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Elena-2011 [213]
3 years ago
7

A weather balloon is inflated to a volume of 2.2 x 10^3 L with 374 g of helium. What is the density of helium in grams per liter

?
Physics
1 answer:
Scorpion4ik [409]3 years ago
8 0
The density (d) of a substance is calculated by dividing the mass (m) by the given volume (v). Mathematically,
                              d = m / v
Substituting the known values,
                             d = 374 g / (2.2 x 10^3 L) = 0.17 g/L
Thus, the density of the weather balloon is 0.17 g/L. 
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. Two astronauts are 1.90 m apart in their spaceship. One speaks to the other. The conversation is transmitted to earth via elec
melomori [17]

Answer:

d= 1650 km.

Explanation:

  • Assuming that sound waves travel along a straight line at a constant speed of 346 m/s, we can find the time needed for the sound to travel the distance of 1.9 m between the astronauts, just applying the definition of average velocity, as follows:

       t = \frac{\Delta x}{v} =\frac{1.9m}{346m/s} = 5.5 msec  (1)

  • The electromagnetic waves travel in free space at the same speed of light in vacuum ( since light is a electromagnetic wave indeed), i.e., 3*10⁸ m/s.
  • Applying the same formula than in (1) we can solve for the distance d, as follows:

       d = v*t = 3e8 m/s*5.5e-3s = 1650 km (2)

3 0
3 years ago
An AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by ΔV
ra1l [238]

Answer:

t = 5.48 × 10⁻³ s

Explanation:

Given:

ΔV = ΔVmax × sin(2πft)

frequency, f = 16.9Hz

thus,

ΔV = ΔVmax × sin(2π×16.9×ft)

Now,

Let 'R' be the resistance

Also according to the ohms law

i = V/R

where,

i = current

V = voltage

hence,

i=\frac{\Delta V_{max}sin(2\pi \times 16.9\times t)}{R}

also, given at time 't' the current in the circuit is 55.0% of the peak current

thus

i=\frac{55}{100}\times \frac{\Delta V_{max}}{R}=0.55\times \frac{\Delta V_{max}}{R}

thus,

0.55\times \frac{\Delta V_{max}}{R}=\frac{\Delta V_{max}sin(2\pi \times 16.9\times t)}{R}

or

0.55=sin(2\pi \times 16.9\times t)}

or

0.5823=(2\pi \times 16.9\times t)}

or

t = 5.48 × 10⁻³ s (Answer)

8 0
3 years ago
A boy is pedaling his bicycle at a velocity of 0.20km/ minute . How far will he travel in 2.5 hours
fredd [130]
30km. 24 the first two hours and 6 the half hour
4 0
4 years ago
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5 0
3 years ago
A 1kg box is pushed on a flat surface that is 250m long. The box is initially at rest and then pushed with a constant Net force
sasho [114]

Answer:

C) 50 m/s

Explanation:

With the given information we can calculate the acceleration using the force and mass of the box.

Newton's 2nd Law: F = ma

  • 5 N = 1 kg * a
  • a = 5 m/s²

List out known variables:

  • v₀ = 0 m/s
  • a = 5 m/s²
  • v = ?
  • Δx = 250 m

Looking at the constant acceleration kinematic equations, we see that this one contains all four variables:

  • v² = v₀² + 2aΔx

Substitute known values into the equation and solve for v.

  • v² = (0)² + 2(5)(250)
  • v² = 2500
  • v = 50 m/s

The final velocity of the box is C) 50 m/s.

7 0
3 years ago
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