Part (a) Considering the positive x direction to be pointing as it is in the image, write an equation for the acceleration that the two blocksexperience in terms of the mass of the first block m1, the angle 01, the mass of the second block m2, the angle 02, and the acceleration due to gravity g.a =COST02) SIULOT STILOT Problem 9: Displayed to the right are two carts connected by a cord that passes over a small frictionlesspulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be mj = 16.2 kg and theangle the first cart sits on to be 0, = 36.5°, while the mass of the second cart as m2 = 22.3 kg and the angle it sitson to be 02 = 49°.mim202

Given:- m1 = 16.2 kg m2 = 22.3 kg θ1=36.5°θ2=49° Find:- The acceleration of the system in terms…

Part (a) Considering the positive x direction to be pointing as it is in the image, write an equation for the accelera a terms of the mass of the first block m1, the angle 01, the mass of the second block m2, the angle 02, and the acce-

Part (a) Considering the positive x direction to be pointing as it is in the image, write an equation for the accelera a terms of the mass of the first block m1, the angle 01, the mass of the second block m2, the angle 02, and the acce-

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 62PQ: An astronaut out on a spacewalk to construct a new section of the International Space Station walks...

See similar textbooks

Similar questions

You are holding a basketball and standing at rest on top of a skateboard. If you throw the basketball (of mass 0.625 kg) at a velocity of 7 m/s along the horizontal and you and the skateboard together have a mass of 85 kg, what is the magnitude of your velocity just after throwing the ball? Assume you can ignore air resistance, rolling resistance, and friction.
During the filming of a certain movie scene, the director wants a small car (whose mass is m1) traveling due east at speed v1 to collide with a small truck (whose mass is m2) traveling north. The director also wants the collision to be arranged so that just afterward, the interlocked vehicles travel straight toward the camera. If the line between the camera and collision makes an angle of theta with respect to north, at what speed v2 should the trucker drive?
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 56.7 × 105 kg, of which 12.9 × 105 kg is fuel. The rocket engine is then fired for 310 s, during which fuel is consumed at the rate of 470 kg/s. The speed of the exhaust products relative to the rocket is 2.16 km/s. (a) What is the rocket's thrust? After the 310 s firing, what are (b) the mass and (c) the speed of the rocket?
During a spacewalk, a 118 kg astronaut (including her spacesuit) is at rest and holding a 3.5 kg wrench. If she throws the wrench with speed 12 m/s, then what will be her recoil speed?
PART 1: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy coordi-nates (0.300 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you placea 4.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.900 m)? PART 2: A rope is used to pull a 3.5 kg block at constant speed 6 m along a horizontal oor. The force onthe block from the rope is 7 N and directed = 20 above the horizontal. What are (a) the work done by therope's force, (b) the increase in thermal energy of the block- oor system. PART 3: Draw a labelled gure to explain the idea of turning point in terms of energy.
A 200 kg rocket in deep space moves with a velocity of (121 m/s)î + (38.0 m/s)ĵ. Suddenly, it explodes into three pieces, with the first (82 kg) moving at −(428 m/s)î + (304 m/s)ĵ and the second (54 kg) moving at (14.0 m/s)î − (80.0 m/s)ĵ. Find the velocity (in m/s) of the third piece. (Express your answer in vector form.)
A small block of mass m1 = 0.770 kg is released from rest at the top of a curved wedge of mass m2 = 7.50 kg, which sits on a frictionless horizontal surface. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (Enter the magnitude of the velocity.) m/s(b) What is the height h of the wedge? m
A man with mass m1 = 51 kg stands at the left end of a uniform boat with mass m2 = 168 kg and a length L = 3.3 m. Let the origin of our coordinate system be the man’s original location as shown in the drawing. Assume there is no friction or drag between the boat and water. 1) If the man now walks to the right edge of the boat, what is the location of the center of mass of the system? 2) After walking to the right edge of the boat, how far has the man moved from his original location? (What is his new location?) 3) After the man walks to the right edge of the boat, what is the new location the center of the boat? 4) Now the man walks to the very center of the boat. At what location does the man end up?
A hockey puck with a mass of 0.170 kg moving in a straight line at 1.5 m / s collides with an identical puck that is at rest. As a result, the first disk deviates an angle of 30 ° from its original path and continues to move with a speed of 2.9 m / s. What is the magnitude of the final velocity of the second disk?
An object with mass m1 = 3.00 kg is moving along the positive x axis with a speed v1i = 2 m/s straight towards two objects with masses m2 = 2.00 kg and m3 = 4.00 kg, which are initially at rest. When they collide, object 1 comes to rest and object 2 moves away with a speed of v2f = 1.5 m/s at an angle of 50 degrees above the x axis. What is the direction of the velocity of the center of mass of the system comprised of all three objects after the collision? A) Along the x axis B) A an angle of 50 degrees above the x axis C) At an angle of 50 degrees below the x axis D) At an angle > 0 degrees and <50 degrees above the x axis E) At an angle>0 degrees and <50 degrees below the x axis The correct answer is A but I am confused why it is A, if you could explain the justification as to why the answer is option A.
Ricardo, of mass 80 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 30 kg canoe.When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and symmetrically located with respect to the canoe’s center. If the canoe moves 40 cm horizontally relative to a pier post, what is Carmelita’s mass?
Two masses m1 = 15 kg amd m2 = 25 kg are joined by connecting a rod of length 0.8 m. Determine the distance of the CM of the system from the m1 if a.) the connecting rod is massless, and b.) the connecting rod is a uniform rod of mass 15 kg