Consider the 65.0 kg ice skater being pushed by two others shown in the figure. Fot F₁ F₂ Free-body diagram F₂ F₁

1. Two boxes are in contact with each other, sitting on a flat surface. The mass of box 1 is mı= 8.75 kg, and the mass of box 2 is m2=5.50 kg. Box 1 is pushed with an external force of 33.0 N, in the direction of box 2, as seen in the image below. Assume you can ignore friction. m1 m2 (a) Draw and label a free body diagram for m1. (b) Draw and label a free body diagram for m2. (c) Find the magnitude of the force with which box 2 pushes on box 1. (d) Find the acceleration of the system

Consider the 65.0 kg ice skater being pushed by two others shown in the figure. F₁ Ftot F₁ Free-body diagram F₂ F₁ (a) Find the direction (in degrees) and magnitude (in N) of Ftot, the total force exerted on her by the others, given that the magnitudes F₁ and F₂ are 28.8 N and 18.6 N, respectively. direction ° (counterclockwise from the direction of F₁ is positive) N magnitude (b) What is her initial acceleration (in m/s²) if she is initially stationary and wearing steel-bladed skates that point in the direction of Ftot? (Assume the value of μ for steel on ice is 0.04.) (c) What is her acceleration (in m/s²) assuming she is already moving in the direction of Ftot? Remember that friction is always in the opposite direction of motion or attempted motion between surfaces in contact. m/s² (in the direction Ftot)

In Example 5.7, we pushed on two blocks on a table. Suppose three blocks are in contact with one another on a frictionless, horizontal surface as shown in the figure below. A horizontal force F is applied to m,. Take m, = 2.00 kg, m, = 3.00 kg, m, = 6.00 kg, and F = 19.0 N. m1 m3 (a) Draw a separate free-body diagram for each block. Choose File No file chosen (b) Determine the acceleration of the blocks. magnitude 1.73 m/s2 direction to the right v (c) Find the resultant force on each block. block 1 3.46 N block 2 5.19 N block 3 10.38 N

You have 40 kg friend lying on a 60 degree slope who needs your help. You toss them a rope and hold on tight to keep them from falling. If the coefficient of friction between and the slope is 0.3, how hard must you hang on in order to keep your friend from moving?

Analyze the free-body diagrams (FBDs) and place them in the indicated order according to the magnitudes of their net forces.