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4 years ago

The maximum speed of a 4.1 kg mass attached to spring is 0.78 m/s and the maximum force exerted on the mass is 13 N.

1 answer:

8 0

Start with the conservation of energy. The spring potential energy and the mass' kinetic energy will fluctuate over time, but their sum will stay constant. The maximum spring potential energy equals the maximum kinetic energy.

0.5mv² = 0.5kx²

m is the mass, v is the maximum velocity, k is the spring constant, and x is the maximum displacement along the spring.

Given values:

m = 4.1kg

v = 0.78m/s

Calculate the maximum kinetic energy.

Max KE = 0.5mv² = 1.247J

Set this equal to the maximum spring potential energy.

Max spring PE = 0.5kx² = 1.247J

x² = 2.494/k

The spring force is F = kx

Max F = kx = 13N

x = 13/k

x² = 169/k²

Set both values of x² equal to each other and solve for k the spring constant:

2.494/k = 169/k²

2.494k = 169

k = 67.8N/m

Use k to find x:

Max F = kx = 13N

67.8x = 13

x = 0.192m

The frequency of the system is given by:

f = (1/(2π))√(k/m)

f is the frequency, k is the spring constant, m is the mass.

f = (1/(2π))√(67.8/4.1)

f = 0.647Hz

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"Make comparisons to object measurements" tells us that the differences should be computed relative to "measurements for object". In other words, take $x$ from the left column and $y$ from the right column.

$\dfrac{|7.1-7.3|}{7.1} \times 100\% \approx 2.82\%$

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2 years ago

you and a friend setup an umbrella and chairs at a beach. your friend goes into the surf zone while you relax on the sand. sever

Dmitrij [34]

Answer:

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Explanation:

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Swash effect is caused by the upsurge of water up along the slopping front of the beach and this same upsurge in water moves back into the beach in what is known as the backwash effect hence the movement of your friend form where they were in the surf zone to another position still within the surface zone is caused by the BACKWASH EFFECT

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3 years ago

Speed that does not change is known as the:

svetoff [14.1K]

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Explaination: because its final.

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3 years ago

Read 2 more answers

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mario62 [17]

Answer:

Option A

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3 years ago

A 0.0663 kg ingot of metal is heated to 241◦C

Westkost [7]

Answer:280.216j/kg°C

Explanation:

Mass of metal=0.0663kg

mass of water=0.395kg

Final temperature=27.4°C

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Temperature of water=25°C

specific heat capacity of water=4186j/kg°C

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14.16168a=3968.328

a=3968.328 ➗ 14.16168

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