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Calculate the magnitude of the force.F equals 30i -40j?

The magnitude of a vector F(x,y) is given by the square root of (x^2 + y^2). So for F = 30i - 40j, the magnitude would be the square root of (30^2 + (-40)^2), which equals approximately 50.0.


How many feet of cable do the X-40J Reels normally have?

The X-40J Reels typically come with 300 feet of cable. This length is designed to provide ample reach for various applications while maintaining optimal performance. Depending on specific use cases or custom orders, variations may occur, but 300 feet is the standard.


100 joules of heat plus to system of 60 joules of work?

The total energy added to the system is 160 Joules, comprising of 100 Joules of heat and 60 Joules of work. This increase in energy will lead to a rise in the system's internal energy.


An object 3 meters above the ground slides down a hill from rest If friction causes 40 joules of work to be done how fast is the object going at the bottom of the hill?

potential energy= mgh mgh - 40J = 1/2 mv2 v2 =(2(mgh-40))/m fill in the equation . m= mass g= acceleration due to graverty which is 9.81m/s2 h= height which is the 3meters


A TV set is pushed a distance of 2 m with a force of 20N that is in the same direction as the set moves How much work is done on the set?

The work done on the TV set is calculated using the formula Work = Force x Distance x cos(theta), where theta is the angle between the force and the direction of motion. Since the force and direction of motion are in the same direction, the angle is 0 degrees and cos(0) = 1. Therefore, the work done on the TV set is 20N x 2m x 1 = 40 Joules.


When 100 J of heat is added to a system that performs 60 J of work the thermal energy change of the system is?

The thermal energy change of the system can be calculated using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. Therefore, the thermal energy change would be 100 J (heat added) - 60 J (work done) = 40 J.


What is the potential energy of a book with mass of 2 kg book sitting on a shelf 2 meters above the ground?

The potential energy of the book can be calculated using the formula PE = mgh, where m is the mass (2 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (2 m). Substituting the values, we get PE = 2 kg * 9.8 m/s^2 * 2 m = 39.2 Joules.


How much work is done if a force of 20.0 N moves an object a distance of 6.0 m?

Work=(force)(distance) W=fd W=(20N)(3.5m) W=i'm sure you can do the math from here


Which produces the greater change in kinetic energy exerting a 10-n force for a distanceof 5m or exerting a 20-n force over a distance of 2m?

Strictly this should be done in terms of line integrals but for a constant force the result simplifies tochange in KE = Force * distanceso 10N over 5m changes KE by 50J and 20N over 2m changes KE by 40J.


A force of 20 N is required to lift a box the box is lifted from the floor to a shelf that is 2 m high the amount of work done is?

Oh, what a lovely question we have here! To find the amount of work done, we can use the formula: work = force × distance. In this case, the force is 20 N and the distance the box is lifted is 2 meters. So, the amount of work done to lift the box to the shelf is 40 joules. Happy little calculations!


A ball of weight 10N is dropped freely from rest at a height of 4 m.what is its total mechanical energy after it has traveled 1 meter?

If you are ignoring energy lost due to friction, the total mechanical energy will be the same after it has traveled 1 meter as when it was dropped. This means the easiest way to solve the problem is to find the mechanical energy at the beginning, when the ball is at rest and all of its mechanical energy is gravitational potential energy. Gravitational potential energy equals mass*g*height. Since mass*g equals weight, we can just multiply 10N by 4m, making the total mechanical energy 40J.After it has traveled 1 meter, some of the gravitational potential energy has been converted into kinetic energy. The gravitational potential energy is just the weight of 10N multiplied by the height of 3m, or 30J. To find the kinetic energy, we need to find velocity2, which equals 2 times acceleration (g) times displacement (1m) when the initial velocity is 0. We also need the mass, which is weight (10N) divided by g. Kinetic energy equals (1/2)*mass*velocity2, so we get (1/2)*10N÷g*2*g*1m, which equals 10J, so the total mechanical energy is still 40J.


What are the bra sizes from smallest to largest?

For this you need to understand sister sizes, which means a bra size whose cups hold the same volume as another bra size.For example, the sister sizes of the bra size 30D are:26DDD [US] or 26E [UK]28DD32C34B36A38AAAll of those bra sizes hold the same amount of breast tissue, but the size of the band and the width and projection of the cups changes. Someone who wears a 34B has a wider ribcage and shallow, spread-out breasts compared to someone who wears a 26E, who has a smaller ribcage and narrow, projected breasts.There are two graphics that show the relation of sister sizes. In each graphic, all the bra sizes that are in the same color row all hold the same amount of breast tissue.United Kingdom graphic: http://i.imgur.com/6KJjw.pngUnited States graphic: http://i.imgur.com/Sy2LsFf.jpgIn the UK graphic, the smallest bra sizes by volume is 28AA and 26A, while the largest sizes by volume are 50FF, 48G, 46GG, 44H, 42HH, 40J, 38JJ, and 36K.Currently, the largest cup size made in the UK system is LL, so the largest by volume would also include sizes 34KK, 32L, and 30LL.In the US graphic, the smallest bra sizes by volume are also 28AA and 26A (as well as 24B, which is not currently made), and the largest sizes by volume are 52DDD/E/F, 50DDDD/F/G, 48G/H/J, 46I/J/K, 44J, 42K, 40L, 38M, 36N.The largest cup letter currently made in the US is N, which is equal to a UK JJ cup. Brands that follow the UK sizing system, and make cups K, KK, L, and LL, therefore make more larger cups than the US, and may be suitable for women who outsize the US brand's N cupsIt is also worth noting that a couple of United States brands have adopted the UK lettering system as it makes much more sense. One such company is "Affinitas" and it's "Parfait by Affinitas" line. The smallest band commercially made is 28. You can also have 26 and 24 inch bands made by companies such as Ewa Michalak, or you can make them yourself. As more people start to realize that a large number of women need bands under 30", we will see more and more 28s, 26s, and 24s.

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