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3 years ago

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A bowling ball weighs 7.26 kg and takes 3.64 seconds to travel the 19.2 m length of the bowling alley. assuming the velocity is

constant, what is the kinetic energy of the bowling ball?

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

The answer is attached.

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numerade A 62 kg bungee jumper jumps from a bridge. She is tied to a bungee cord whose unstretched length is 12 m. She falls a t

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Answer:

k = 104.5 N/m

Explanation:

When she reaches the lowest point the velocity of the jumper is 0. This means all her kinetic energy has been absorbed by the cord.

The energy absorbed by a spring (a cord can be treated as a spring when it's being stretched) is:

$Ee = \frac{1}{2}*k*\Delta x^{2}$

Where:

Ee = elastic potential energy

k = elastic constant

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When a body falls, it's potential gravitational energy is converted to kinetic energy. So the kinetic energy of a body can be calculated as the gravitational potential energy it lost.

The gravitational potential energy is:

$Ep = m * g * \Delta h$

Where:

Ep: potential gravitational energy

m: mass

g: acceleration of gravity

Δh: change of height (final - initial)

When she has fallen 31 m she has lost

62 kg * 9.81 m/s^2 * 31 m = 18854 J

Since her velocity at the bottom is 0, her kinetic energy is 0 J.

All her kinetic energy has been absorbed by the cord and transformed into elastic potential energy. So we can equate these two energies.

Ep = Ee

Then:

$Ep = \frac{1}{2}*k*\Delta x^{2}$

Δx = 31 m - 12 m = 19 m

From here the only unknown is k:

$k = 2 * Ep / (\Delta x ^{2})$

$k = 2 * 18854 J / ((19 m) ^{2}) = 104.5 N/m$

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3 years ago

a car has a velocity of 10ms-1. it accelerates at 0.2 ms-2 for half minute find the total distance travelled and final velocity

Readme [11.4K]

Answer:

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Total distane travelled = 390 m

Explanation:

We can use equation of motion to solve this:

$v = u + at \\ v = 10 + 0.2(30) \\ v = 16 {ms}^{ - 1}$

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