Please solve last four questions

You place a large pebble in a slingshot, pull the elastic band back to your chin, and release it, launching the pebble horizonta

sladkih [1.3K]

Answer:

The larger pebble has 25 times more mass.

Explanation:

To solve the exercise it is necessary to apply the work and energy conservation equations.

For the case described, the work done must be preserved and must be the same, that is,

$W = 0$

By definition work linked to the conservation of kinetic energy would be given by

$\Delta KE = W = 0$

$\Delta KE = 0$

$KE_{larger}-KE_{smaller} = 0$

$KE_{larger}=KE_{smaller}$

$\frac{1}{2}m_lv_l^2 = \frac{1}{2}m_sv_s^2$

$m_lv_l^2 = m_sv_s^2$

The ratio between the mass and the velocity would be,

$\frac{m_l}{m_s}=\frac{v_s^2}{v_l^2}$

$\frac{m_l}{m_s} = \frac{500^2}{100^2}$

$\frac{m_l}{m_s} = 25$

Therefore the answer is: The larger pebble has 25 times more mass.

4 0

3 years ago

A 3874-kg rollercoaster is brought to the top of a 42m hill in 40 seconds,then drops 28m before the next hill.

Ede4ka [16]

(a) The work required to get the coaster to the top of the first hill is 1,594,538.4 J.

(b) The power required to bring the train to the top of the first hill is 39,863.46 W.

(c) The energy lost when the coaster drops is 531,512.8 J.

(d) The left at the bottom is determined as 1,063,025.6 J.

<h3>Work done to bring the rollercoaster top of the hill</h3>

W = Fn x d = mgh

W = 3874 x 9.8 x 42

W = 1,594,538.4 J

<h3>Power dissipated in bringing the rollercoaster on top hill</h3>

P = Fv

P = Fd/t

P = W/t

P = 1,594,538.4 /40 = 39,863.46 W

<h3>Energy lost when the coaster drops</h3>

E = 1,594,538.4 - (3874 x 9.8 x 28)

E = 531,512.8 J

<h3>Energy left at the bottom</h3>

E = 3874 x 9.8 x 28 = 1,063,025.6 J

Learn more about energy here: brainly.com/question/13881533

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6 0

2 years ago

Astronomers have found water on mars.

vodomira [7]

The thin atmosphere of Mars is thought to be due to the planet's lack of a magnetic field, which has allowed the Solar wind to blow away much of the gas the planet once had. Venus, despite still having a thick atmosphere of CO2, surprisingly has a similar problem

4 0

2 years ago

One chef places a pie in the oven at a low setting so that it is baked in one hour. Another chief place a pie in the oven at a h

KengaRu [80]

In each case, (the pie in a low setting at one hour versus the pie in a high setting at thirty minutes) the amount of energy is the same. However, the amount of power is different. Since power is the amount of work put in certain amount of time, the power in the high setting is larger compared to the power in the low setting.

7 0

3 years ago

Why does Newton's law of universal gravitation apply to all objects in the universe? Explain.

gizmo_the_mogwai [7]

Newton's law of Universal Gravitation tells that Force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

As there is mass for every object, and they are separated by certain distance (from 1 cm to more than hundreds of light years), they exerts Gravitational force on each other

Hope this helps!

5 0

3 years ago

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