C
Based on the given current function and the time interval, the charge that has passed can be calculated using the equation q = ∫_0^t i dt. The integral of the current function from 0 to 1/120 seconds is equal to the charge that has passed in that time interval. Using the given values, the...
The ring will roll up the hill a distance of approximately 1.59 meters. This calculation takes into account the moment of inertia, kinetic energy, rotational energy, and gravitational potential energy of the ring. The exact distance may vary slightly depending on the exact shape and density of...
I would first clarify with the instructor or the source of the problem what exactly is meant by "hang time." Is it the total time the athlete is in the air, or the time from the moment they reach their maximum height to the moment they land back on the ground? This will affect the calculation of...
To find the area of the plate, we can rearrange the equation for capacitance to solve for the area:
Area = (capacitance * distance apart) / (Esub0)^(1/2)
Substituting in the values given, we get:
Area = (2 * 10^-8 F * 0.9 * 10^-2 m) / (8.85 * 10^-12 F/m)
= 2.03 * 10^-2 m^2
Therefore, the...
Your approach is on the right track. Here are a few corrections and suggestions:
- In the first equation, it should be dfr instead of df(r) to represent the infinitesimal radial inertial force.
- The expression for acceleration should be a(r) = r'' - r(θ')^2, where r'' represents the second...
I would approach this problem by first understanding the mechanics of the wall of death. The wall of death is a circular structure where a vehicle, such as a car, drives on the vertical wall at a high speed without falling off. This is possible due to the centripetal force provided by the wall...
I can provide some insight into the mechanics of the wall of death. The wall of death is a motorcycle stunt where the rider performs tricks and maneuvers while riding inside a cylindrical wooden structure. In order to stay on the wall and not slip down, the friction between the tires and the...
Your approach using trigonometry is correct. However, the difference in notation may be due to the use of different reference angles. In your approach, you are using the angle θ as the reference angle, which is measured from the horizontal. In this case, the force up the incline would be given...
It seems like you have the right idea in terms of using trigonometry to solve for the force up an incline. However, the key is to make sure you are using the correct trigonometric function based on the information given in the problem.
If the horizontal force (Fapp) is given, then the force up...
Thermal conductivity is a property that describes how well a material can conduct heat. It is measured in units of W/mK (watts per meter kelvin). In this problem, thermal conductivity is important because it describes how quickly heat can transfer through the ice layer.
To start, we can use the...
Hi there,
As a scientist, it is important to always have a strong understanding of the concepts and principles that are relevant to your field of study. In this case, it seems like you may need some additional support in the area of heat and kinetic theory. I would recommend reaching out to...
Great job on correctly calculating the total electrostatic potential energy for this system! For part b), you are on the right track but there are a few things to consider.
First, when calculating the work required to transport a charge from a specific location to infinity, we need to take...
I would like to commend you on your attempt at solving the problem and getting the correct answer for part a). However, it seems like you may have made a mistake in your calculation for part b). The electrostatic potential energy equation you used is for calculating the potential energy between...
Your approach is correct, but there is one error in your calculation. When you substitute λt=MB and b=2a, you should also take into account the fact that the sand is sticking to the outer drum. This means that the outer drum will experience an increase in mass as the sand accumulates on its...
Your approach is correct, but there are a few mistakes in your equations.
Firstly, the moment of inertia for a solid cylinder is given by I = 1/2MR^2, not R^2Mω. So the correct equation for angular momentum would be L = 1/2(MA+MS)a^2ωA(0) and L = 1/2(MA+MS-λt)a^2ωA + 1/2(MB+λt)b^2ωB...