Question

700J of energy is used by a person to move a distance of 10m. What is the force exerted by the person as they walk the distance?

Answer 1

Correct Question :-

▪ 700J of energy is used by a person to move a distance of 10 m. What is the force exerted by the person as he walked the distance?

Solution :-

We are given the energy consumed and the distance he walked. But it is clear in the question that the force exerted by him is constant.

We have,

• Energy consumed = 700 J
• Distance (Displacement) = 10 m

We know work done is also a type of energy which tells the energy consumed by anything in order to move a distance, We know

⇒ Work done = Force × Displacement

⇒ 700 = F × 10

⇒ F = 70 newton

Hence, The force exerted by the person as walked the distance is 70 newton.

Some Information :-

• Displacement is the shortest path length between final and initial position. it is a vector quantity, so it has both magnitude and direction.

• Power is the ability of a body to work. or simply, work done per unit time.

• Distance is a scalar quantity and is the total path length. it can't be negative.

Answer 2

Given:

• Energy used = 700 J
• Distance covered = Displacement (here) = 10m

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Need to Find:

• Force exerted =?

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Solution:

Work is a form of energy. Work is closely related to energy. The work-energy principle states that change in the kinetic energy of a rigid body is caused by an equal amount of work done on the body by the resultant force acting on that body.

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So we can say here Work done =700J

We know,

$work \: done \: = \: force \: \times displacement$

$\implies \: 700J \: = Force \times 10m$

$\implies \: Force \: = \dfrac{700}{10} N$

$\red{\bold{\implies \: Force = 70N}}$