a body of 4 kg is kept at rest a constant force of 8n starts acting on it find the time taken by the body to cover distance of 16 m
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Answer:
A body of mass 1 kg is kept at rest. A constant force of 6N starts acting on it. What’s the time taken by the body to move through a distance of 12 m?
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I am amazed at how many answers were provided to a question that is so replete with contradictions in terms. I really believe that this question is absurd and truly, it is counter-educational:
A body of mass 1 kg is kept at rest: if this is true, then how could the body be moving at all? It’s either KEPT at REST, or it’s set in motion. Now, if the body was at rest; the question statement should simply say so.
A constant force of 6N starts acting on it.: what does this mean? Are we expected to infer that a “constant force” is a “NET FORCE”? No way. A constant force is NOT a NET force. A constant force MAY result in a net force. I can provide a hundred examples where a constant force acts on an object and there is no acceleration whatsoever. Besides, the body is kept at rest, remember? [Note: in case you really would like to hear an example, please ask.]
There is no indication that the box is on a surface. If it is on a surface, then there must be friction. This worsens the issues in the problem. If there is friction, then the constant force cannot be the net force. What if the constant force equals the force of kinetic friction? Then the object would not accelerate at all! It would move with a constant velocity. Reread Newton Law I. What if 6 N is LESS than FF MAX? The object will simply remain at rest.
What’s the time taken by the body to move through a distance of 12 m?: we have three options. None are conclusive. Option 1: is this body kept at rest or is it now in motion? If the latter, what made it move? If the “constant force” made it move (see #2), did it accelerate or did it move at constant velocity (see #3)? Option 2: as explained in #2, the acceleration can be ANY VALUE between zero and slightly less than 6 m/s/s. So the time taken can be anywhere from no time to slightly less than 2 seconds. Option 3: if it moved at constant velocity, then we have no idea what the value of the velocity is (since we are not given the coefficient of static friction) and therefore the answer is anywhere from “a flash instant” to a very boring long time”.
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Assuming there is no friction and also body start from rest and acted upon by a force of 6 N so it will do motion in one direction. Since velocity and acceleration both are positive so we can say that displacement will be equal to distance.
acceleration of body =6/1 (m/s2)
acc. of body will be 6m/s2.
since body is initially at rest so initial velocity is zero.
distance, S= u*t+1/2(a*t*t) ; as distance is given =12 m
{ u= intial velocity, t=time taken}
12=0*t+1/2(6*t*t);
12=3*t*t;
4=t*t >>>>> t=+/- 2, since time is positive so answer is 2 s.
Time taken by body to move a distance of 12 m is 2 seconds
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