Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N

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In summary, a 3 kg flowerpot is dropped from a tall building with an initial speed of zero. Neglecting air resistance, the magnitude of the force acting on the pot 1.5 seconds after it begins to fall is unknown. After falling 26 meters, its speed is approximately 16 m/s. Upon entering a viscous liquid, the pot is brought to rest over a distance of 1.5 meters with a deceleration of approximately 17.41 m/s2. The force exerted on the liquid by the pot is unknown, but can be found using F=ma where a is the deceleration.
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Naeem
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Falling Flowerpot

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A 3 kg flowerpot drops from a tall building. The initial speed of the pot is zero, and you may neglect air resistance.


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a) What is the magnitude of the force acting on the pot while it is in the air 1.5 s after it begins to fall?
|F| = N *


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b) After the pot has fallen 26 m, what is its speed?
|v| = m/s *
sqrt(2*9.81*26) OK

HELP: Apply the appropriate formula from one-dimensional kinematics with constant acceleration.


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c) After the pot has fallen 26 m, it enters a viscous liquid, which brings it to rest over a distance of 1.5 m. Assuming constant deceleration over this distance, what is the magnitude of this deceleration?
|a| = m/s2 *
9.81*26/1.5 OK


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d) What is the force exerted on the liquid by the pot?
Ft = N

Need help with part d. Some guidance requested please!
 
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  • #2
A constant decceleration means a constant force is applied to it. Use F=ma to find the force the liquid exerts on the pot.
 
  • #3


To determine the force exerted on the liquid by the pot, we can use the formula Ft = m*a, where Ft is the force, m is the mass of the pot, and a is the acceleration. Since the pot is decelerating, the acceleration will be negative. We can use the value of the deceleration calculated in part c and the mass of the pot (3 kg) to calculate the force exerted on the liquid.

Ft = 3 kg * (-6.54 m/s^2) = -19.62 N

Therefore, the force exerted on the liquid by the pot is 19.62 N in the opposite direction of the pot's motion. This force is caused by the pot's deceleration and its interaction with the liquid.
 

FAQ: Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N

What is the equation Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N?

The equation Ft = m*a is known as Newton's second law of motion. It states that the force (Ft) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). In this specific example, the force is calculated to be 441.13 Newtons.

What units are used in the equation Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N?

The equation uses the International System of Units (SI), which includes kilograms (kg) for mass, meters per second squared (m/s^2) for acceleration, and Newtons (N) for force.

What does the value 9.81 represent in the equation Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N?

The value 9.81 represents the gravitational acceleration on Earth, which is commonly used in physics equations. It is the acceleration that a freely falling object experiences due to the force of gravity.

How is the equation Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N used in real-life situations?

This equation is frequently used in mechanics and engineering to calculate the force needed to move an object with a given mass and acceleration. It can also be used to analyze the motion of objects in various scenarios, such as free fall or on an inclined plane.

What is the significance of the units in the equation Ft = m*a = 3 kg * (9.81*26/1.5) = 441.13 N?

The units in this equation are significant because they help to ensure that the calculations are accurate and consistent. By using the correct units, scientists and engineers can communicate and compare their findings more effectively.

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