Two parallel rail tracks run north-south. Train A moves north with a speed of 50 km per hour and Train B moves south with the speed of 90 km per hour. What is
1. The velocity of B with respect to A
2. Velocity of ground with respect to B
3. Velocity of a monkey running on the roof of a train A against its motion (with a velocity of 18 km per hour with respect to train A) as observed by a man standing on the ground.
Answers
Answer:
Velocity of Monkey
with respect to ground is – VM
Velocity of Monkey
with respect to train A is - VA
Relative velocity of
Monkey with respect to train A - VMA
VMA = VM
- VA
Given - Velocity of
Monkey with respect to train A = VA = 54 Km/h = 54 x 5/18 m/s = 15
m/s
And Relative velocity
of Monkey with respect to train A = VMA = -18 Km/h = -18 x 5/18 = -5
m/s
(as monkey running
against the motion)
Therefore,
VMA = VM
- VA
-5 m/s = VM
– 15 m/s
VM = -5 m/s
+ 15 m/s
VM = 10 m/s
Answer - The velocity of a monkey running on roof
of a train A against its motion is 10 m/s
Velocity of Monkey
with respect to ground is – VM
Velocity of Monkey
with respect to train A is - VA
Relative velocity of
Monkey with respect to train A - VMA
VMA = VM
- VA
Given - Velocity of
Monkey with respect to train A = VA = 54 Km/h = 54 x 5/18 m/s = 15
m/s
And Relative velocity
of Monkey with respect to train A = VMA = -18 Km/h = -18 x 5/18 = -5
m/s
(as monkey running
against the motion)
Therefore,
VMA = VM
- VA
-5 m/s = VM
– 15 m/s
VM = -5 m/s
+ 15 m/s
VM = 10 m/s
Answer - The velocity of a monkey running on roof
of a train A against its motion is 10 m/s
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