Learning Goal: Once you have decided to solve a problem using Newton's 2nd law, there are steps that will lead you to a solution. One such prescription is the following: • Visualize the problem and identify special cases. • Isolate each body and draw the forces acting on it. • Choose a coordinate system for each body. Apply Newton's 2nd law to each body. • Write equations for the constraints and other given information. • Solve the resulting equations symbolically. • Check that your answer has the correct dimensions and satisfies special cases. • If numbers are given in the problem, plug them in and check that the answer makes sense. • Think about generalizations or simplifications of the problem. As an example, we will apply this procedure to find the acceleration of a block of mass m2 that is pulled up a frictionless plane inclined at angle 0 with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass m₁ that is hanging vertically. (Figure 1) Part H Solve and check In the previous parts, you obtained the following equations using Newton's 2nd law and the constraint on the motion of the two blocks: m2a2x T-m2g sin(0), (1) = m1a1yTm1g, (2) a2x = -aly. (3) and Solve these equations to find aly. Before you enter your answer, make sure it satisfies the special cases you already identified: Figure block 2 block 1 1 of 2 > • aly -g if m2 = 0 and . aly = 0 if m1 = m2 and 0 = π/2. Also make sure that your answer has dimensions of acceleration. Express aly in terms of some or all of the variables m1, M2, 0, and g. ▸ View Available Hint(s) aly = Submit ΕΠΙ ΑΣΦ ?

1. What are the SI units of mass, acceleration, weight, and force? 2. List 3 types of contact forces and one long-range force (names and symbols).    3. What are the conditions for equilibrium (words and equations)?        4. A force is applied to a rope that is connected to two other ropes as shown. Draw a free body diagram for the O-ring connecting all 3 ropes and use Newton’s 1st Law to calculate the tensions in ropes 1 and 2.

Task 1: Vector components and free body diagrams Two essential concepts you were learning in the course up to this point were determining the components of a vector and drawing a free body diagram that represents the forces acting on an object. 1. For each of the following, determine the components that make up the resultant vector. a. F = 40 N 25° V-25N 15 E S 15% =25 m/s c. A person throws a ball with an initial velocity of 17 m/s, 65° above the horizontal. -17 m/s 65° X 2. For each of the following draw a free body diagram that includes all of the forces acting on the object described. a. A 40 kg box on a level floor is pulled by a rope attached to the box. The ropes makes an angle of 21° with the horizontal. A force of friction opposes the motion. b. A refrigerator sits on a level floor and a person tries to push on it with a force parallel to the floor. The refrigerator does not move.

F= (5.00 N/m²)æ² force is directed at an angle of 37.0° with the + x axis acts on an object with mass 0.48 kg as the object moves parallel to the x-axis. There are no other forces on the object that have components parallel to the x axis. Part A Calculate the objects speed at x = 3.4 m if it has a speed of 400 cm/s at x = 1.6 m? m/s

2. Please help me answer both parts to this physics question.

A0.040-kg golf ball hangs by a string from the rearview mirror of a car, as shown in (Figure 1). The car accelerates in the forward direction with a magnitude of 2.6 m/s?. • Part A What angle e does the string make with the vertical? Express your answer to two significant figures and include appropriate units. ? Value Units Submit Request Answer • Part B What is the tension in the string? Express your answer to two significant figures and include appropriate units. ? Value Units Submit Request Answer Figure Provide Feedback

The forces, F 1, F2, and F3 act on an object of mass m = 6.5 kg as shown below. a) Calculate the magnitude and direction of the net force acting on the particle. b) Calculate the particle’s acceleration. c) What should be the magnitude and direction of the fourth force such that the object remains in equilibrium?

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Conceptual Problem 2. Answer the following.

Question 2 Please show handwritten solution