What is the net force on the box? Be sure to specify direction.<br> 15 N<br> 10 N

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 water bottle contains 15.0 ounces of water. A person drinks 0.5 ounces per minute. How many hours will it take to drink all of

Mariana [72]

It would take 30 minutes

You would do 15.0 divided by 0.5

4 0

3 years ago

A balloon is filled with helium at sea level. The volume was measured to be 3.1 liters at a pressure of 0.97 atm. If the balloon

stira [4]

Answer:

4.9L hope this helped!

8 0

3 years ago

Isla’s change in velocity is 30 m/s, and Hazel has the same change in velocity. Which best explains why they would have differen

irina [24]

Answer:

B

Explanation:

....

3 0

3 years ago

Read 2 more answers

We think of the response of the circuit as the ratio of the maximum current to the maximum voltage provided. Explain why the rat

nexus9112 [7]

Answer:

Z = R, i = V/Z, w = √1 / LC

Explanation:

In an RLC circuit the impedance of the circuit is

Z = √[R² + ( $X_{L} - X_{C}$ )²

Where

$X_{L}$ = wL

X_{L} = 1 / wC

They are the reactances of the inductor and the capacitor, in this case the current advances to the voltage in the first and is delayed from the voltage in the second, so when the two values give the same reactance the current goes in phase with the voltage and the impedance is minimal

Z = R

V= i Z

i = V/Z

Therefore the current is maximum, this occurs when

w = √1 / LC

Saying that this is the resonant frequency

5 0

3 years ago

What is the net force on the box? Be sure to specify direction. 15 N 10 N