Newton's law of universal gravitation is represented by Mm F = G where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg m/s?. What are the SI units of the proportionality constant G?
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- As an architect, you are designing a new house. A window has a height between 130 cm and 140 cm and a width between 64 cm and 60 cm. What is the largest area that the window could be?The magnitude F (in newtons) of a force F and the magnitude G (in newtons) of a force G satisfy the vector equation 2Fi-3Fj+2Gi+2Gj-3i=0 where i and j are the Cartesian unit vectors. What is the value of F? 9 10 3 O 5/60/5 10 06Which one are units and explain ?
- Calculate the mass (in SI units) of a 140 lblb human being. Express your answer with the appropriate units.Two vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i already found out magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?2.
- Kirsten Biorn has just given birth to a bouncing 8 lb, 8 oz baby girl. How should she describe the weight of her child to her brother, who lives in Denmark — in metric units, of course? (1 lb= 16 oz exactly, 1 lb= 454 g).In the following calculations, be sure to express the answer in standard scientific notation with the appropriate number of significant figures. 3.78 x < 107 g – 4.701 × 105 g - x 10 gSuppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).
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