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4 years ago

Using hookes law what happens when the displacement is tripled?

1 answer:

7 0

Hooke's law stated that the Force (F) exerted to compress or elongate an object to a distance (D) is proportional to that distance (D) where a certain proportionality constant, k, also known as hooke's constant is accounted for. In this case, if the displacement is tripled, the force required will also be tripled.

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A merter stick pivoted at its center has a 150gm mass suspended at its 20cm mark. a) Where should an 100gm mass be placed to pro

IgorLugansk [536]

Answer:1) 100 gm mass should be placed at 95 cm mark.

2) Mass of 112.5 gm should be placed at 90 cm mark.

Explanation:

For equilibrium of the meter stick the sum of the moment's generated by the masses should be equal and opposite

Answer to part b)

Since a meter stick is 100 cm long and it is pivoted at it's center i.e at 50 cm

Thus

1) Moment generated by 100 gm mass about center = $M_{1}=m_{1}g\times r_{1}\\\\M_{1}=0.15\times 9.81\times 0.3=0.44145Nm$

Let a mass 'm' be placed at 90 cm mark thus moment it generates equals

$M_{2}=m\times 9.81\times 0.4=3.924m$

Equating both the moments we get

$0.44145=3.924m\\\\\therefore m=\frac{0.44145}{3.924}\times 1000grams\\\\\therefore m= 112.5grams$

Answer to part a)

Let the 100 grams weight be placed at a distance 'x' right of center

Moment generated by 100 grams weight equals

$M_{1}=0.1\times 9.81\times x$

equating the moments of the forces we get

$0.1\times 9.81\times x=0.15\times 0.3\times 9.81$

$\therefore x=\frac{0.4415}{.981}=45centimeters$

thus the mass of 100 gm should be placed at 95 cm mark in the scale.

8 0

4 years ago

Ther are several differences between chemical and physical changes. Which process is an example of a chemical change?

slamgirl [31]

Answer:

A physical change is the change of the shape or color.

Explanation:

4 0

3 years ago

Read 2 more answers

A blue supergiant star has surface temperature 27 kK and has total power output 100000 times that of the Sun.

Free_Kalibri [48]

Answer:

Wien peak ( λmax ) is 107.40 nm

radius of super giant is 1.086 × $10^{10}$ m

Explanation:

given data

temperature 27 kK

power = 100000 times of Sun

Sun radius = 6.96 × 10^8 m

to find out

Wien peak ( λmax ) and radius of supergiant (r)

solution

we will apply here first wien law to find Wien peak that is

λmax = b / t

λmax = 2.9 × $10^{-3}$ / 27000 = 1.0740 × $10^{-7}$

so Wien peak ( λmax ) is 107.40 nm

and

now we apply steafay law that is

P = σ × A × $T^{4}$ .........................1

and we know total power output 100000 time of Sun

so we say

4πr²s $T^{4}$ = 100000 × 4πR²s $Ts^{4}$

r² = 100000 × R² $Ts^{4}$ / $T^{4}$

put here value

r² = 100000 × (6.96× $6000^{8}$ )² × $6000^{4}$ / $27000^{4}$

r² = 1.18132 × $10^{20}$

r = 1.086 × $10^{10}$ m

so radius of super giant is 1.086 × $10^{10}$ m

3 0

4 years ago

How long would it take a bus driver at 50 km/ h to travel 125km

poizon [28]

Answer:

About 30 minutes

Explanation:

4 0

3 years ago

A bullet is fired through a board 13.0 cm thick in such a way that the bullet's line of motion is perpendicular to the face of t

GREYUIT [131]

Answer:

392307.6923 m/s²

Explanation:

t = Time taken

u = Initial velocity = 560 m/s

v = Final velocity = 460 m/s

s = Displacement = 13 cm

a = Acceleration

From the equation of motion we have

$v^2-u^2=2as\\\Rightarrow a=\dfrac{v^2-u^2}{2s}\\\Rightarrow a=\dfrac{460^2-560^2}{2\times 13\times 10^{-2}}\\\Rightarrow a=-392307.6923\ m/s^2$

The acceleration of the bullet as it passes through the board is -392307.6923 m/s²

5 0

3 years ago