A 0.250-kg block along a horizontal track has a speed of 1.50 m/s immediately be

Question

A 0.250-kg block along a horizontal track has a speed of 1.50 m/s immediately before colliding with a light spring of force constant 4.60 N/m located at the end of the track. What is the spring's maximum compression it the track is frictionless? If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? A block of mass m = 5.00 kg is released from rest from point and slides on the frictionless track shown in Figure P5.36. Determine the block's speed at points the net work done by the gravitational force on the block as it moves from point from Tarzan swings on a 30.0-m-long vine initially inclined at an angle of 37.0 degree with the vertical. What is his speed at the bottom of the swing if he starts If he pushes off with a speed

Explanation / Answer

here,

mass of the block , m = 0.25 kg

speed , v = 1.5 m/s

spring constant , k = 4.6 N/m

(a)

let the spring maximum compression be x

using conservation of energy

0.5 * m * v^2 = 0.5 * k * x^2

0.25 * 1.5^2 = 4.6 * x^2

x = 0.35 m

the spring maximum compression is 0.35 m

(b)

when the surface is frictionless

the friction force also opposes the motion of the block

so the maximum compression in the spring is less value obtained in part (a)

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