Answer:
1. 5 m/s
2. 8 m/s
3. 10 s
4. 3 m/s
Explanation:
1. Average speed = distance / time
s = 20 m / 4 s
s = 5 m/s
2. First, find the time to travel from A to B:
60 m = 10 m/s × t
t = 6 s
Now find the average speed from A to C:
s = 80 m / (6 s + 4 s)
s = 8 m/s
3. If t is the time traveling from C back to B, and the average speed of the whole trip is 5 m/s, then:
5 m/s = 100 m / (6 s + 4 s + t)
t = 10 s
4. Average velocity = displacement / time
v = 60 m / 20 s
v = 3 m/s
Answer:
198.2m/s
Explanation:
Speed of a wave(v) is the product of the frequency of the wave (f) and its wavelength(¶).
Mathematically, v = f/¶
Given frequency of the middle C = 261.63Hz
Wavelength = 131.87cm
Converting this to meters we have;
131.87/100 = 1.32m
Speed of the sound = 261.63/1.32
Speed of the sound = 198.20m/s
Therefore the speed of sound for middle C is 198.2m/s
Answer:
0.5
Explanation:
The energy of a charged capacitor is given by
where
is the charge on it and
is its capacitance. The capacitance is defined, geometrically, as

where
is a constant that is determined by the material between the plates,
is the area of the plates and
is the distance between them. It is then that the capacitance is linearly inversely proportional to the separation distance; as the distance increases, the capacitance reduces.
Because it is linear, when the separation distance is doubled, other factors remaining constant, the capacitance is halved. Because the capacitance is halved, the energy is halved.
Let's see the mathematics.
Initial capacitance,
at initial separation, 

If separation is doubled, separation becomes
. Then the capacitance becomes




Initial energy, 
Final energy, 

Hence, 
Answer:
5115.2 J
Explanation:
Work: This can be defined as product of force and distance. The S.I unit of work is Joules (J).
From the question,
The expression for work is given as
W = F×d................. Equation 1
Where W = Work done by team A, F = Force applied by team A, d = distance moved by team B.
Given: F = 1390 N, d = 3.68 m
Substitute into equation 1
W = 1390×3.68
W = 5115.2 J.
Hence the work done by team A in pulling team B = 5115.2 J
Answer: 3.33 m/s
Explanation:
Assuming the questions is to convert 12 km/h to meter per second (m/s), let's begin:
In order to make the conversion, we have to know the following:

And:

Keeping this in mind, we can make the conversion:

Then:
