Blocks 1 and 2, with masses m1 = 4.0 kg and m2 =7.7 kg, respectively, sit on a frictionless table, connected by a lightweight, flexible cord. Block 2 is in turn connected to block 3 by a similar cord strung over a massless, frictionless pulley as shown. The tension in the cord connecting blocks 1 and 2 is 12 N. Determine the mass of block 3. (Answer in kg.)

Blocks 1 and 2, with masses m1 = 4.0 kg and m2 =7.7 kg, respectively, sit on a frictionless table, connected by a lightweight, flexible cord. Block 2 is in turn connected to block 3 by a similar cord strung over a massless, frictionless pulley as shown. The tension in the cord connecting blocks 1 and 2 is 12 N. Determine the mass of block 3. (Answer in kg.)

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 6OQ

See similar textbooks

Similar questions

Two packing crates of masses m₁ = 10.0 kg and m₂ = 7.10 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.10-kg crate lies on a smooth incline of angle 41.0°. Find the following. m₁ m₂ 8 (a) the acceleration of the 7.10-kg crate 4.123 X m/s² (up the incline) (b) the tension in the string N
Two packing crates of masses m₁ = 10.0 kg and m₂ = 7.30 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.30-kg crate lies on a smooth incline of angle 41.0°. Find the following. m₂ m₁ (a) the acceleration of the 7.30-kg crate 2.96 m/s² (up the incline) (b) the tension in the string 25.35 LCC
The figure shows two blocks connected by a lightweight string across a frictionless pulley. The hanging block has mass m1 = 6.00 kg and the second block has mass m2 = 3.50 kg. The ramp is frictionless and inclined at an angle of θ = 43.5° from the horizontal. When released from rest, block 1 will descend and block 2 will move up the ramp. (Assume the ramp is frictionless.) Determine the magnitude of each block's acceleration and the tension in the string.
Two blocks are connected by a string, as shown in the figure below. The rough inclined surface makes an angle of θ = 27o with the horizontal. The block on the incline has a mass of m1 = 4.8 kg. The hanging block has a mass of m2 = 3.5 kg. The coefficient of kinetic friction between the 4.8 kg block and the incline is μk = 0.19. Suppose the 4.8 kg block is already sliding. Neglect the mass of the string and pulley. Assume the pulley rotates on a frictionless axle. (Insert Image) (1) Find the magnitude and direction of the acceleration of the 4.8 kg block. Does the 4.8 kg block accelerate up or down the incline?(2) Find the tension in the string.
Blocks A and B are connected by a cable as shown in the figure. Block A weighs 3.5kg while block B weighs 2.75kg. A force P = 40.22N pulls block A through a rope causing it to accelerate at a rate of 2.5 m/s^2 to the left. The coefficient of friction between block A and the flat surface is 0.30. a). What is the tension on the cable that connects the two blocks?b). What is the coefficient of friction between block B and the flat surface?
The figure shows two blocks connected by a lightweight string across a frictionless pulley. The hanging block has mass m1 = 5.35 kg and the second block has mass m2 = 3.25 kg.The ramp is frictionless and inclined at an angle of θ = 42.5° from the horizontal. When released from rest, block 1 will descend and block 2 will move up the ramp. (Assume the ramp is frictionless.) Determine the magnitude of each block's acceleration and the tension in the string.
See the figure. A light string connects three blocks, two of which are being pulled across a frictionless horizontal tabletop as the third block is hanging from the massless pulley. Block A has a mass of mA = 2.50 kg, block B has a mass of m³ = 1.50 kg and block C has a mass of mc = 2.00 kg. Find: a) the tensions in the strings between the blocks, T₁ and T2; and b) the acceleration a of the system. Be sure to include the free-body diagram for all of the considered objects. T₂ A T₁ B с
Two blocks connected by a light horizontal rope sit at rest on a horizontal, frictionless surface. Block A has mass 15.0 kg, and block B has mass m. A constant horizontal force F = 60.0 N is applied to block A. In the first 5.00 s after the force is applied, block A moves 18.0 m to the right. (a) While the blocks are moving, what is the tension T in the rope that connects the two blocks? (b) What is the mass of block B?
Two blocks of mass M₁ and M₂ are connected by a massless string that passes over a massless pulley as shown in the figure. M₁ has a mass of 3.75 kg and rests on an incline of 0₁ = 65.5°. M₂ rests on an incline of 02 = 23.5°. Find the mass of block M₂ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. M2 M₂ = kg
Blocks A and B are connected by a cable as shown in the figure below. Block A weighs 3.5 kg, while block B weighs 2.75 kg. A force P = 40.22 N pulls block A through a rope causing it to accelerate at a rate of 2.5 m/s? to the left. The coefficient of friction between block A and the flat surface is 0.30. (a) What is the tension on the cable that connects the two blocks? (Ans: 21.17 N) (b) What is the coefficient of friction between block B and the flat surface? (Ans: 0.53)
A mass m1 rests on a frictionless horizontal table. Attached to it is a string which runs horizontally to the edge of the table, where it passes over a frictionless, small pulley and down to where it supports a mass m2. Use undetermined multipliers to find the tension in the string.
Three blocks are connected on the table as shown below. The coefficient of kinetic friction between the block of mass m2 and the table is 0.400. The objects have masses of m1 = 4.25 kg, m2 = 1.25 kg, and m3 = 1.90 kg, and the pulleys are frictionless.(a) Determine the acceleration of each object, including its direction. (b) Determine the tensions in the two cords. (left and right)(c) If the tabletop were smooth, would the tensions increase, decrease, or remain the same? Possible answers:The tensions in the both cords will remain the same. The tension in the left cord will decrease while the tension in the right cord will increase. The tension in the left cord will increase while the tension in the right cord will decrease.