What is the tension in the string in (Figure 1) ? The volume of plastic ball is 95 cm3 and the density is 840 kg/m3.
Well, I'll tell you, figuring out the tension in a string can be quite a task. It's like trying to find your phone when you've misplaced it for the umpteenth time. But fear not! I'm here to help, or at least provide you with some laughter along the way.
Now, let's get back to the question. To find the tension in the string, we need to take a look at the volume and density of the plastic ball. But don't get tangled up in the details just yet!
First, we need to convert the volume from cm3 to m3. It's like going from a pocket-sized toy car to a real-life, full-scale vehicle. Once we've got that sorted, we can multiply the volume by the density to find the mass of the plastic ball. And remember, mass is not the same as an extravagant ballroom gathering!
But wait, there's more! We can't forget that the tension in the string is equal to the force exerted by the ball. It's like trying to pull your friend away from an all-you-can-eat dessert buffet. So, we have to use good old Newton's second law, which states that force equals mass times acceleration.
All joking aside, once we determine the mass of the ball, with a few more calculations and a sprinkle of mathematical finesse, we can find the tension in the string. Just remember, laughter is the best stress reliever, not tension in strings!
To determine the tension in the string in (Figure 1), we will need some additional information. Please provide a description of the figure or any given data related to the tension in the string.
To find the tension in the string in Figure 1, we need to consider the forces acting on the string.
First, let's determine the weight of the plastic ball. The weight can be calculated using the formula:
weight = mass × gravity
The mass of the plastic ball can be found by multiplying its volume by its density:
mass = volume × density
Given that the volume of the plastic ball is 95 cm^3 and the density is 840 kg/m^3, we need to convert the volume to cubic meters before we can calculate the mass. Since 1 m^3 = 1,000,000 cm^3, the volume in cubic meters is:
volume (m^3) = volume (cm^3) / 1,000,000
Substituting the values, we have:
volume (m^3) = 95 cm^3 / 1,000,000 = 0.000095 m^3
Now we can calculate the mass:
mass = volume × density = 0.000095 m^3 × 840 kg/m^3
Next, we need to consider the forces acting on the ball. In Figure 1, there are two forces: the weight of the ball acting downward and the tension in the string acting upward. Since the ball is in equilibrium (not accelerating), the tension in the string must be equal in magnitude but opposite in direction to the weight of the ball. Therefore, the tension in the string is equal to the weight of the ball.
Once we have the mass of the ball, we can calculate the weight using the formula:
weight = mass × gravity
The value of gravity is approximately 9.8 m/s^2.
Substituting the mass, we have:
weight = mass × gravity
Finally, the tension in the string is equal to the weight of the ball, which is the value we just calculated.