Block m1 (5kg) is hanging over the edge of a frictionless table and is attached

Question

Block m1 (5kg) is hanging over the edge of a frictionless table and is attached to a block m2 (20kg) by a massless string that runs over a frictionless, massless pulley as shown in the figure. Block m2 is also attached to a wall by an ideal, massless spring with a spring constant 130 N/m that has a relaxed length of X0. By how much is the spring compressed or stretched relative to its relaxed length X0 if the system is in equilibrium? Compressed by 0.377 m Compressed by 0.141 m Spring is in equilibrium Stretched by 0.141 m stretched by 0.377 m A human body cannot tolerate acceleration of much more than a few hundred m/s2 without sustaining serious permanent injury. If the acceleration is sustained for more than a few seconds, the maximum tolerable acceleration is much less. Suppose a car is initially moving at 45.0 mi/h and then is quickly stopped in a collision. what is the minimum time over which the driver must be decelerated in order that he does not experience an acceleration of magnitude greater than 99 m/s2? Assume constant acceleration. 0.112 s 0.203 s 1.123 s 20301 s 3,142 s

Explanation / Answer

Let T be the tension in the string,

T-m1g=0

T=49N

For the equilibrium of m2,

T=kx

x=T/k=49/130=0.377 m stretched.

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