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- Two blocks are positioned on surfaces, each inclined at the same angle of 44.0 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 6.84 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.250. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2?Consider a large truck carrying a heavy load, such as steel beams. A significant hazard for the driver is that the load may slide forward, crushing the cab, if the truck stops suddenly in an accident or even in braking. Assume, for example, that a 15000-kg load sits on the flatbed of a 20000-kg truck moving at 15.0 m/s. Assume the load is not tied down to the truck and has a coefficient of static friction of 0.600 with the truck bed. (a) Calculate the minimum stopping distance for which the load will not slide forward relative to the truck. (b) Is any piece of data unnecessary for the solution? (Select all that apply.) mass of the loadmass of the truckvelocitycoefficient of static frictionall are necessaryTwo blocks are positioned on surfaces, each inclined at the same angle of 45.1 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 7.86 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.540. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at a constant velocity? 17.02 kg 2.36 kg 26.17 kg 7.86 kg
- Two blocks are positioned on surfaces, each inclined at the same angle of 40.7 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.70 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.280. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at an acceleration of 1.5 m/s^2?. A car is traveling at 50.0 km/h on a flat highway. (a) If the coefficient of friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop? (b) What is the stopping dis- tance when the surface is dry and the coefficient of friction is 0.600?Two boxes (Box A = 9.7 kg and Box B = 5.4 kg) are connected by acord running over a pulley. The coefficient of kinetic friction betweenbox A and the table is 0.18. We ignore the mass of the cord and pulleyand any friction in the pulley, which means we can assume that a forceapplied to one end of the cord will have the same magnitude at theother end. We wish to find the tension of the cord while accelerating (inN), assuming the cord doesn’t stretch. As box B moves down, box Amoves to the right. Hint: Solve for the acceleration of the system first.
- Two blocks are positioned on surfaces, each inclined at the same angle of 52.4 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 5.40 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.350. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at an acceleration of 1.5 m/s^2? 1.98 kg 2.55 kg 4.61 kg 2.07 kgTwo blocks are positioned on surfaces, each inclined at the same angle of 42.7 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 4.44 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 7.03 kg 2.94 kg 10.55 kg 4.69 kgTwo blocks are positioned on surfaces, each inclined at the same angle of 54.5 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 7.57 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.360. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at a constant velocity?
- Two blocks are positioned on surfaces, each inclined at the same angle of 53.1 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.31 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.500. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at a constant velocity? 1 1.50 kg 2 7.29 kg 3 3.31 kg 4 5.30 kgModified from the AP College Board Engineers are tasked with designing a new solar system themed roller coaster ride. The track starts at Point P, at the top of a sphere with radius R (representing Jupiter). The track goes down to ground level, then to Point Q, the top of a sphere of radius r (representing Neptune) and then back to the ground level. Ignore air resistance, and assume friction between the cart and the track is negligible Jupiter Radius R Neptune radius rTwo blocks are positioned on surfaces, each inclined at the same angle of 42.2 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 6.63 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.550. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at a constant velocity?