object (ball) is placed in a higher position. This creates a net positive change in the right-hand side of the formula and since the value of mass and gravity doesn't change because gravity is a constant (meaning it's always 9.8N/kg) and the mass is said to be kept the same, the ball's potential energy would increase.
a) The magnitude will be 0.838m
b) The displacement will be -17.35°
<h3>What is displacement?</h3>
The path covered by an object from its initial point to final point.
Forces acting on the duck
x-axis: 0.13 + 0.16*cos(-56°) = 2.7 * ax
ax = 0.0813 m/s^2
y-axis: 0.13*sin(-56°) = 2.7 * ay
ay = -0.0491 m/s^2
The displacement on the x-axis
X = Vox * t + ax/2 * t²
X = 0.12* 3.2 + 0.0813/2*3.2²
X = 0.8
The displacement on the y-axis:
Y = Voy * t + ay/2 * t²
X = 0 - 0.0491/2*3.2²
Y=-0.25m
So, the magnitude and angle of this displacement [0.8,-0.25] is:
0.838m at an angle of -17.35°
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