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Three boxes with masses m1=m1= 1.5 kg, m2=m2= 4.9 kg and m3=m3= 8.5 kg are in contact with one another on a smooth frictionless surface, pushed by a 47 N force F⃗ pushF→push. What is the magnitude of the acceleration of block 1?
(a) 31.3 m/s2m/s2
(b) 7.34 m/s2m/s2
(c) 3.15 m/s2m/s2
(d) 4.80 m/s2
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- An object of mass 5 kg is acted on by two forces F1 = 6 i N and F2 = 7 j N. What is the magnitude of the net acceleration? Give your answer in m/s2 to 2 sf. The magnitude must be a positive number.Three boxes with masses m1= 1.5 kg, m2= 5.9 kg and m3= 7.9 kg are in contact with one another on a smooth frictionless surface, pushed by a 46 N force F⃗ pushF→push. What is the magnitude of the acceleration of block 1? 6.22 m/s2m/s2 3.01 m/s2m/s2 4.69 m/s2m/s2 30.7 m/s2m/s2 How does the size of the normal force that 2 pushes on 1 with compare with the size of the normal force that 1 pushes on 2 with? 2 pushes on 1 more than 1 pushes on 2 2 pushes on 1 less than 1 pushes on 2 2 pushes on 1 just as much as 1 pushes on 2An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Assume that the rope and pulley are massless and that there is no friction in the pulley. If the masses have the values ?1=19.5 kg and ?2=12.5 kg, find the magnitude of their acceleration ? and the tension ? in the rope. Use ?=9.81 m/s2.
- Problem 2: In the Figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65 N. If m₁ = 12 kg, m₂ = 24 kg, and m3 = 31 kg, calculate: (a) The magnitude of the system's acceleration. Answer: 0.97 m/sec². (b) The tension T₁. Answer: 11.64 N. (c) The tension T₂. Answer: 34.92 N. m1 T₁ mq T2 mg T3A car of mass mpush = 1350 kg is capable of a maximum acceleration of 6.00 m/s². If this car is required to push a stalled car of mass mstall = 1750 kg, what is the maximum magnitude of the acceleration a of the two-car system? a = m/s?A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ Ө = 49.0°. m1 m2 0 (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? m/s² (b) What is the tension (in N) in the cord? (Enter the magnitude.) N = (c) What is the speed (in m/s) of each object 1.50 s after being released from rest? m/s = 2.00 kg, m2 = 4.95 kg, and (d) What If? If the incline under m₂ is rough, what is the minimum value of the coefficient of static friction μ for which the system will not move? Ms
- = 91.3 kg) about to Question 16. The drawing shows Robin Hood (mass dangerous situation. With one hand, he is gripping the rope that holds up a chandelier (mass 192.0 kg). When he cuts the rope where it is tied to the floor, the chandelier will fall, and he will be pulled up toward a balcony above. Ignore the friction between the rope and the beams over which it slides, and find (a) the acceleration with which Robin is pulled upward and (b) the tension in the rope while Robin escapes. Ans: 3.48 m/s2; 1213 NThe figure below shows two blocks connected to each other by a light cable that passes over a pulley with negligible friction. The block of mass m₁ = 3.10 kg lies on a horizontal table with negligible friction, while the block of mass m₂ = 10.4 kg hangs vertically. m₁ 2₁ = a₂ = (a) What is the magnitude of the acceleration of each block (in m/s²)? (Here, a, is the acceleration of m₂, and an is the acceleration of m₂.) m/s² m/s² Ⓡ (b) What is the tension in the cable (in N)?A person pushes a 0.20 kg lunch tray across a table, and it slows down as it slides because of friction. The coefficients of friction between the tray and the table are µs = 0.15 and µk = 0.11. What would the acceleration of the tray be?
- A truck is driving forward with a 90 kg crate on the back. The coefficient of static friction between the crate and truck is µ-0.28. What is the fastest rate the truck could accelerate forward, in m/s², without the crate slipping off the back?A taut massless string connects two boxes as shown in the figure. The boxes are placed on an incline plane at θ = 33.00. What is the acceleration of boxes as they move down the incline, given m2 = 1.4 kg, m1 = 5.0 kg, μ2 = 0.10 and μ1 = 0.20.A 100-kg man stands in an elevator that starts to move from the fifth floor towards the first floor. In the initial portion of the trip, the elevator has an acceleration of 1.5 m/s2 . What is the force exerted by the floor on the man?