The 800-kg car at B is connected to the 350-kg car at A by a spring coupling. Determine the stretch in the spring in meters if: (a) the wheels of both cars are free to roll and; (b) the brakes are applied to all four wheels of car B, causing the wheels to skid. The coefficient of kinetic friction at B is 0.4. Neglect the mass of the wheels. B k = 600 N/m A) (a) 0; (b) 0.955 B) (a) 0.955; (b) 0 (a) 0.595; (b) 0.955 D) (a) 0.595; (b) 0 10

The force Pis applied to the 52-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 184 N, and (c) P = 245 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are ug = 0.20 and µ = 0.16, respectively. The friction force is positive if up the incline, negative if down the incline. 52 kg 21° H, = 0.20 H = 0.16 13 Answers: (a) F= i N (b) F = i N (c) F= i N (d) P= i N

Give the solution.

2. The car, having a mass of 1000 kg, is traveling horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is us = 0.3, determine the minimum and maximum constant speed at which the car can travel without sliding down and up the slope. Neglect the size of the car. e= 20°

5. Considering the buggy shown below, prove that the force applied is m₂g(M+m₁+m₂) m1 given that the masses stay stationary relative to the cart and assume no friction. Show that the units work. 15 F m1 M mo

The 80.0-lb boy at A is suspended from the cable that passes over the quarter circular cliff rock as shown in (Figure 1). Determine if it is possible for the 195-lb woman to hoist him up. The coefficient of static friction between the cable and the rock is μ = 0.2, and between the shoes of the woman and the ground ₂ = 0.8. Figure 1 of 1 Part A Determine the tension in the portion of the cable that the woman is holding. Express your answer to three significant figures and include the appropriate units. F= Submit Part B Fmax = = Submit HA Value Request Answer O Determine the maximum possible force due to friction that opposes the motion of the woman. Express your answer to three significant figures and include the appropriate units. μA Value wwww Request Answer Units ? Units ?