Two objects with masses of 3.00 kg and 5.00 kg are connected by a light string that passes over a frictionless pulley, as in Figure P4.38. Determine (a) the tension in the string, (b) the acceleration of each object, and (c) the distance each object will move in the first second of motion if both objects start from rest.FIGURE P4.38

Two objects with masses of 3.00 kg and 5.00 kg are connected by a light string that passes over a frictionless pulley, as in Figure P4.38. Determine (a) the tension in the string, (b) the acceleration of each object, and (c) the distance each object will move in the first second of motion if both objects start from rest.FIGURE P4.38

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 33P: Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33....

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Review. A block of mass m = 2.00 kg is released from rest at h = 0.500 m above the surface of a table, at the top of a = 30.0 incline as shown in Figure P4.53. The frictionless incline is fixed on a table of height H = 2.00 m. (a) Determine the acceleration of the block as it slides down the incline. (b) What is the velocity of the block as it leaves the incline? (c) How far from the table will the block hit the floor? (d) What time interval elapses between when the block is released and when it hits the floor? (e) Does the mass of the block affect any of the above calculations? Figure P4.53 Problems 53 and 59
You push an object, initially at rest, across a frictionless floor with a constant force for a time interval t, resulting in a final speed of v for the object. You then repeat the experiment, but with a force that is twice as large. What time interval is now required to reach the same final speed v? (a) 4 t (b) 2 t (c) t (d) t/2 (e) t/4
Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33. (a) If the elevator moves with an upward acceleration a of magnitude 1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before a string breaks? Figure P4.33 Problems 33 and 34.
A car has a mass of 1750 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 6500 N. If the car is moving at 22 m/s, what is the shortest distance in which the car can stop safely?
In the figure, block A has a mass of 4.00 kg. It rests on a smooth horizontal table and is connected by a very light horizontal string over an ideal pulley to block B, which has a mass of 3.5 kg. When block B is gently released from rest, how long does it take block B to travel 90 cm? B. O 0.404 s 0.785 s 0.494 s O 0.62 s O 0.935 s A.
54. Objects of masses m, = 4.00 kg and m, = 9.00 kg are connected by a light string that passes over a fric- tionless pulley as in Figure P4.54. The object m, is held m at rest on the floor, and m, rests on a fixed incline of 0 = 40.0°. The objects are released from rest, and m, slides 1.00 m down the incline in 4.00 s. Determine (a) the acceleration of each object, (b) the tension in the string, and (c) the coefficient of kinetic friction between m, and the Figure P4.54 incline.
A magician pulls a tablecloth from under a 200 g mug located 15.0 cm from the edge of the cloth. The cloth exerts a friction force of 0.100 N on the mug and is pulled with a constant acceleration of 3.00 m/s2. How far does the mug move relative to the horizontal tabletop before the cloth is completely out from under it? Note that the cloth must move more than 15 cm relative to the tabletop during the process.
Laila, who is a part of a critical patient's medical team was responsible for pushing a cart including a transport organ box containing a viable heart and other medical supplies needed for a heart transplant. In a rush, she pushed the 60.0 kg cart (this includes the supplies in it) down the long OR hallway. With the cart accelerating at 4.00 m/s/s with a force of 550 N, how much friction is acting on the cart + equipment due to its mass?
A fisherman has caught a very large, 5.0 kg fish from a dock that is 2.0 m above the water. He is using lightweight fishing line that will break under a tension of 54 N or more. He is eager to get the fish to the dock in the shortest possible time. If the fish is at rest at the water’s surface, what’s the least amount of time in which the fisherman can raise the fish to the dock without losing it?
A 5000 kg lorry gradually accelerates from rest. There is a box of mass 200 kg on the back of the lorry. The box is not tied to the lorry. The lorry accelerates from rest to a speed of 15 m/s over a certain distance. The maximum frictional force between the lorry and the box is 630 N. The maximum acceleration (in m/s^2) that the lorry can have without the box falling off is:
Dave with a mass of 60 kg goes tubing down a 20 m long hill that has an angle off the horizon of 25º. (Gravity applies) a. He gets a push from the bottom of the hill, so his initial velocity is 2 m/s. How far up the hill will he go before stopping? (there’s no friction) b. He goes back down the hill and then his friend Jill tries to pull him on the tube across a small patch of grass (μk=0.30). If she is pulling parallel to the ground at constant 5 m/s for 5 sec how much power does she expend? c. After climbing back uphill, Dave decided to roll down the hill instead. If he were to be a long cylinder with a radius of 0.1 m, what is his moment of inertia? d. After rolling without slipping down the hill, what is Dave’s final velocity at the bottom of the hill? What is his angular velocity at the bottom of the hill? Dave with a mass of 60 kg goes tubing down a 20 m long hill that has an angle off the horizon of 25º. (Gravity applies) He gets a push from the bottom of the hill, so his…
mi 65. mo Figure P4.64 (Problems 64, 65, and 67) TObjects with masses m₁ = 10.0 kg and m₂ = 5.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.64. If, when the system starts from rest, mo 1.00 m in 1.20 s, determine the coefficient of kinetic friction falls between m1 and the table.