4.37 Two crates, one with mass 4.00 kg and the other with mass 6.00 kg, sit on the frictionless surface of a frozen pond, connected by a light rope (Fig. P4.37). A woman wearing golf shoes (for traction) pulls horizon- tally on the 6.00 kg crate with a force F that gives the crate an acceleration of 2.90 m/s. (a) What is the acceleration of the 4.00 kg crate? (b) Draw a free-body diagram for the 4.00 kg crate. Use that diagram and Newton's second law to find the tension T in the rope that connects the two crates. FIGURE P4.37 6.00 kg 4.00 kg T

4.37 Two crates, one with mass 4.00 kg and the other with mass 6.00 kg, sit on the frictionless surface of a frozen pond, connected by a light rope (Fig. P4.37). A woman wearing golf shoes (for traction) pulls horizon- tally on the 6.00 kg crate with a force F that gives the crate an acceleration of 2.90 m/s. (a) What is the acceleration of the 4.00 kg crate? (b) Draw a free-body diagram for the 4.00 kg crate. Use that diagram and Newton's second law to find the tension T in the rope that connects the two crates. FIGURE P4.37 6.00 kg 4.00 kg T

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 28P: An object of mass m1 = 5.00 kg placed on a frictionless, horizontal table is connected to a string...

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Two blocks of mass 3.50 kg and 8.00 kg are connected by a massless string that passes over a frictionless pulley (Fig. P4.47). The inclines are frictionless. Find (a) the magnitude of the acceleration of each block and (b) the tension in the string. Figure P4.47
A 276-kg glider is being pulled by a 1 950-kg jet along a horizontal runway with an acceleration of a = 2.20 m/s2 to the right as in Figure P4.41. Find (a) the thrust provided by the jets engines and (b) the magnitude of the tension in the cable connecting the jet and glider. Figure P4.41
Explain why a) a horse cannot pull a cart and run in empty space, b) passengers are thrown forward from their seats when a speeding bus stops suddenly, c) it is easier to pull a lawn mower than to push it,
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four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator.The masses of three penguins and the tension in two of the cords are m1 = 12 kg, m3 = 15 kg, m4 = 20 kg, T2 = 111 N, and T4 = 222 N. Find the penguin mass m2 that is not given.
s The giant Pacific octopus (Enteroctopus dofleini) has a typical mass of 15 kg and can propel itself bymeans of a water jet when frightened. (a) If it expels water at amass rate of 2.4 kg>s and with a speed of 27 m>s, what thrust canit generate? (b) If the seawater exerts a resistive force of 18 N onthe octopus, what acceleration can it achieve? (c) If the octopusmaintains its jet propulsion for 3.0 s, what maximum velocitycan it attain?
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A box of mass m1 = 10.0 kg rests on a smooth, horizontal floor in contact with a box of mass m2 = 5.00 kg. You nowpush on box 1 with a horizontal force of magnitude F = 30.0 N. (a) What is the acceleration of the boxes? (b) What isthe force of contact between the boxes?
Two objects are connected by a light string that passes over a frictionless pulley as shown in Figure P4.30. Assume the incline is frictionless and take m1 = 2.00 kg, m2 = 6.00 kg, and = 55.0. (a) Draw free-body diagrams of both objects. Find (b) the magnitude of the acceleration of the objects, (c) the tension in the string, and (d) the speed of each object 2.00 s after it is released from rest. Figure P4.30
An object of mass m1 = 5.00 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2 = 9.00 kg as shown in Figure P4.28. (a) Draw free-body diagrams of both objects. Find (b) the magnitude of the acceleration of the objects and (c) the tension in the string. Figure P4.28
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(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74