Calculating Force Required to Pull Copper Ball Upward

In summary, the question asks for the force needed to pull a copper ball with a radius of 3.00 cm upward through a fluid at a constant speed of 9.00 cm/s. The drag force is proportional to the speed with a proportionality constant of 0.950 kg/s, and the buoyant force is ignored. To find the force, the mass of the copper ball needs to be calculated first. The net force is zero when the speed is constant, meaning the copper ball is in a state of constant velocity.
  • #1
shiri
85
0
Calculate the force required to pull a copper ball of radius 3.00 cm upward through a fluid at the constant speed 9.00 cm/s. Take the drag force to be proportional to the speed, with proportionality constant 0.950 kg/s. Ignore the buoyant force.

For this question, do I have to find the mass of a copper ball first, right?
 
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  • #2
shiri said:
Calculate the force required to pull a copper ball of radius 3.00 cm upward through a fluid at the constant speed 9.00 cm/s. Take the drag force to be proportional to the speed, with proportionality constant 0.950 kg/s. Ignore the buoyant force.

For this question, do I have to find the mass of a copper ball first, right?
You've got an unknown force pulling up, and a drag force acting down. Anything else acting down?
 
  • #3
Hello shiri, remember when the speed is constant we have the special case of 1st Law of Newton.
 
  • #4
Cyclovenom said:
Hello shiri, remember when the speed is constant we have the special case of 1st Law of Newton.

if the net force is zero, so is that mean the copper ball is in a constant velocity?
 
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What is the formula for calculating the force required to pull a copper ball upward?

The formula for calculating the force required to pull a copper ball upward is F = mg, where F is the force in newtons, m is the mass of the copper ball in kilograms, and g is the acceleration due to gravity in meters per second squared.

How do I determine the mass of the copper ball?

The mass of the copper ball can be determined by using a scale or balance to measure its weight in kilograms. Alternatively, the density of copper (8.96 g/cm3) can be used to calculate the mass by multiplying the density by the volume of the ball.

What is the acceleration due to gravity?

The acceleration due to gravity is a constant value, approximately 9.8 m/s2, which represents the rate at which objects accelerate towards the Earth's surface under the influence of gravity.

Is there a specific unit for force?

Yes, the unit for force is newtons (N). Other common units include pounds (lb) and kilograms (kg).

Can the force required to pull a copper ball upward change?

Yes, the force required to pull a copper ball upward can change depending on factors such as the mass of the ball, the acceleration due to gravity, and the angle or direction of the pull.

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