The minimum stopping distance when the car is moving at 32.0 m/s is 348.3 m.
<h3>
Acceleration of the car </h3>
The acceleration of the car before stopping at the given distance is calculated as follows;
v² = u² + 2as
when the car stops, v = 0
0 = u² + 2as
0 = 15² + 2(76.5)a
0 = 225 + 153a
-a = 225/153
a = - 1.47 m/s²
<h3>Distance traveled when the speed is 32 m/s</h3>
If the same force is applied, then acceleration is constant.
v² = u² + 2as
0 = 32² + 2(-1.47)s
2.94s = 1024
s = 348.3 m
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The efficiency of the appliance is 0.62 (62%)
Explanation:
The relationship between the power of the appliance and the energy used by it is
where
P is the power
E is the energy transferred in input
t is the time elapsed
For this appliance,
P = 7 W
So, in t = 42 s, the energy transferred in input is
We are told that the useful energy in output however is
Therefore, the efficiency of the appliance is
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Hello.
The formula for Power is Work divided by Time; however, we do not have our value for Work - yet.
To find for the Work inputted, we need to use its formula: Force * Distance.
Let's multiply our Force by our Distance. Remember that our Force is always measured in Newtons (N), and our Distance is measured by Meters (M).
35,000 * 25 = 875,000 J (Unit for Work is "J" or "Joules")
Now that we have the value for Work, let's apply it to our Power formula.
P = 875,000 / 45; 19,444.44~
The Power required to lift the girder is 1944.44~ W (Unit for Power is "W" or "Watts").
I hope this helps!
Answer:
Vf = 2000 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
where:
Vf = final velocity [m/s]
Vo = initial velocity = 1200 [m/s]
a = acceleration = 4 [m/s]
t = 200 [s]
Vf = 1200 + (4*200)
Vf = 1200 + 800
Vf = 2000 [m/s]
Answer:
Option B. 3660000 J
Explanation:
At the sea level, we'll assume that the height is 0 m. Hence, the potential energy at the sea level is zero.
Next, we shall determine the potential energy at a height of 366 m above the sea level. This can be obtained as follow:
Mass (m) = 1000 kg
Acceleration due to gravity (g) = 10 m/s²
Height (h) = 366 m
Potential energy (PE) =?
PE = mgh
PE = 1000 × 10 × 366
PE = 3660000 J
From the calculations made above, we can see clearly that the potential energy of the car at a height of 366 m above sea level is 3660000 J.
Hence, the potential energy of the car increases from 0 at the sea level to 3660000 J at 366 m above the sea level.