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If a force of F newton moves a body with constant speed v, the power delivered by it is
- a)F/v
- b)Fv
- c)F2v
- d)v/F
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If a force of F newton moves a body with constant speed v, the power d...
Given, Velocity=v & Force=F
We know that work done is equal to the product of force and displacement
W=F*d
Dividing by t on both sides then we get,
W/t = F*d/t
d/t = v ( Speed = Distance/ Time)
W/t = P (Power)
Therefore, P=F*v
We know that work done is equal to the product of force and displacement
W=F*d
Dividing by t on both sides then we get,
W/t = F*d/t
d/t = v ( Speed = Distance/ Time)
W/t = P (Power)
Therefore, P=F*v
Most Upvoted Answer
If a force of F newton moves a body with constant speed v, the power d...
Work = force× speed ...
so force=f
and speed = v
then power delivered ..= fv
so force=f
and speed = v
then power delivered ..= fv
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Community Answer
If a force of F newton moves a body with constant speed v, the power d...
The power delivered by a force can be calculated using the formula:
Power = Force x Velocity
In this case, the force (F) is given as the force that is moving a body with a constant speed (v). So we can substitute F for the given force and v for the constant speed in the power formula.
Let's break down the formula and understand it in detail:
1. The power formula: Power = Force x Velocity
2. Substituting the given values: Power = F x v
Now, let's analyze each option to find the correct answer:
a) F/v: This option suggests that power is equal to the force divided by velocity. However, this is incorrect because power is equal to the force multiplied by velocity, not divided.
b) Fv: This option suggests that power is equal to the force multiplied by velocity. This is the correct answer, as mentioned in the question. Power is directly proportional to both force and velocity, so multiplying them together gives us the correct value for power.
c) F^2v: This option suggests that power is equal to the force squared multiplied by velocity. However, this is incorrect because power is equal to the force multiplied by velocity, not the force squared.
d) v/F: This option suggests that power is equal to the velocity divided by force. However, this is incorrect because power is equal to the force multiplied by velocity, not divided.
Therefore, the correct answer is option 'b' - Fv, which states that the power delivered by the force is equal to the force multiplied by the velocity.
Power = Force x Velocity
In this case, the force (F) is given as the force that is moving a body with a constant speed (v). So we can substitute F for the given force and v for the constant speed in the power formula.
Let's break down the formula and understand it in detail:
1. The power formula: Power = Force x Velocity
2. Substituting the given values: Power = F x v
Now, let's analyze each option to find the correct answer:
a) F/v: This option suggests that power is equal to the force divided by velocity. However, this is incorrect because power is equal to the force multiplied by velocity, not divided.
b) Fv: This option suggests that power is equal to the force multiplied by velocity. This is the correct answer, as mentioned in the question. Power is directly proportional to both force and velocity, so multiplying them together gives us the correct value for power.
c) F^2v: This option suggests that power is equal to the force squared multiplied by velocity. However, this is incorrect because power is equal to the force multiplied by velocity, not the force squared.
d) v/F: This option suggests that power is equal to the velocity divided by force. However, this is incorrect because power is equal to the force multiplied by velocity, not divided.
Therefore, the correct answer is option 'b' - Fv, which states that the power delivered by the force is equal to the force multiplied by the velocity.
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