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olganol [36]
3 years ago
14

Using Hooke's law, F subscript s p r i n g end subscript equals k increment x, find the elastic constant of a spring that stretc

hes 2 cm when a 4 newton force is applied to it.
A. 1/2 N/cm

B. 2 N/cm

C. 4 N/cm

D. 8 N/cm
Physics
2 answers:
Anarel [89]3 years ago
7 0

Answer:

b. 2N/cm

Explanation:

i took the test

sertanlavr [38]3 years ago
4 0
Let's rewrite Hook's law:
F=-kx
where
F is the force
k is the spring's constant
x is the compression/elongation of the spring

Neglecting the sign (since we are not interested in the direction of the force), we can re-arrange the formula and use the data of the problem to find the spring constant:
k= \frac{F}{x}= \frac{4 N}{2 cm}=2 N/cm

Therefore, the correct answer is B) 2 N/cm.
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A block of mass 5.6 kg is attached to a horizontal spring on a rough floor. Initially the spring is compressed 3.5 cm. The sprin
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Answer:

The velocity of block = 0.188 \frac{m}{s}

Explanation:

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x_{2} = 0.02 m

From work energy theorem

K_{1} + U_{1} + W_{other} = K_{2} + U_{2}  --------- (1)

Kinetic energy

K = \frac{1}{2} k x^{2}  ------- (1)

Potential energy

U = \frac{1}{2} k x^{2} ------- (2)

Work done

W = F.s ------ (3)

From Newton's second law

R_{N} = mg

R_{N}  = 5.6 × 9.81 = 54.9 N

Friction  force = 0.4 × 54.9 = 21.9 N

Now the work done by the friction

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Now kinetic energy

At point 1

K_{1} = \frac{1}{2} m v^{2} _{1}

K_{1} = 0

U_{1} = \frac{1}{2} k x^{2}

U_{1} = \frac{1}{2}  (1040) 0.035^{2}

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At point 2

K_{2} = \frac{1}{2} (5.6) v^{2} _{2}

K_{2} = 2.8 v_{2} ^{2}

Potential energy

U_{2} = \frac{1}{2}  k x_2^{2}

U_{2} = \frac{1}{2}  (1040) 0.02^{2}

U_{2} = 0.208 J

From equation (1) we get

0 + 0.637 - 0.329 = 2.8 v_{2} ^{2} + 0.208

2.8 v_{2} ^{2} = 0.1

v_{2} = 0.188 \frac{m}{s}

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