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Why the torque is maximum when the plane is horizontal and falls to zero when it is vertical?
Torque is maximized when the plane is horizontal because the force due to gravity acts perpendicularly to the lever arm, resulting in the greatest rotational effect. As the plane tilts towards a vertical position, the angle between the force of gravity and the lever arm decreases, leading to a reduction in torque. When the plane is completely vertical, the force of gravity acts parallel to the lever arm, causing the torque to drop to zero. Thus, the orientation directly influences the effectiveness of the force in creating rotational motion.
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What is indicated about the slope of a line that slants down from left to right in a rectangular coordinate system?
It shows that the variable shown on the vertical (y) axis falls as the one on the horizontal (x) axis increase. The exact nature of that relationship depends on whether the line is straight or curved.
How do you determine slpope of a line?
To determine the slope of a line, you can use the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are two distinct points on the line. The slope ( m ) represents the change in the vertical direction (rise) divided by the change in the horizontal direction (run). A positive slope indicates the line rises as it moves from left to right, while a negative slope indicates it falls. For vertical lines, the slope is undefined, and for horizontal lines, the slope is zero.
What is the slope on a graph called?
The slope on a graph is commonly referred to as the "gradient." It represents the rate of change of one variable with respect to another, indicating how steeply a line rises or falls. Mathematically, it is calculated as the change in the vertical axis (y-axis) divided by the change in the horizontal axis (x-axis), often expressed as "rise over run."
What does m stand for in the equation y mx b?
In the equation ( y = mx + b ), the letter ( m ) represents the slope of the line. The slope indicates how steep the line is and the direction it is going; a positive slope means the line rises as it moves from left to right, while a negative slope means it falls. The slope is calculated as the change in ( y ) (vertical) divided by the change in ( x ) (horizontal) between two points on the line.
A ball rolls off the edge of a horizontal tabletop. 4.23 ft high it strikes the floor at the point 5.11 ft horizontal away from the edge of the table for how long was the ball in the air?
Ignoring air resistance, any falling object falls 4.23 feet in the first 0.513 second.The horizontal distance doesn't matter, and we don't need to know it. The time it takes to hitthe floor after it rolls off the edge has nothing to do with how fast it was rolling before it fell.
What are the two types of motion a projectile has?
If you throw ball at an angle above horizontal, you will see the path of the ball looks like an inverted parabola. This is result of the fact that the ball's initial velocity has a horizontal and vertical component. If we neglect the effect of air resistance, the horizontal component is constant. But the vertical component is always decreasing at the rate of 9.8 m/s each second. To illustrate this, let the initial velocity be 49 m/s and the initial angle be 30˚. Horizontal component = 49 * cos 30, Vertical = 49 * sin 30 = 24.5 m/s As the ball rises from the ground to its maximum height, its vertical velocity decreases from 24.5 m/s to 0 m/s. As the ball falls from its maximum height to the ground, its vertical velocity decreases from 0 m/s to -24.5 m/s. Since the distance it rises is equal to the distance it falls, the time that it is rising is equal to the time it is falling. This means the total time is equal to twice the time it is falling. This is the reason that the shape of the ball's path is an inverted parabola. At the maximum height, the ball is moving horizontally. If you do a web search for projectile motion, you will see graphs illustrating this.
What is the magnitude of the velocity of a vertical projectile at its maximum height is equal to?
The horizontal component of a projectile's velocity doesn't change, until the projectile hits somethingor falls to the ground.The vertical component of a projectile's velocity becomes [9.8 meters per second downward] greatereach second. At the maximum height of its trajectory, the projectile's velocity is zero. That's the pointwhere the velocity transitions from upward to downward.
Why the horizontal velocity component remains constant and the vertical velocity component continuously changes during projectile motion?
The horizontal velocity component remains constant because there are no horizontal forces acting on the projectile (assuming no air resistance), so the velocity remains unchanged. The vertical velocity component changes due to the force of gravity, which accelerates the projectile downward, increasing its velocity as it falls.
How will the path of the ball appear to you if you accidentally drop a ball while inside a moving bus?
If the bus is moving at a constant horizontal velocity relative to you and the ball, there is no horizontal acceleration and therefore no horizontal force. The only force acting on the ball is gravity, which is vertical, so the ball will just fall straight down next to you.
If something like an animal flying through the sky with horizontal velocity drops an object will the dropped object have horizontal velocity Or just vertical velocity?
It will have both horizontal and vertical velocity...think about it, if you were said bird flying through the sky at say 35 mph, and you dropped a rock then the rock would fall, but it would still be moving forward and it would fall the same way a baseball falls after it reaches the top of the throw.
How do you use a protractor when you draw an angle of 75?
Draw a straight horizontal line, and a vertical line in the middle of it. Now line these up the the lower edge of your protractor, with the vertical line in the middle of your protractor (at the 90 degree marking). Now, find the 75 degree marking on the protractor, and mark on the piece of paper where it falls. Draw a line from centre of your horizontal line, to the mark of where 75 degree is. You're done!
How high are the Della Falls in British Columbia?
the falls are a vertical drop of about 440 meters.
Is the vertical velocity of a projectile constant?
No, the vertical velocity of a projectile changes continuously due to the force of gravity pulling it downward. Initially, the vertical velocity may be at its maximum, but as the projectile rises, the velocity decreases until it reaches zero at the peak of its trajectory, after which it starts to increase again as it falls back down.
How does gravity affect the 2 components of projectile motion?
-- Gravity causes the vertical component of projectile motion to vary according to the local acceleration of gravity. -- Gravity has no effect at all on the horizontal component of projectile motion.
Is the vertical motion of a projectile dependent on its horizontal motion?
They fall at the same rate. So if you aim at an object before it falls from a height and shoot just as it is released then the projectile will hit the falling object. This happens because gravity is always the same (at small heights) and has the same effect on the object with no horizontal displacement as it does on the projectile with horizontal displacement.
What falls standing up and runs laying down?
The answer to this riddle is "rain." Rain falls from the sky in a vertical direction, resembling a standing position, and it "runs" or travels along the ground in a horizontal manner when it lands, akin to lying down. This riddle plays on the dual nature of rain's movement depending on its position in the atmosphere and on the ground.
Does the horizontal velocity of a ball affect how fast it falls?
No. The force depends only on the height of the ball and on the mass of the ball. The force due to the earth's gravitional field varies inversly with the distance from the center of the earth to the center of the ball.
