In physics, What is meant by a proportional relationship? Is this the same as a linear relationship? Explain.

Useful constants:  k=9.00×109 N.m2/C2  ε0= 8.85×10-12 C2/N.m2  µ0=4π×10-7 T.m/A  mp=1.67×10-27 kg  me=9.11×10-31 kg  e=1.6×10-19 C  g=10.0 m/s2

A projectile is modelled by the function 9.81 -t' + vot + ho, 2 h(t) with h measured in meters. Using the table of given information below, find the first time the projectile reaches a height of 12.0 m. Round your answer to 2 decimal places. VO= 15.64 m/s ho = 1.5 m Your Answer: Answer units

A piece of wire of length 1.00 m is cut into two parts, one of which is bent into a shape of a circle and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum?

1.) If a 1.00 kg bag containing eight apples costs $1.48 , how much does one apple cost? What mass of apples costs $1.00? 2.) A student was given two metal cubes that looked similar. One was 1.05cm on an edge and had a mass of 14.32 grams; the other was 2.66 cm on a side and had a mass of 215.3 grams. How can the student determine if these two cubes of metal are the same material using only the data given?

You purchased 5.2kg of apples from a store. You noticed that they used the smallest division of 4.2 g to weight them. What is the relative error of this weight measurement as a percentage. You want to calculate the area of your dorm which is in a rectangular shape. You measure the length and the width of the room as L= 4.8+(-.01) m, W= 4.4+(-.01) m. What is the absolute error in the area in m^2 units?

I need help with this question. I also don't know what the units should be for the answer. Is it m/s^2 or is it kg m/s^2

The average distance, d, that a Galapagos tortoise travels during a day scales with the tortoise’s mass, m, as: d is proportional to m^2/3. If a 50 kg tortoise travels 400m in a day, how far does a 200kg tortoise travel?

A cube of material has sides 1 unit, and variable density which is given by p(x, Y, z) = 3 + 4xy – z, where all of x, y, z are between 0 and 1. Evaluate the mass of the cube; give your answer as a decimal to 1 d.p. Answer:

The drag force F on a boat is jointly proportional to the wetted surface area A on the hull and the square of the speed s of the boat. A boat experiences a drag force of 220 lb when traveling at 5 mi/h with a wetted surface area of 40 ft2. How fast must a boat be traveling if it has 28 ft2 of wetted surface area and is experiencing a drag force of 150 lb? (Round your answer to two decimal places.)  mi/h