The situation given above is that of the geometric sequence with first term equal to 75 meters and the common ratio equal to 0.40. The sum of the terms for an infinite geometric sequence is expressed in the equation,
S = a1/(1 - r)
Substituting,
S = (75 m) / (1 - 0.4) = 125 m
Therefore, the total distance that the pendulum had swung before finally coming to rest is 125 m.
Answer:
The acceleration of Trout is largest.
Explanation:
Speed of Thomson's gazelle, v = 13 m/s in 3 s. Let us assumed that initial speed is 0. Acceleration is given by :
Speed of lion is 9.5 m/s in 10 s. Let us assumed that initial speed is 0. Acceleration is given by :
A trout can reach a speed of 2.8 m/s in 0.12 s. Let us assumed that initial speed is 0. Acceleration is given by :
It is clear that the acceleration of Thomson's gazelle, lion and trout is respectively. So, the acceleration of Trout is largest.
Answer:
0.71%
Explanation:
We are given that
Error in each resistor=0.05 ohm
ohm
We have to find the maximum possible error in computing R.
Maximum possible error=
Substitute the values
Maximum possible error=%
Answer:
Compasses are mainly used in navigation to find direction on the earth. This works because the Earth itself has a magnetic field which is similar to that of a bar magnet. The compass needle aligns with the Earth's magnetic field direction and points north-south. Also, In a magnet all the domains are oriented in the same direction. In the case of a nail, the domains can be aligned in the same direction causing the nail to become magnetic. That is because if you hang a bar magnet from a thread, the north pole will point to magnetic north. When you bring one north pole close to another north pole they repel each other. You can feel the two magnets pushing each other apart.
Explanation:
The velocity of light in a medium of refractive index
The exact value of speed of light in vacuum is .
For Cherenkov radiation to be emitted, the velocity of the charged particle traversing the medium must be greater than this velocity. Thus, the threshold velocity of for creating Cherenkov radiation is,
For water
For ethanol