<span>A. </span>Let’s
say the horizontal component of the velocity is vx and the vertical is vy. <span>
Initially at t=0 (as the mug leaves the counter) the
components are v0x and v0y.
<span>v0y = 0 since the customer slides it horizontally so applied
force is in the x component only.
<span>The equations for horizontal and vertical projectile motion
are:
x = x0 + v0x t
y = y0 + v0y t - 1/2 g t^2 = y0 - 1/2 g t^2 </span></span></span>
Setting the origin to be the end corner of the
counter so that x0=0 and y0=0, hence:
x = v0x t
y = - 1/2 g t^2
Given value are: x=1.50m and y=-1.15m (y is
negative since mug is going down)
<span>1.50m = v0x t
----> v0x= 1.50/t</span>
<span>-1.15m = -(1/2) (9.81) t^2 -----> t =0.4842 s</span>
Calculating for v0x:
v0x = 3.10 m/s
<span>B. </span>v0x
is constant since there are no other horizontal forces so, v0x=vx=3.10m/s
vy can be calculated from the formula:
<span>vy = v0y + at where a=-g
(negative since going down)</span>
vy = -gt = -9.81 (0.4842)
vy = -4.75 m/s
Now to get the angle below the horizontal, tan(90-Ø) = -vx/vy
tan(90-Ø )= 3.1/4.75
Ø =
56.87˚<span> below the horizontal</span>
Explanation:
Fe₂O₃ + CO → Fe₃O₄ + CO₂
Balancing the equation above, we can derive simple mathematical equations that are very easy to solve.
aFe₂O₃ + bCO → cFe₃O₄ + dCO₂
a,b,c and d are the coefficients needed to balance the equation above;
Conserving Fe; 2a = 3c
O: 3a + b = 4c + 2d
C: b = d
let a = 1;
c = 
Since b = d
3a + d = 4c + 2d
3a = 4c + 2d - d
3a = 4c + d
a = 1, c =
3 = 4 x + d
d = 
b =
multiplying a, b, c and d by 3:
a = 3 b = 1 c = 2 and d = 1
3Fe₂O₃ + CO → 2Fe₃O₄ + CO₂
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3260÷4=815 which is you average seed
Answer:
Explanation:
The magnitude of the load and the cross sectional area of the wire
σ = F/A
higher loads and smaller areas result in greater stresses.
The freshwater reservoirs on earth are ranked by volume, with the one with the biggest volume at the top is-
1. ice caps; 2. groundwater; 3. lakes; 4. rivers.
<h3>Explain the freshwater reservoirs on earth?</h3>
The atmosphere, the earth's surface, and the earth's interior are the three main locations where water can be kept.
- Oceans, glacier ice, underground, lakes, soil humidity, living organisms, atmospheric atmosphere, and rivers are examples of these reservoirs, which are used to store water.
- There is an estimated 1.386 billion km3 (330 million cubic miles) of water on Earth, of which 97.5% is salt water and 2.5% is fresh water.
- Only 0.3% of a fresh water is liquid at the surface.
- More than 70% of freshwater is utilized for agriculture in the majority of the world's areas.
- An estimated 50% increase in agricultural output and a 15% increase in water flows are needed by 2050 to feed a globe of 9 billion people.
Thus, the freshwater reservoirs on earth are ranked by volume, with the one with the biggest volume at the top is-
- 1. ice caps
- 2. groundwater
- 3. lakes
- 4. rivers
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