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A bullet emerge from a barrel of length 1.2 m with aspeed of 640 ms-1. Assuming constant acceleration,the approximate time that is spends in the barrel afterthe gun is fired is
- a)4 ms
- b)40 ms
- c)400 μs
- d)1s
Correct answer is option 'A'. Can you explain this answer?
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A bullet emerge from a barrel of length 1.2 m with aspeed of 640 ms-1....
Given data:
Length of the barrel, l = 1.2 m
Final velocity of the bullet, v = 640 m/s
To find: Time spent by the bullet in the barrel after the gun is fired.
We know that the motion of the bullet in the barrel is an example of uniformly accelerated motion.
The formula for uniformly accelerated motion is:
v = u + at
where,
v = final velocity
u = initial velocity (which is zero in this case)
a = acceleration
t = time taken
We also know that the acceleration, a is given by:
a = (v^2 - u^2) / 2l
where,
l = length of the barrel
Substituting the given values in the above formula, we get:
a = (640^2 - 0^2) / (2 x 1.2)
a = 182222.22 m/s^2
Substituting the values of v, u and a in the first formula, we get:
640 = 0 + (182222.22)t
Solving for t, we get:
t = 0.0035 s
Therefore, the approximate time that the bullet spends in the barrel after the gun is fired is 0.0035 s or 3.5 ms.
Hence, the correct option is (a) 4 ms.
Length of the barrel, l = 1.2 m
Final velocity of the bullet, v = 640 m/s
To find: Time spent by the bullet in the barrel after the gun is fired.
We know that the motion of the bullet in the barrel is an example of uniformly accelerated motion.
The formula for uniformly accelerated motion is:
v = u + at
where,
v = final velocity
u = initial velocity (which is zero in this case)
a = acceleration
t = time taken
We also know that the acceleration, a is given by:
a = (v^2 - u^2) / 2l
where,
l = length of the barrel
Substituting the given values in the above formula, we get:
a = (640^2 - 0^2) / (2 x 1.2)
a = 182222.22 m/s^2
Substituting the values of v, u and a in the first formula, we get:
640 = 0 + (182222.22)t
Solving for t, we get:
t = 0.0035 s
Therefore, the approximate time that the bullet spends in the barrel after the gun is fired is 0.0035 s or 3.5 ms.
Hence, the correct option is (a) 4 ms.
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Community Answer
A bullet emerge from a barrel of length 1.2 m with aspeed of 640 ms-1....
Okay am going to change my dp..u didn't reply at all and i don't know will u c the answer or not..incase u need again me to replace the dp with answer reply me...Yes option A is correct..if u need a full solution plz check my dp..!!and reply me if u understand or have any doubt...!!👍
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A bullet emerge from a barrel of length 1.2 m with aspeed of 640 ms-1. Assuming constant acceleration,the approximate time that is spends in the barrel afterthe gun is fired isa)4 msb)40 msc)400 μsd)1sCorrect answer is option 'A'. Can you explain this answer?
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