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3 years ago

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An astronaut on a strange new planet finds that she can jump up to a height of 72 m before she would fall back down to the surfa

ce when her initial speed is 60.0 m/s What is the magnitude of the acceleration due to gravity on the planet

1 answer:

gregori [183]3 years ago

7 0

Answer:

25m/s²

Explanation:

Using one of the equations of motion.

v² = u²+2as where

v is the final velocity of the astronaut

u is his initial velocity

a = -g (the acceleration will be acceleration due to gravity since he is acting under the influence of gravity. The value is negative because the astronaut jumps up to a particular height)

s = H = total height covered

The equation will then become;

v² = u²-2gH

Given

u = 60m/s

v = 0m/s

g = ?

H = 72m

Substituting the given value into the equation;

0² = 60²-2g(72)

0 = 3600-144g

-3600 = -144g

g = -3600/-144

g = 25m/s²

The magnitude of his acceleration due to gravity on the planet is 25m/s²

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Answer:

6 V

Explanation:

We can solve the problem by using Ohm's law:

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A certain car engine delivers enough force to create 630 N⋅m of torque when the engine is operating at 3200 revolutions per minu

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The appropriate expression for the calculation of power by relating the angular energy in a given time.

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$\omega = 3200rev/min$

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The average power delivered by the engine at this rotation rate is 211.1kW

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Suppose we repeat the experiment from the video, but this time we use a rocket three times as massive as the one in the video, a

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Answer:

2/3

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In the case shown in the question above, the momentum will happen due to the influence of the fluid that is in the rocket, which is proportional to the mass and speed of the same rocket. If we consider the constant speed, this will result in an increase in the momentum of the fluid. Based on this and considering that rocket and fluid has momentum in opposite directions we can make the following calculation:

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As we saw in the question above, the mass of the rocket is three times greater than that of the rocket in the video. For this reason, we can conclude that the calculation should be done with the rocket in its initial state and another calculation with its final state:

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3 years ago

A student writes the following script for a scene in a futuristic movie.

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The astronauts hearing the rocket landing is inaccurate. Sound waves can’t travel through a vacuum, meaning a place where there are no air particles. They are mechanical waves and require a medium to travel through. So, because there is no air in space, you can’t hear anything.

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3 years ago

Suppose that the inverse market demand for silicone replacement tips for Sony earbud headphones is p = pN - 0.1Q, where p is t

lbvjy [14]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The effect of a change in the price of a new pair of headphones on the equilibrium price of replacement tips ( dp/dpN) is

$\frac{\delta p}{\delta p_N} =1$

b

The value of Q and p at equilibruim is

$Q_e = 250$ and $p_d =$ 5

The consumer surplus is $C= 3125$

The producer surplus is $P = 375$

Explanation:

From the question we are told that

The inverse market demand is $p_d = p_N -0.1Q$

The inverse supply function is $p_s = 2+ 0.012Q$

a

The effect of change in the price is mathematically given as

$\frac{\delta p}{\delta p_N}$

Now differntiating the inverse market demand function with respect to $p_N$

We get that

$\frac{\delta p}{\delta p_N} =1$

b

We are told that $p_N =$ $30

Therefore the inverse market demand becomes

$p_d = 30 -0.1Q$

At equilibrium

$p_d = p_s$

So we have

$30 -0.1Q_e = 2+ 0.012Q_e$

Where $Q_e$ is the quantity at equilibrium

$28 = 0.112Q_e$

$Q_e = \frac{28}{0.112}$

$Q_e = 250$

Substituting the value of Q into the equation for the inverse market demand function

$p_d = 30 - 0.1 (250 )$

$p_d =$ 5

Looking at the equation for $p_d \ and \ p_s$ we see that

For Q = 0

$p_d = 30$

$p_s =2$

And for Q = 250

$p_d = 5$

$p_s = 5$

Hence the consumer surplus is mathematically evaluated as

$C = \frac{1}{2} * Q_e * (30 -5)$

Substituting value

$C = \frac{1}{2} * 250 (30-5)$

$C= 3125$

And

The producer surplus is mathematically evaluated as

$P = \frac{1}{2} *250 * (5-2)$

$P = 375$

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3 years ago