Hi two phys prob about Newton's law

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SUMMARY

This discussion focuses on two physics problems related to Newton's laws of motion. In the first problem, involving two masses (m1 = 5.00 kg and m2 = 4.00 kg) connected by a string over a frictionless pulley, the calculated acceleration is 1.63 m/s², with tensions in the strings being t1 = 54.2 N and t2 = 24.5 N. The second problem involves a 3 kg object hanging from a rope in a railroad car that accelerates, resulting in an angle of 4 degrees with the vertical; the car's acceleration is determined to be 0.69 m/s². Forces acting on each mass in the first problem are also discussed.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of tension in strings and pulleys
  • Ability to analyze forces acting on objects
  • Familiarity with trigonometric functions for angle calculations
NEXT STEPS
  • Study the principles of tension in systems with pulleys
  • Learn how to apply Newton's second law to multi-body systems
  • Explore the effects of acceleration on objects in non-inertial frames
  • Investigate the relationship between angle and acceleration in inclined systems
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to enhance their understanding of Newton's laws and problem-solving techniques in dynamics.

stanton
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http://www.webassign.net/sercp/p4-62alt.gif (Figure P4.62)

Three objects are connected by light strings as shown in Figure P4.62. The string connecting the m1 = 5.00 kg mass and the m2 = 4.00 kg mass passes over a light frictionless pulley.
a) find the acceleration of each object and
b) the tension in the two strings

prob 2.A 3kg object hangs at one end of a rope that is attached to a the ceiling of a railroad car. When the car accelerates to the right, the rope makes an angle of 4 degrees with the vertical. Find the acceleration of the car.
5 minutes ago - 4 days left to answer.

prob 1 answer: Acceleration:1.63m/s^2
t1:54.2 t2:24.5
prob 2 answer:0.69m/s^2
 
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According to PF rules, you have to your attempts before you seek our help.
In prob. 1, what are forces acting on each mass?
 

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