008 (part 1 of 3) 10.0 points A block of mass 421 g is pushed against the spring
ID: 1367531 • Letter: 0
Question
008 (part 1 of 3) 10.0 points A block of mass 421 g is pushed against the spring (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 figure below). The block starts from rest, is accelerated by the compressed spring, and slides across a frictionless horizontal track (as shown in the figure below). It leaves the track horizontally, flies through the air, and subsequently strikes the ground. The acceleration of gravity is 9.81 m/s2 . 421 g 4.7 cm AN 5.53 m What is the spring constant? Answer in units of N/m.
Explanation / Answer
applying conservation of energy we get
(1 / 2) m u2 = (1 / 2) kx2
m u2 = kx2
where u is the speed with which the block leaves the frictionless track
as from the given
R = 5.53 m
h = 2.2 m
u2 = R2 g / 2 h
m (R2 g / 2 h ) = kx2
k = m (R2 g / 2 h ) / x2
= .......... N / m
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