Problem 5: Two blocks are stacked as shown to the right and rest on a frictionless surface. There is friction between the two blocks (coefficient of friction u). An external force is applied to the top block at an angle 0 to the horizontal. M2 What is the maximum force F that can be applied for the two blocks to move together? Give your answer in terms of the variables from the problem statement in addition to g for gravitational acceleration. Expression : F = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(), cos(0), sin(a), sin(4), sin(0), y, u, 0, d, g, m1, m2, n, q

Ball tied to the end of a 1 m long twine as shown it oscillates around a vertical circle under the influence of gravity. When the string makes an angle of 0 = 90 ° with the vertical, the ball has a velocity of 5 m / s. Find the radial component of the acceleration. a

Learning Goal: To understand Newton's law of universal gravitation and be able to apply it in two-object situations and (collinear) three-object situations; to distinguish between the use of G and g. In the late 1600s, Isaac Newton proposed a rule to quantify the attractive force known as gravity between objects that have mass, such as those shown in the figure. (Figure 1) Newton's law of universal gravitation describes the magnitude of the attractive gravitational force Fg between two objects with masses m₁ and m₂ as F₁ = G ( m₂ where r is the distance between the centers of the two objects and G is the gravitational constant. Figure m1m2 The gravitational force is attractive, so in the figure it pulls to the right on m₁ (toward m₂) and toward the left on m2 (toward m₁). The gravitational force acting on m₁ is equal in magnitude to, but exactly opposite in direction from, the gravitational force acting on m2, as required by Newton's third law. The magnitude of both forces is…

The first linear graph shows that the Force of Gravity depends is directly proportional to the mass of an object at a given location.  The second linear graph shows that the Force of Gravity is proportional to the Inverse Square of the distance between two bodies.  Research Newton’s Universal Law of Gravitation, and explain.