Two crates, one with mass m₁=5.5 kg and the other with mass m₂=10 kg, sit on the frictionless surface of a frozen pond, connected by a light rope (as shown in Figure). A woman wearing golf shoes (for traction) pulls horizontally on the 10 kg crate with a force F that gives the crate an acceleration of 3 m/s² m₂ m1 T (a) What is the acceleration ( in m/s²) of the 5.5 kg crate? F (b) Find the tension T (in N) in the rope that connects the two crates. (c) Calculate the magnitude of the force F (in N).

Two crates, one with mass m₁=5.5 kg and the other with mass m₂=10 kg, sit on the frictionless surface of a frozen pond, connected by a light rope (as shown in Figure). A woman wearing golf shoes (for traction) pulls horizontally on the 10 kg crate with a force F that gives the crate an acceleration of 3 m/s² m₂ m1 T (a) What is the acceleration ( in m/s²) of the 5.5 kg crate? F (b) Find the tension T (in N) in the rope that connects the two crates. (c) Calculate the magnitude of the force F (in N).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An object of mass m1= 5.0 kg placed on a frictionless, horizontal table is connected to a string thatpasses over a pulley and then is fastened to a hanging object of mass m2 = 9.0 kg as shown in theFigure. Find:(a) The magnitude of the acceleration of the objects and(b) The tension T in the string.
A hammer of mass m = 0.455 kg is moving horizontally at a velocity of v = 4.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 1.2 cm into a board. What is the duration of the impact, assuming the acceleration is constant during this time period, in terms of the given variables? What was the average force exerted on the nail, in terms of the mass, initial velocity, and distance traveled? What was the average force, in newtons, exerted on the nail?
The masses m1and m2shown in the figure are tied to eachother by a rope over a frictionless pulley. While the mass m1rotates in the horizontal plane, the mass m2staysat rest. Neglect the mass of the pulley and the rope. (m1= 4 kg, m2= 5 kg, L = 2 m)a) Find the tension in the rope.b) Find angle c) Find the velocity of the mass m1.
A cube of mass m1=5.4 kg is sitting on top of a second cube of the same size and mass m2=0.5 kg while both are in free fall. Ignoring any air resistance, what is the magnitude of the normal force with which the bottom cube is acting on the top cube?
A force of magnitude 9.65 N pushes three boxes with mass M1=1.30 kg, and M2=3.20 kg, and M3=4.90 kg. what is the magnitude of the contact force that boxes 1 and 2 exert on each other? what is the magnitude of the contact force that boxes 2 and 3 exert on each other?
The 4 lblb particle is subjected to the action of its weight and forces F1={2i+6j−2tk}lb, F2={t2i−4tj−1k}lb , and F3={−2ti}lb, where t is in seconds. Determine the distance the ball is from the origin 4 ss after being released from rest.
Two blocks are connected with a rope on a surface with kinetic friction, as shown in the figure. If we apply a force, F, from 50 N to 30 °, obtain the acceleration of the system (m1 = 3.0 kg, m2 = 2.0 kg, mk = 0.10)
A block of mass m1 = 3.70 kg on a frictionless plane inclinedat angle 30.0= is connected by a cord over a massless,frictionless pulley to a second block of mass m2 2.30 kg ). What are (a) the magnitude of the acceleration of eachblock, (b) the direction of the acceleration of the hanging block,and (c) the tension in the cord?
A force of magnitude 7.50 N pushes three boxes with masses m1=1.30kg ,m2=3.20kg, and m3=4.90kg. Find the magnitude of the contact force between boxes 1 and 2.
A man is texting on his phone as he drives his car at 40 kmph, he suddenly notices a child is crossing the road so he rams his brake bringing the car to stop in 2s. If the car’s mass is 4000 kg and he weighs 60 kg, what was the retarding force on the car?
If it takes a human cannonball 1.8 s to exit a 1.9 m long cannon and the average net force acting on the performer is 159 N, what is the performer’s mass?
A 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?