Concept explainers
The 2000 kg cable car shown in FIGURE P7.42 descends a 200-m-high hill. In addition to its brakes, the cable car controls its speed by pulling an 1800 kg counterweight up the other side of the hill. The rolling friction of both the cable car and the counterweight are negligible.
a. How much braking force does the cable car need to descend at constant speed?
b. One day the brakes fail just as the cable car leaves the top on its downward journey. What is the runaway car's speed at the bottom of the hill?
FIGURE P7.42
Trending nowThis is a popular solution!
Chapter 7 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
- Starting from rest, a rectangular toy block with mass 300 g slides in 1.30 s all the way across a table 1.20 m in length that Zak has tilted at an angle of 42.0 to the horizontal. a. What is the magnitude of the acceleration of the toy block? b. What is the coefficient of kinetic friction between the block and the table? c. What are the magnitude and direction of the friction force acting on the block? d. What is the speed of the block when it is at the end of the table, having slid a distance of 1.20 m?arrow_forwardA box is projected upward onto a ramp that has a 15 degree incline. I know knows that it starts with an initial velocity of 8 m / s. The coefficient of kinetic friction between the box and the ramp is 0.12. Determine the following: a. The distance the box will travel on the ramp. b. The speed of the box when it returns to its original position.arrow_forward7arrow_forward
- SA3. A block is given an initial velocity of 5.00 m/s up a frictionless 20.0° incline. How far up the incline does the block slide before coming to rest? SA4. A man is pulling a crate along a concrete floor. This time, let's be specific. The crate has a mass of 100 kg and the man pulls with a force of 1 250 N. The coefficient of friction between the crate and the floor is 0.2. What is the acceleration of the crate? SA5. A horizontal force of 80 N is used to pull a 20 N wooden box moving toward the right along a horizontal, wood surface as shown. Calculate the magnitude of the frictional force acting on the box. Determine the magnitude of the force acting on the box. Determine the mass of the box. Calculate the magnitude of the acceleration of the box.arrow_forward2. A 175-kg roller coaster car is supposed to make a vertical loop with a diameter of 13.5 m, with the car on the inside of the loop. a. What is the minimum speed of the car at the top of the loop so that it doesn't come off of the tracks and fall to the ground? b. If the car is traveling at twice that speed, what is the magnitude of the normal force exerted on the car by the tracks?arrow_forwardMazie stands on her kitchen floor. The coefficient of kinetic friction between her socks and the floor is 0.35, and the coefficient of static friction is 0.42. She has a mass of 58 kg. b. Mazie slides across the floor at a speed of 1.3 m/s. What is the force of kinetic friction acting on her? c. Mazie climbs up on the roof of her house, which has an angle of 25°. The coefficient of static friction between her and the roof is 0.35. Will she slip off the roof? Explain your answer. d. Given that μ s = 0.35, what is the maximum angle the roof could have without her slipping?arrow_forward
- Researchers have measured the acceleration of racing greyhounds as a function of their speed; a simplified version of their results is shown. The acceleration at low speeds is constant and is limited by the fact that any greater acceleration would result in the dog pitching forward because of the force acting on its hind legs during its power stroke. At higher speeds, the dog’s acceleration is limited by the maximum power its muscles can provide. a. What is the agent of the force that causes the dog to accelerate?b. If the dog’s mass is 32 kg, what is the average force acting on it during its initial acceleration phase?c. How far does the dog run in the first 4.0 s?arrow_forward2. You pull with a force of 255 N on a rope that is attached to a block of mass 30 kg, and the block slides across the floor at a constant speed of 1.1 m/s. The rope makes an angle of 0 = 40° with the horizontal. Both the force and the velocity of the block are in the xy plane. The block moves only along the direction parallel to the floor. See the figure for a diagram of this situation. a. What is the net force on the block? Explain your b. c. reasoning. Is there friction between the block and the floor? How do you know? Rope 40° 15₂ Draw a Free Body Diagram for the block. Find the magnitude and direction of each force, and express them as vectors.arrow_forwardTwo blocks are connected by a light string that passes over a frictionless pulley. The system is released from rest while m2 is on the floor and m1is a distance h above the floor. a. Assuming m1 > m2, find an expression for the speed of m1 just as it reaches the floor. b. Taking m1 = 6.5 kg, m2 = 4.2 kg, and h = 3.2 m, evaluate your answer to part (a) c. find the speed of each block when m1 has fallen a distance of 1.6 m.arrow_forward
- A lamp hangs vertically from a cord in a descending elevator. The elevator has a deceleration of 2.4 m/ s2 before coming to a stop. A. If the tension in the cord is 89 N, what is the mass of the lamp? B. What is the tension in the cord when the elevator ascends with an upward acceleration of 2.4 m/ s2 ?arrow_forwardDolphins and other sea creatures can leap to great heights by swimming straight up and exiting the water at a high speed. A 210 kg dolphin leaps straight up to a height of 7.0 m. When the dolphin reenters the water, drag from the water brings it to a stop in 1.5 m. Assuming that the force of the water on the dolphin stays constant as it slows down,a. How much time does it take for the dolphin to come to rest?b. What is the force of the water on the dolphin as it is coming to rest?arrow_forward6.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning