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WARRIOR [948]
3 years ago
6

If a ball is dropped from a height its velocity will increase until it hits the ground, assuming that aerodynamic drag due to th

e air is negligible. During its fall, its initial potential energy is converted into kinetic energy. If the ball is dropped from a height of 800 centimeters [cm], and the impact velocity is 41 feet per second [ft/s], determine the value of gravity in units of meters per second squared [m/s2].
Engineering
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

g = 9.69 m/s²

Explanation:

given,

height from where ball is dropped = 800 cm = 8 m

impact velocity = 41 ft/s = 41 × 0.3048 = 12.45 m/s

acceleration due to gravity = ?    

initial potential energy is given by

PE = m g h                          

     = m g × 8                            

     = 8 mg..............(1)

now final kinetic energy

KE= \dfrac{1}{2}m(v)^2

KE= \dfrac{1}{2}m(12.45)^2

            =77.50 m.....................(2)

comparing equation (1) to (2)

8 mg = 77.50 m

g = 77.5/8

g = 9.69 m/s²

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2 years ago
What is the relative % change in P if we double the absolute temperature of an ideal gas keeping mass and volume constant?
Contact [7]

Answer:  100% (double)

Explanation:

The question tells us two important things:

  1. Mass remains constant
  2. Volume remains constant

(We can think in a gas enclosed in a  closed bottle, which is heated, for instance)

In this case we know that, as always the gas can be considered as ideal, we can apply the general equation for ideal gases, as follows:

  1. State 1 (P1, V1, n1, T1)  ⇒ P1*V1 = n1*R*T1
  2. State 2 (P2, V2, n2, T2) ⇒ P2*V2 = n2*R*T2

But we know that V1=V2 and that n1=n2, som dividing both sides, we get:

P1/P2 = T1/T2, i.e, if T2=2 T1, in order to keep both sides equal, we need that P2= 2 P1.

This result is just reasonable, because as temperature measures the kinetic energy of the gas molecules, if temperature increases, the kinetic energy will also increase, and consequently, the frequency of collisions of the molecules (which is the pressure) will also increase in the same proportion.

6 0
3 years ago
3 MAOP stands for which of the following?
raketka [301]

Answer:

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Explanation:

3 0
3 years ago
An air conditioner removes heat steadily from a house at a rate of 750 kJ/min while drawing electric power at a rate of 6 kW. De
Paraphin [41]

Answer:

a. 2.08, b. 1110 kJ/min

Explanation:

The power consumption and the cooling rate of an air conditioner are given. The COP or Coefficient of Performance and the rate of heat rejection are to be determined. <u>Assume that the air conditioner operates steadily.</u>

a. The coefficient of performance of the air conditioner (refrigerator) is determined from its definition, which is

COP(r) = Q(L)/W(net in), where Q(L) is the rate of heat removed and W(net in) is the work done to remove said heat

COP(r) = (750 kJ/min/6 kW) x (1 kW/60kJ/min) = 2.08

The COP of this air conditioner is 2.08.

b. The rate of heat discharged to the outside air is determined from the energy balance.

Q(H) = Q(L) + W(net in)

Q(H) = 750 kJ/min + 6 x 60 kJ/min = 1110 kJ/min

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3 years ago
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Explanation:

The river has an average rate of water flow of 59.6 m³/s.

Tributary B accounts for 47% of the rate of water flow. Therefore the rate of water flow through tributary B is:

Flow rate of water through tributary B = 47% of 59.6 m³/s = 0.47 * 59.6 m³/s = 28.012 m³/s

The volume of water that has been discharged through tributary B = Flow rate of water through tributary B * time taken

time = 30 minutes = 30 minutes * 60 seconds / minute = 1800 seconds

The volume of water that has been discharged through tributary B in 30 seconds = 28.012 m³/s * 1800 seconds = 50421.6 m³

3 0
3 years ago
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