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A particle initially at rest is subjected to two forces. One is constant, the other is a retarding force proportion at to the particle velocity. In the subsequent motion of the particle
- a)The acceleration will increase from zero to a constant value
- b)The acceleration will decrease from its initial value to zero
- c)The velocity will increase from zero to maximum & then decrease
- d)The velocity will increase from zero to a constant value.
Correct answer is option 'B,D'. Can you explain this answer?
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Verified Answer
A particle initially at rest is subjected to two forces. One is consta...
This represents a case that is similar to that of a raindrop attaining terminal velocity.
Fnet = (k1 – k2v)
The acceleration wil become 0 and the velocity will be constant eventually.
Hence B and D
Fnet = (k1 – k2v)
The acceleration wil become 0 and the velocity will be constant eventually.
Hence B and D
Most Upvoted Answer
A particle initially at rest is subjected to two forces. One is consta...
Relate the situation with a raindrop falling to earth
the drop will fall in a const. velocity
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A particle initially at rest is subjected to two forces. One is consta...
C) The velocity will increase from zero to maximum.
Since the particle is initially at rest, its initial velocity is zero. As the particle starts to move, the retarding force, which is proportional to the particle's velocity, will gradually decrease as the velocity increases. This means that the net force acting on the particle will also decrease.
According to Newton's second law of motion, F = ma, where F is the net force, m is the mass of the particle, and a is the acceleration. Since the net force is decreasing, the acceleration will also decrease as the particle's velocity increases. This means that the particle's acceleration will not increase from zero to a constant value.
However, since the particle is being subjected to a retarding force, the acceleration will not remain constant. It will decrease from its initial value to zero as the particle's velocity increases. Once the particle reaches its maximum velocity, the retarding force will be equal to the constant force acting on it, resulting in zero net force and zero acceleration.
Therefore, option c) is correct. The velocity of the particle will increase from zero to maximum.
Since the particle is initially at rest, its initial velocity is zero. As the particle starts to move, the retarding force, which is proportional to the particle's velocity, will gradually decrease as the velocity increases. This means that the net force acting on the particle will also decrease.
According to Newton's second law of motion, F = ma, where F is the net force, m is the mass of the particle, and a is the acceleration. Since the net force is decreasing, the acceleration will also decrease as the particle's velocity increases. This means that the particle's acceleration will not increase from zero to a constant value.
However, since the particle is being subjected to a retarding force, the acceleration will not remain constant. It will decrease from its initial value to zero as the particle's velocity increases. Once the particle reaches its maximum velocity, the retarding force will be equal to the constant force acting on it, resulting in zero net force and zero acceleration.
Therefore, option c) is correct. The velocity of the particle will increase from zero to maximum.
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A particle initially at rest is subjected to two forces. One is constant, the other is a retarding force proportion at to the particle velocity. In the subsequent motion of the particlea)The acceleration will increase from zero to a constant valueb)The acceleration will decrease from its initial value to zeroc)The velocity will increase from zero to maximum & then decreased)The velocity will increase from zero to a constant value.Correct answer is option 'B,D'. Can you explain this answer?
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