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When a man walks on a horizontal surface...

When a man walks on a horizontal surface with constant velocity, work done by

A

Friction is zero

B

Contact force is zero

C

Gravity is zero

D

Man is zero

Text Solution

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The correct Answer is:
To solve the question regarding the work done by a man walking on a horizontal surface with constant velocity, we can follow these steps: ### Step 1: Understand the Work Done Formula The work done \( W \) by a force is given by the formula: \[ W = F \cdot D \cdot \cos(\theta) \] where: - \( F \) is the force applied, - \( D \) is the displacement, - \( \theta \) is the angle between the force and the direction of displacement. ### Step 2: Analyze the Situation In this scenario, the man is walking on a horizontal surface with a constant velocity. This implies that there is no net acceleration acting on him. According to Newton's first law, if an object is moving with constant velocity, the net force acting on it is zero. ### Step 3: Determine the Acceleration Since the man is walking with constant velocity: - Initial velocity \( u = v \) - Final velocity \( v = u \) - Therefore, acceleration \( a = \frac{v - u}{t} = \frac{u - u}{t} = 0 \) ### Step 4: Relate Force and Acceleration Using Newton's second law: \[ F = m \cdot a \] Since the acceleration \( a = 0 \), the force \( F \) acting on the man is also zero: \[ F = m \cdot 0 = 0 \] ### Step 5: Calculate Work Done Now, substituting the values into the work done formula: - Since \( F = 0 \), the work done \( W \) becomes: \[ W = 0 \cdot D \cdot \cos(\theta) = 0 \] ### Conclusion The work done by the man walking on a horizontal surface with constant velocity is zero. ### Final Answer The correct answer is that the work done by the man is **zero**. ---

To solve the question regarding the work done by a man walking on a horizontal surface with constant velocity, we can follow these steps: ### Step 1: Understand the Work Done Formula The work done \( W \) by a force is given by the formula: \[ W = F \cdot D \cdot \cos(\theta) \] where: ...
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The sign of work done by a force on a body is important to understand. State carefully if the following quantities are poisitve or negative : (a) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket. (b) Work done by gravitational force in the above case. (c ) Work done by friction on a body sliding down an iniclined plane. (d) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity. (e) Work done by the resistive force of air on a vibrating pendulum in bringing it to rest.

The sign of work done by a force is important to understant. State carefully if the following quantities are positive or negative. (a) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket. (b) Work done by the gravitational force in the above case. (c ) Work done by friction on a body sliding down an inclined plane. (d) Work done by an applied froce on a body moving on a rough horizontal plane with uniform velocity. (e ) Work done by the resistive force of air on a vibrating pendulum in bringing it to rest.

Knowledge Check

  • A force of magnitude 25 N directed at an angle of 37^(@) above the horizontal moves a 10-kg crate along a horiaontal surface at constant velocity . How much work is done by this force in moving the crate a distance of 15 m ?

    A
    0J
    B
    40J
    C
    300J
    D
    98J
  • When a person walks on a rough surface .

    A
    the frictional force exerted by the surface keeps him moving .
    B
    reaction of the force applied by the man on the surface keeps him moving
    C
    the force applied by the man keep him moving
    D
    weight of the man keeps him moving .
  • When a person walks on a rough surface

    A
    the frictional force exerted by the surface keeps him moving
    B
    reaction of the force applied by the man on the surface keeps him moving
    C
    the force applied by the man keep him moving
    D
    weight of the man keeps him moving
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