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zzz [600]
3 years ago
13

A spring is used to launch a coffee mug. The 20cm long spring can be compressed by a maximum of 8cm. The mug has a mass of 500 g

. What kind of spring do you need to launch the mug at least 2 stories high (5 m) - as measured from the relaxed spring position - using the maximum compression?
Physics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

7664.06249 N/m

Explanation:

m = Mass of mug = 0.5 kg

x = Compression of spring = 0.08 m

h = Height of fall = 5 m

g = Acceleration due to gravity = 9.81 m/s²

The kinetic energy of the spring and potential energy of the fall are conserved

\frac{1}{2}kx^2=mgh\\\Rightarrow k=\frac{2mgh}{x^2}\\\Rightarrow k=\frac{2\times 0.5\times 9.81\times 5}{0.08^2}\\\Rightarrow k=7664.06249\ N/m

The spring constant of the spring is 7664.06249 N/m

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Photosynthesis's products are the reactants for cellular respiration. Photosynthesis equation: 6CO2 + 6H2O+ light ->C6H12O6 + 6O2. Then basically swap it and instead of light out in energy: C6H12O6 + 6O2 -> 6CO2 + 6H2O + Energy. Hope this helps!

6 0
4 years ago
A piece of aluminum requires 4,000 J of energy to change
photoshop1234 [79]

Answer:

Mass, m = 105.58 g

Explanation:

We have,

Heat required in aluminium to change the temperature from 68°C to 110°C. It is required to find the mass of aluminium.

Concept used : Specific heat capacity

Solution,

The heat required to raise the temperature is given by :

Q=mc\Delta T

c is specific heat capacity, for Aluminium, c = 0.902 J/g-°C

m=\dfrac{Q}{c\Delta T}\\\\m=\dfrac{4000\ J}{0.902\ J/g^{\circ} C\times (110-68)^{\circ} C}}\\\\m=105.58\ g

So, the mass of aluminium is 105.58 grams.

8 0
3 years ago
The driver of a car slams on the brakes, causing the car to slow down at a rate of
Alona [7]

Answer:

The time taken for the car to stop is 5.43 s.

The initial velocity of the car is 108.6 ft/s

Explanation:

The following data were obtained from the question:

Acceleration (a) = –20 ft/s² (since the car is coming to rest)

Distance travalled (s) = 295 ft

Final velocity (v) = 0 ft/s

Time taken (t) =?

Initial velocity (u) =?

Next, we shall determine the initial velocity of the car as shown below:

v² = u² + 2as

0² = u² + (2 × –20 × 295)

0 = u² + (–11800)

0 = u² – 11800

Collect like terms

0 + 11800 = u²

11800 = u²

Take the square root of both side

u = √11800

u = 108.6 ft/s

Therefore, the initial velocity of the car is 108.6 ft/s.

Finally, we shall determine the time taken for the car to stop as shown below:

Acceleration (a) = –20 ft/s² (since the car is coming to rest)

Final velocity (v) = 0 ft/s

Initial velocity (u) = 108.6 ft/s

Time taken (t) =?

v = u + at

0 = 108.6 + (–20 × t)

0 = 108.6 + (–20t)

0 = 108.6 – 20t

Collect like terms

0 – 108.6 = – 20t

– 108.6 = – 20t

Divide both side by –20

t = – 108.6 / –20

t = 5.43 s

Therefore, the time taken for the car to stop is 5.43 s.

8 0
3 years ago
What is the final concentration of DD at equilibrium if the initial concentrations are [A][A]A_i = 1.00 MM and [B][B]B_i = 2.00
pentagon [3]

Answer:

A) Concentration of A left at equilibrium of we started the reaction with [A] = 2.00 M and [B] = 2.00 M is 0.55 M.

B) Final concentration of D at equilibrium if the initial concentrations are [A] = 1.00 M and [B] = 2.00 M is 0.90 M.

[D] = 0.90 M

Explanation:

With the first assumption that the volume of reacting mixture doesn't change throughout the reaction.

This allows us to use concentration in mol/L interchangeably with number of moles in stoichiometric calculations.

- The first attached image contains the correct question.

- The solution to part A is presented in the second attached image.

- The solution to part B is presented in the third attached image.

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4 years ago
If a generator makes 6000 revolutions in two minutes, how many revolutions does it make each second?
MArishka [77]
50 6000 divided by 120 to get the answer
8 0
4 years ago
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