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kvv77 [185]
3 years ago
10

A large sphere of material is placed in a dissolving liquid. (a) When the radius is 1 m, it is observed to be changing at 8 cm/h

our. At that instant, what is the rate at which the sphere's volume is being dissolved with respect to time?
Physics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

0.0804 m / h

Explanation:

r = 1 m, dr / dt = 8 cm/h = 0.08 m/h

the volume of sphere is given by

V = 4/3 x π x r^3

Differentiate with respect to r.

dV / dr = 4 / 3 x π x 3 r^2 x dr/dt

dV/dt = 4 x π x r^2 x dr/dt

dV/dt = 4 x 3.14 x 1 x 1 x 0.08

dv/dt = 0.0804 m / h

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Chet believes that electric fields can impact objects only when the objects are in direct contact. Tonya disagrees with Chet. Wh
Murljashka [212]

B because it is the only evidence that displays an effect from the field without contact

3 0
3 years ago
A straight wire that is 0.60 m long is carrying a current of 2.0 A. It is placed in a uniform magnetic field of strength 0.30 T.
Degger [83]

Answer:

The angle the wire make with respect to the magnetic field is 30°

Explanation:

It is given that,

Length of straight wire, L = 0.6 m

Current carrying by the wire, I = 2 A

Magnetic field, B = 0.3 T

Force experienced by the wire, F = 0.18 N

Let θ be the angle the wire make with respect to the magnetic field. Magnetic force is given by :

F=ILB\ sin\theta

\theta=sin^{-1}(\dfrac{F}{ILB})

\theta=sin^{-1}(\dfrac{0.18\ N}{2\ A\times 0.6\times 0.3\ T})

\theta=30^{\circ}

So, the angle the wire make with respect to the magnetic field is 30°. Hence, this is the required solution.

5 0
3 years ago
How do i solve this step by step
NikAS [45]

Answer:

176.4 meters

Explanation:

The first equation is for average velocity.  The other three are the constant acceleration equations you'll need to know.

v = at + v₀

v² = v₀² + 2a(x − x₀)

x = x₀ + v₀ t + ½ at²

x is the final position

x₀ is the initial position

v is the final velocity

v₀ is the initial velocity

t is time

a is acceleration

Notice that the first equation is independent of position.

The second equation is independent of time.

The third equation is independent of final velocity.

So knowing which information you <em>don't</em> have will point you to which equation you should use.

Let's begin:

"Which one would be best to find the distance the object fell from free-fall if it fell for six seconds, assuming if fell in the absence of air resistance and it still hasn't hit the ground?  Solve this problem and show all steps of work."

We want to find the distance (change in position).  We're given the time (t = 6 s) and we're given the acceleration (free fall without air resistance, so a = -9.8 m/s²).

We aren't given the final velocity, so the equation we should use is the third one:

y = y₀ + v₀ t + ½ at²

Unfortunately, we aren't told the initial velocity, but if we assume that the object starts at rest, then v₀ = 0 m/s.  Substituting all values:

y = y₀ + (0 m/s) (6 s) + ½ (-9.8 m/s²) (6 s)²

y − y₀ = -176.4 m

The displacement is -176.4 m.  Distance is the magnitude of displacement, so we can say the object fell 176.4 meters.

3 0
3 years ago
Determine the quantity of work done when a crane lifts a 100-N block from 2m above the ground to 6m above the ground
Sedaia [141]
You can use the formula:
Work = Force × Distance
W = 100 * (6 - 2)
W = 100 * 4
W = 400 J

hope this helps :)
7 0
3 years ago
Marcia ran at a speed of 3.50 meters per second. How fast was she running in kilometers per hour?
RUDIKE [14]
3.5 meters per second

60sec=1min
60min=1 hr

3.5*60*60= meters per hour
=12600

1000meter= 1 km

12600/1000= km per hr
=12.6 km per hour
4 0
3 years ago
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