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qwelly [4]
2 years ago
14

A block with a mass of 0.28 kg is attached to a horizontal spring. The block is pulled back from its equilibrium position until

the spring exerts a force of 1.0 N on the block. When the block is released, it oscillates with a frequency of 1.2 Hz. How far was the block pulled back before being released?
Physics
1 answer:
krek1111 [17]2 years ago
8 0

Answer:

Explanation:

For spring

n=\sqrt{\frac{k}{m} }

where n is frequency of oscillation and k is force constant and m is mass

Putting the values

1.2=\sqrt{\frac{k}{.28} }

k = .4032 N/m

F= k x

where F is force , k is force constant and x is extension

Putting the given values

1 = .4032 x

x = 2.48 m

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The platform height for Olympic divers is 10 m. A 60 kg diver steps off the platform to begin his dive.
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Answer:

a) Ep = 5886[J]; b) v = 14[m/s]; c)   W = 5886[J]; d) F = 1763.4[N]

Explanation:

a)

The potential energy can be found using the following expression, we will take the ground level as the reference point where the potential energy is equal to zero.

E_{p} =m*g*h\\where:\\m = mass = 60[kg]\\g = gravity = 9.81[m/s^2]\\h = elevation = 10 [m]\\E_{p}=60*9.81*10\\E_{p}=5886[J]

b)

Since energy is conserved, that is, potential energy is transformed into kinetic energy, the moment the harpsichord touches water, all potential energy is transformed into kinetic energy.

E_{p} = E_{k} \\5886 =0.5*m*v^{2} \\v = \sqrt{\frac{5886}{0.5*60} }\\v = 14[m/s]

c)

The work is equal to

W = 5886 [J]

d)

We need to use the following equation and find the deceleration of the diver at the moment when he stops his velocity is zero.

v_{f} ^{2}= v_{o} ^{2}-2*a*d\\where:\\d = 2.5[m]\\v_{f}=0\\v_{o} =14[m/s]\\Therefore\\a = \frac{14^{2} }{2*2.5} \\a = 39.2[m/s^2]

By performing a sum of forces equal to the product of mass by acceleration (newton's second law), we can find the force that acts to reduce the speed of the diver to zero.

m*g - F = m*a

F = m*a - m*g

F = (60*39.2) - (60*9.81)

F = 1763.4 [N]

3 0
2 years ago
Determine tge energy in joules of a photon whose frequency is 3.55x10
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