How far will it slide before stopping?

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SUMMARY

The discussion focuses on various physics problems involving motion, friction, and acceleration. Key calculations include determining the stopping distance of a 400g block sliding at 80cm/s against a frictional force of 0.80N, and finding the coefficient of friction. Other scenarios involve blocks on inclined planes, elevator deceleration, and tension in a pulley system. The problems emphasize the application of Newton's laws and friction concepts in real-world contexts.

PREREQUISITES
  • Newton's laws of motion
  • Frictional force calculations
  • Basic kinematics equations
  • Understanding of mass and weight conversions
NEXT STEPS
  • Calculate the stopping distance using the formula: distance = (initial velocity^2) / (2 * frictional force)
  • Explore the relationship between mass, weight, and gravitational force in different units
  • Learn about inclined plane dynamics and the effects of angle on acceleration
  • Investigate tension in pulley systems and how to derive equations for multiple masses
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Students studying physics, educators teaching mechanics, and anyone interested in solving real-world motion problems involving friction and acceleration.

sweet_calyn04
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1. A 400g Block with an initial speed of 80cm/s slides a long a horizontal tabletop against a frictional force of 0.80N.
A) How far will it slide before stopping?
B) What is the coefficient of friction between the block and the tabletop?




2. A 50kg block rests at the top of a smooth plane whose length is 2.0m and whose length is 2.0m and whose length is 0.5m. How long will it take for the block to slide to the bottom of the plane when released?



3. A 6.0lb block rest on a smooth plane inclined at an angle of 20 with the horizontal. The block is pulled up the plane with a force of 30lb parallel to the plane. What is its acceleration?



4. A 2.0 Ton elevator is supported by a cable that can safely support 6400lb. What is the shortest distance in which the elevator can be brought to a stop when it is descending with a speed of 4.0ft/s?



5. A 50kg block is placed a smooth tabletop. A horizontal card attached to the block passes over a light frictioness pulley and is attached to 4.0kg body. Find the acceleation and the tension in the card when the system is released?




6. Two boddies having masses M1=30g and M2= 40g are attached to the ends of a string of negligible mass and suspended from a frictionless pulley. Find the acceleration of the bodies and the tension in the string?




7. Consider the object on a horizontal frictioness plane, acted upon by a single horizontal force.
A) If the mass is 1g and the force is 1dyne, the acceleration is ______?
B) If the mass is 1g and the force is 5dyne the acceleration is________?
C) If the weight is 32lb and the force is 1lb the acceleration is________?
D) If the weight is 320lb and the force is 20lb the acceleration is______?
E) If the mass is 6.0kg and the force is 20N the acceleration is________?
f) If the mass is 1.0K and the force is 9.8N THE ACCELERATION IS ______?

 
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Hm, interesting questions.
I see preciously little filled out under the last two points ("relevant equations" and "the attempt at a solution") however. Surely, you must have some ideas?
 

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