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A 434 g block is pushed against the spring with spring constant k (located on th

ID: 2220267 • Letter: A

Question

A 434 g block is pushed against the spring with spring constant k (located on the left-hand side of the track) and compresses the spring a distance 4.7 cm from its equilibrium position (as shown in the ?gure below).The block starts at rest, is accelerated by the compressed spring, and slides across a frictionless track except for a small rough area on a horizontal section of the track (as shown in the ?gure below).It leaves the track horizontally, ?ies through the air, and subsequently strikes the ground.The acceleration of gravity is 9.81 m/s^2.


a) what is the spring constant k?? Answer in units of N/m


B)What is the speed v of the block when it leaves

the track?Answer in units of m/s


c)What is the total speed of the block when it

hits the ground?Answer in units of m/s

A 434 g block is pushed against the spring with spring constant k (located on the left-hand side of the track) and compresses the spring a distance 4.7 cm from its equilibrium position (as shown in the ?gure below).The block starts at rest, is accelerated by the compressed spring, and slides across a frictionless track except for a small rough area on a horizontal section of the track (as shown in the ?gure below).It leaves the track horizontally, ?ies through the air, and subsequently strikes the ground.The acceleration of gravity is 9.81 m/s^2. a) what is the spring constant k?? Answer in units of N/m B)What is the speed v of the block when it leaves the track?Answer in units of m/s c)What is the total speed of the block when it hits the ground?Answer in units of m/s

Explanation / Answer

2.4 = 0.5 g t^2 t=0.7 s v vertical = 6.86 m/s v horizontal = 3.872 m/s v^2=u^2+2xaxs a=-0.4g s=1 u=4.7785 m/s 0.5kx^2 = 0.5mu^2 K= 4486.185 N/m a)K= 4486.185 N/m b)v horizontal = 3.872 m/s c)speed =7.877 m/s

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