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3 years ago

A 0.5 kg ball moving at a speed of 3m/s rolls up a hill. How high does the ball roll before it stops

1 answer:

3 0

According to conservation of energy
Kinetic energy at the bottom of hill = potential energy at top of hill
Kinetic energy(KE)= 0.5×mass(m)×velocity(v)²
where m=0.5 kg, and v= 3 m/s, v²=9
KE=0.5×0.5×9=2.25 J = PE
PE=m×gravitational acceleration(g)×height(h)
h=2.25/(0.5×9.8)=0.459 m

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3 years ago

Read 2 more answers

A very small object with mass 8.30×10-9 kg and positive charge 6.90×10-9 C is projected directly toward a very large insulating

Rainbow [258]

Answer:

$41.4496148484\ m/s$

Explanation:

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$\Delta x$ = 0.57-0.26

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Electric field due to a sheet is given by

$E=\dfrac{\sigma}{2\epsilon_0}\\\Rightarrow E=\dfrac{5.9\times 10^{-8}}{2\times 8.85\times 10^{-12}}\\\Rightarrow E=3333.33\ V/m$

Electric field is given by

$E=\dfrac{V}{d}$

Voltage is given by

$V=E\Delta x$

Kinetic energy is given by

$K=qV$

$\dfrac{1}{2}mv^2=qE\Delta x\\\Rightarrow v=\sqrt{\dfrac{2qE\Delta x}{m}}\\\Rightarrow v=\sqrt{\dfrac{2\times 6.9\times 10^{-9}\times 3333.33\times (0.57-0.26)}{8.3\times 10^{-9}}}\\\Rightarrow v=41.4496148484\ m/s$

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3 years ago

(50 POINT REWARD) PHYSICS, IMAGE IS ATTACHED BELOW (TRIG/VECTORS)

daser333 [38]

Answer:

Explanation:

The east vector is 10cos45 = 7.07 km

The north vector is 10sin45 - 10 = -2.93 km

The displacement magnitude is

d = √(7.07² + 2.93²) = 7.65... = 8 km

θ = arctan(-2.93/7.07) = -22.51... = 23° south of east.

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3 years ago

Resonance occurs when an object vibrating at or near the resonant frequency of a second object to vibrate. What form of waves ar

Ivanshal [37]

Answer:

Resonance depends on objects, this may happen for example when you play guitar in a given room, you may find that for some notes the walls or some object vibrate more than for others. This is because those notes are near the frequency of resonance of the walls.

So waves involved are waves that can move or affect objects (in this case the pressure waves of the sound, and the waves that are moving the wall).

this means that the waves are mechanic waves.

Now, in electromagnetics, you also can find resonance frequencies for electromagnetic waves trapped in things called cavities, but this is a different topic.

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3 years ago