Do geochemists need to have a knowledge of physical science? Explain your<br> answer. please help:))

The potential energy stored in the compressed spring of a dart gun, with a spring constant of 32.50 N/m, is 0.640 J. Find by how

liraira [26]

Answer:

A

$x = 0.198456 \ m$

B

$h = 1.3061 \ m$

C

$v = 5.06 \ m/s$

D

$d = 4.0273 \ m$

Explanation:

Considering the first question

From the question we are told that

The spring constant is $k = 32.50 N/m$

The potential energy is $PE = 0.640 \ J$

Generally the potential energy stored in spring is mathematically represented as $PE = \frac{1}{2} * k * x^2$

=> $0.640= \frac{1}{2} * 32.50 * x^2$

=> $x = \sqrt{0.03938}$

=> $x = 0.198456 \ m$

Considering the second question

From the question we are told that

The mass of the dart is m = 0.050 kg

Generally from the law of energy conservation

$PE = mgh$

=> $0.640 = 0.050 * 9.8 * h$

=> $h = 1.3061 \ m$

Considering the third question

The height at which the dart was fired horizontally is $H = 3.90\ m$

Generally from the law of energy conservation

$PE = KE$

Here KE is kinetic energy of the dart which is mathematical represented as

$KE = \frac{1}{2} * mv^2$

=> $0.640 = \frac{1}{2} * 0.050 * v^2$

=> $v^2 = 25.6$

=> $v = 5.06 \ m/s$

Considering the fourth question

Generally the total time of flight of the dart is mathematically represented as

$t = \frac{ 2 * H }{g}$

=> $t = \frac{ 2 * 3.90 }{9.8 }$

=> $t = 0.7959 \ s$

Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as

$d = v * t$

=> $d = 5.06 * 0.7959$

=> $d = 4.0273 \ m$

5 0

3 years ago

A grasshopper hops along a level road. on each hop, the grasshopper launches itself itself at an angle of 45 degrees. and achiev

Harman [31]

Answer: 1.9 m/s

Explanation:

1) Data:

height, y = 0

range, x = 0.77m

angle, α = 45°

question, horizontal velocity, Vox = ?

2) Physical principles and formulas

Projectile motion.

$y=V_{0y}t-gt^{2} /2\\ \\ x=V_{0x}t\\ \\ V_{0y}=V_0sin\alpha \\ \\ V_{0x}=V_0cos\alpha$

3) Solution

$0.77=V_0cos(45)t\\ t=0.77/(V_0cos(45))$

$y=0=V_0sin(45)t-gt^{2} /2$

Factor

$0=t[V_0sin(45)-gt/2]$

Discard t = 0 and solve for the other factor:

$gt/2=V_0sin(45)\\ \\ V_0= gt/(2sin(45))=9.81[0.77/V_{0}cos(45)]/[2sin(45)]\\ \\ V_0^2=9.81[0.77/(2cos(45)sin(45)=9.81[0.77/sin(90)]=7.55\\ \\ V_0}=\sqrt{7.55} =2.8$

Find Vx:

$Vx=V_{0x}=V_{0}cos(45)=2.75(\sqrt{2} /2]=1.9$

Vx = 1.9m/s ← answer

4 0

3 years ago

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One indicator NOT related to domestic violence is

Aleksandr-060686 [28]

Answer:

good nutrition

Explanation:

I think that one's pretty self explanatory

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2 years ago

Our Moon a. was a separate small planet before it was captured by the Earth's gravity. b. spun off the fast-spinning Earth durin

Nadya [2.5K]

Answer: what do u need help with

Explanation:

The giant-impact hypothesis, sometimes called the Big Splash, or the Theia Impact, suggests that the Moon formed from the ejecta of a collision between the ...

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PLEASE PLEASE PLEASE HELP PLEASE

RideAnS [48]

Answer:

Because there is too smooth

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Do geochemists need to have a knowledge of physical science? Explain your answer. please help:))