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lisabon 2012 [21]
3 years ago
11

A student builds a rocket-propelled cart for a science project. Its acceleration is not quite high enough to win a prize, so he

uses a larger rocket engine that provides 39% more thrust, although doing so increases the mass of the cart by 13%. By what percentage does the cart's acceleration increase?
Physics
1 answer:
irina [24]3 years ago
5 0

Answer:

Explanation:

a = F / m

where a is acceleration , F is thrust and m is mass

taking log and differentiating

da / a = dF / F - dm / m

(da / a)x 100 = (dF / F)x100 - (dm / m) x100

percentage increase in a = percentage increase in F - percentage increase in m

= percentage increase in acceleration a   = 39 - 13 = 26 %

required increase = 26 %.

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A ship maneuvers to within 2.50 x 10^3 m of an islands 1.80 x 10^3 m high mountain peak and fires a projectile at an enemy ship
Neporo4naja [7]

Answer:

Explanation:

Distance between ship and enemy ship

= 500 + 610

= 3110 m

Range of projectile

R = u² sin2θ / g

= (250x 250 sin 150) / 9.8

= 3188m

The projectile falls within a distance of 3188 - 3110 = 78 m from enemy ship

Height of mountain = 1800 m

We shall find the height of projectile when its horizontal displacement is 2500m

x = 2500 , y = ?

u = 2500 ,

y = x / cos θ - .5 g x² /u²cos² θ

\frac{2500}{.2588} - \frac{.5 \times9.8\times2500\times2500}{250\times250\times.2588}

9660 - 7315 m

= 2345 m

It is within 545 m from mountain peak .

8 0
3 years ago
Two large parallel conducting plates carrying opposite charges of equal magnitude are separated by 2.20 cm. If the surface charg
bekas [8.4K]

Answer:

5.3\times 10^3 N/C

Explanation:

We are given that

Distance between plates=d=2.2 cm=2.2\times 10^{-2} m

1 cm=10^{-2} m

\sigma=47nC/m^2=47\times 10^{-9}C/m^2

Using 1 nC=10^{-9} C

We have to find the magnitude of E in the region between the plates.

We know that the electric field for parallel plates

E=\frac{\sigma}{2\epsilon_0}

E_1=\frac{\sigma}{2\epsilon_0}

E_2=\frac{\sigma}{2\epsilon_0}

E=E_1+E_2

E=\frac{\sigma}{2\epsilon_0}+\frac{\sigma}{2\epsilon_0}=\frac{\sigma}{\epsilon_0}

Where \epsilon_0=8.85\times 10^{-12}C^2/Nm^2

Substitute the values

E=\frac{47\times 10^{-9}}{8.85\times 10^{-12}}

E=5.3\times 10^3 N/C

Hence, the magnitude of E in the region between the plates=5.3\times 10^3 N/C

5 0
3 years ago
A 25kg crate is at rest on a floor but is pushed by a force of 60N to the right . If the crate remains at rest, determine the co
Ymorist [56]

Ff=μN=>μ=Ff/N=Ff/mg=60/25*10=6/25=0.24

3 0
4 years ago
why does chelsea see sparks as she removes her clothes from the clothes dryer? conduction. induction. static discharge. loss of
ollegr [7]

Answer:

It would be static discharge and conduction

Explanation:

The conduction of static energy is pulled throughout the clothes and left over static electricity is what causes the spark.

4 0
3 years ago
Read 2 more answers
Increasing the amplitude of a traveling wave with a period T will
goblinko [34]
<span>Amplitude is the maximum extent of vibration
As by increasing the amplitude the wave speed ,frequency and wavelength will remain same so it will increase </span><span>the speed of the individual particle in the medium. 
This will increase wave energy
so correct option is B
hope it helps</span>
6 0
4 years ago
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