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Alborosie
3 years ago
10

What is meant by uniform acceleration​

Physics
2 answers:
Korolek [52]3 years ago
8 0

When an object undergoes uniform acceleration, its velocity changes by the same amount per unit of time.

For example, a person jumping off a cliff into a pool of water below undergoes a uniform acceleration of approximately 9.81m/s². This means that, for every second that passes, the person's downward velocity increases by 9.81m/s

Darina [25.2K]3 years ago
7 0

Uniform acceleration basically means acceleration that is constant, the same speed or velocity the whole time. Nothing more to add really.

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Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other heading west. Assuming that eac
Oksanka [162]

Answer:

101.54m/h

Explanation:

Given that the buses are 5mi apart, and that they are both driving at the same speed of 55m/h, rate of change of distance can be determined using differentiation as;

Let l be the be the distance further away at which they will meet from the current points;

l=\sqrt{13^2-5^2}=12m\\\\\frac{dl}{dt}=-(55m/h+55m/h})\\\\=-110m/h#The speed toward each other.

\frac{dh}{dt}=0, \ \ \ \ h=constant\\\\h^2+l^2=b^2\\\\2h\frac{dh}{dt}+2l\frac{dl}{dt}=2b\frac{db}{dt}\\\\2\times5\times0+2\times12\times(-110)=2\times13\frac{db}{dt}\\\\\frac{db}{dt}=-101.54m/h

Hence, the rate at which the distance between the buses is changing when they are 13mi apart is 101.54m/h

4 0
3 years ago
Water in a tank is pressurized by air and pressure measured using a multi-fluid manometer. Determine the gage pressure of air in
sattari [20]

Answer:

The gauge pressure of air is 110 kpa

Explanation:

Atmospheric pressure, P_{atm} = 101 Kpa

P_{gauge} + \rho_w gh_1 + \rho_o gh_2 -\rho_{Hg} gh_3 =P_{atm}

P_{gauge}  = P_{atm} - \rho_w gh_1 - \rho_o gh_2 +\rho_{Hg} gh_3

where;

ρw is the density of water = 1000 kg/m³

ρo is the density of oil = 800 kg/m³

ρHg is the density of mercury = 13,600 kg/m³

g is acceleration due to gravity = 9.8 m/s²

P_{gauge}  = 101,000 - (1000* 9.8*0.2) - (800* 9.8*0.3) +(13,600* 9.8*0.46)\\\\P_{gauge}  = 101,000 - 1960 - 2352 + 13610.26\\\\P_{gauge}  = 110,298.26 pa

Therefore, the gauge pressure of air is 110 kpa

4 0
4 years ago
A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously m
Karolina [17]

Answer:

3.1 miles

Explanation:

To solve this question it is important to remember that the distance between two mile markers is approximately 1 mile

Once this is known, the question becomes very easy to solve. We make two triangle, which have the following three points

Triangle 1: Hot-Air-Balloon, Ground, Milepost 1 - With angle of depression 20

Triangle 2: Hot-Air-Balloon, Ground, Milepost 2 - With angle of depression 18

As a reminder, the angle of depression is simply the angle the balloonist's head makes with the horizontal plane to be able to see the milepost.

From this we can simply drive two formulas using the Tan function

Equation 1 - Tan(90-18) = \frac{b+1}{h}

Equation 2 - Tan(90-20) = \frac{b}{h}

Solving them simultaneously we get the value of height (h) to be 3.0852 miles or 3.1 miles

8 0
4 years ago
f the absolute pressure in a tank is 128 kPa , determine the pressure head in mm of mercury. The atmospheric pressure is 100 kPa
White raven [17]

Answer:

211 mmHg

Explanation:

Absolute Pressure = Gauge Pressure + Atmospheric pressure

128 = Gauge Pressure + 100

Gauge Pressure = 28 KPa = 28 × 10³ Pa

Also Gauge Pressure = ρgh

ρ = density = 13550 kg/m³

g = acceleration due to gravity = 9.8 m/s²

h = pressure head = ?

28 × 10³ = 13550 × 9.8 × h

h = 28000/(13550 × 9.8)

h = 0.211 m = 211 mm

5 0
3 years ago
The density of a solid cube is 678.2 kg/m^3. (Note that each edge is 4.8 cm in length and the mass is 75g.) When the cube is pla
Galina-37 [17]

Answer:

Part a)

F = 0.735 N

Part b)

percentage = 67.9%

Explanation:

As we know that mass of the cube is given as

M = \rho V

M = \rho a^3

M = (678.2) (4.8 \times 10^{-2})^3

M = 0.075 kg

Now we know that cube is floating in the water

So net force due to weight of the cube must be counter balanced by buoyancy force on the liquid

so we have

F_b = mg

F_b = 0.075 \times 9.81

F_b = 0.735 N

Part b)

Percentage of volume submerged into the liquid is given as

F_b = \rho V g

0.735 = 1000 V \times 9.8

V = 7.71 \times 10^{-5} m^3

now percentage of submerged liquid is given as

percentage = \frac{7.71 \times 10^{-5}}{(4.8 \times 10^{-2})^3}\times 100

percentage = 67.9%

5 0
3 years ago
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