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3 years ago

10

A dart in a toy dart gun is pressed 4 cm against a spring. if it has 1.5 J of stored potential energy what is the spring constan

t?

1 answer:

Sphinxa [80]3 years ago

8 0

U = 0.5k(x^2)
1.5 J = 0.5k(0.04m^2)
k = 1875 N/m

Check my math i might be wrong

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A Viking ship roller coaster at the fair has a mass of 36,000 kg. If at its peak it reaches a height of 20 m off the ground, how

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Answer:

7056 kJ

Explanation:

Given that,

Mass of a ship roller coaster is 36,000 kg.

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E = mgh

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or

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A 10.0 kg box is dragged 5.00 meters across a rough horizontal floor by a rope with a tension

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3 years ago

Four forces act on bolt A as shown; F1 150N, F2 80N, F3 110N and F4 100N. Determine the magnitude and direction of the resultant

netineya [11]

Complete Question

The complete question(reference (chegg)) is shown on the first uploaded image

Answer:

The magnitude of the resultant force is $F = 199.64 \ N$

The direction of the resultant force is $\theta = 4.1075^o$ from the horizontal plane

Explanation:

Generally when resolving force, if the force (F )is moving toward the angle then the resolve force will be $Fcos(\theta )$ while if the force is moving away from the angle then the resolved force is $Fsin (\theta )$

Now from the diagram let resolve the forces to their horizontal component

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$\sum F_x = 150 cos(30) + 100cos(15) -80sin (20)$

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Now resolving these force into their vertical component can be mathematically evaluated as

$\sum F_{y} = 150 sin(30) - 100sin(15) -110 +80 cos(20)$

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Now the resultant force is mathematically evaluated as

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substituting values

$F = \sqrt{199.128^2 + 14.3^2}$

$F = 199.64 \ N$

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$\theta = tan^{-1}[\frac{F_y}{F_x} ]$

substituting values

$\theta = tan^{-1}[\frac{ 14.3}{199.128} ]$

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4 years ago

A series RC circuit contains a 1,000 ohm resistor and a 0.025 microfarad capacitor. What is the time constant of this circuit?

stiks02 [169]

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3 years ago