A 2.00 ×102-g particle is released from rest at point A  on the inside of a smooth hemispherical bowl of radius R =30.0 cm (Fig. P5.73). Calculate (a) its gravitational potential energy at A relative to B , (b) its kinetic energy at B , (c) its speed at B , (d) its potential energy at C relative to B , and (e) its kinetic energy at C.

particle in the xy plane travels along a spiral path C beginning at a point P that is 8 units from the origin and ending at a point Q that is 2 units from the origin. The particle makes 2.5 revolutions around the origin along the way. What is the work done by the gravitational field F(x,y) = -x/(x^2=y^2)^3/2 i + -y/(x^2+y^2)^3/2 j in moving the particle along its path. Enter your answer as an integer or a deimal rounded to 3 places

0 Question 1 The potential gravitational energy of a mass can be a negative value. True O False 1 pts

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.60m, object 2 has mass 2.21m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23) This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system became zero, how high…