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A body of 1 quintal moves with a constan...

A body of 1 quintal moves with a constant velocity of 1000 m/s on a horizontal frictionless path. The force acting on the body is

A

zero

B

`100 xx 1000 N `

C

1000 N

D

100 N

Text Solution

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The correct Answer is:
To solve the problem, we need to determine the force acting on a body that is moving with a constant velocity. Here are the steps to arrive at the solution: ### Step 1: Understand the given information The problem states that a body of mass 1 quintal is moving with a constant velocity of 1000 m/s on a horizontal frictionless path. ### Step 2: Convert the mass into standard units 1 quintal is equivalent to 100 kg (since 1 quintal = 100 kg). ### Step 3: Identify the formula for force According to Newton's second law of motion, the force acting on an object is given by: \[ F = m \cdot a \] where: - \( F \) is the force, - \( m \) is the mass of the body, - \( a \) is the acceleration of the body. ### Step 4: Determine the acceleration Since the body is moving with a constant velocity, the acceleration \( a \) is zero. This is because acceleration is defined as the rate of change of velocity with respect to time: \[ a = \frac{dv}{dt} \] Since the velocity is constant (1000 m/s), there is no change in velocity, hence: \[ a = 0 \] ### Step 5: Calculate the force Now, substituting the values into the force equation: \[ F = m \cdot a = 100 \, \text{kg} \cdot 0 \, \text{m/s}^2 = 0 \, \text{N} \] ### Conclusion The force acting on the body is **0 N**.

To solve the problem, we need to determine the force acting on a body that is moving with a constant velocity. Here are the steps to arrive at the solution: ### Step 1: Understand the given information The problem states that a body of mass 1 quintal is moving with a constant velocity of 1000 m/s on a horizontal frictionless path. ### Step 2: Convert the mass into standard units 1 quintal is equivalent to 100 kg (since 1 quintal = 100 kg). ...
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Knowledge Check

  • A body of 1 quintal moves with a constant velocity of lOOOm/s on a horizontal frictionless path. The force acting on the body is

    A
    zero
    B
    `100 xx 1000 N`
    C
    1000 N
    D
    100 N
  • A body of 1 quintal moves with a constant velocity of lOOOm/s on a horizontal frictionless path. The force acting on the body is

    A
    zero
    B
    `100 xx 1000 N`
    C
    1000 N
    D
    100 N
  • A body of mass 40 gm is moving with a constant velocity of 2cm//sec on a horizontal frictionless table. The force on the table is

    A
    39200 dyne
    B
    160 dyne
    C
    80 dyne
    D
    Zero dyne
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