Base your answers to questions 94 the information and diagram below. A 1.00-kilogram sphere M, suspended by a string from point P, is lifted to a height h. The sphere is released and passes through the lowest point in its swing at a speed of 10.0 meters per second. [Neglect friction.] 10.0 m M. 1.00 kg 94. Calculate the height from which the sphere was released. 95. Calculate the magnitude of the centripetal force on the sphere as it passes through the lowest point in its swing. 96. The magnitude of the centripetal force on the sphere could be halved as it passes through the lowest point in its swing by doubling the (1) weight of the sphere, only (2) length of the string, only (3) height h and the weight of the sphere (4) the length of the string and height h

A child walking in a field makes three consecutive displacements. The child first moves 6.25 m westward, then 12.9 m northward. Finally, the child moves back to the starting point of the first displacement. What is the magnitude and direction of the child's third displacement? Give the magnitude in m and the direction as an angle south of east. magnitude 14.33 v m direction 115.18 Use trigonometric functions, along with the components of the vector sum, to find the angle. Check the direction against your diagram.° south of east Additional Matoriale

A vector has a magnitude of 2.8 m and points in a direction that is 135 counterclockwise from the a axis. You may want to review (Page 71).

You are wondering how high that hawk is, surveying your back yard from a perch at the top of an oak tree toward the back property line.  Remembering that you learned about vectors in physics, you measure off two components of a vector from your feet to the bird.  Let "x" be parallel to the back of your house, and "y" perpendicular to the house out to the base of the tree.  The vector to the bird would be (x, y, z).  If x is 49 and y is  70 meters, what would z be in meters such that the angle from your feet to the bird is 45 degrees?