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PHXI05:LAWS OF MOTION

363476 When the speed of a moving body is doubled

1 Its acceleration is doubled

2 Its momentum is doubled

3 Its kinetic energy is doubled

4 Its potential energy is doubled

PHXI05:LAWS OF MOTION

363477 A spherical body of mass $100 g$ is dropped from a height of $10 m$ from the ground. After hitting the ground, the body rebounds to a height of $5 m$ . The impulse of force imparted by the ground to the body is given by (given $g = 9.8 m / s^{2}$ )

1

4.32 k g m s^{- 1}

2

43.2 k g m s^{- 1}

3

2.39 k g m s^{- 1}

4

23.9 k g m s^{- 1}

Explanation:

$v_{1} = \sqrt{2 g h}$ but downward
$v_{1} = - \sqrt{2 g h_{1}} = \sqrt{2 \times 9.8 \times 10} = - 14 m / s$
$v_{2} = \sqrt{2 g h_{2}}$ upward
$v_{2} = + \sqrt{2 \times 9.8 \times 5} = 9.9 m / s$
$m = 100 g = 0.1 k g$
Impulse $J = m (v_{2} - v_{1})$
$= 0.1 (9.9 - (- 14)) = 2.39 k g m / s$

JEE - 2024

PHXI05:LAWS OF MOTION

363478 When a ball of mass $= 5 k g$ hits a bat with a velocity $= 3 m / s$ in positive direction and it moves back with a velocity $= 4 m / s$ , find the impulse in SI units

1

5

2

15

3

25

4

35

Explanation:

Impulse $=$ change in linear momentum
$= p_{r} - p_{i}$
$= - 5 \times 4 - 5 \times 3$
$= - 35 N - s$
$∴$ Magnitude of impulse in SI units $= 35$

PHXI05:LAWS OF MOTION

363479 Assertion :
Impulsive force is large and acts for a short time.
Reason :
Finite change in momentum should be produced by the force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Impulse $= F (Δ t) = Δ p$
An impulsive force is indeed large and acts for a short time. The reason correctly explains that a finite change in momentum should be produced by the force.
So correct option is (1)

PHXI05:LAWS OF MOTION

363476 When the speed of a moving body is doubled

1 Its acceleration is doubled

2 Its momentum is doubled

3 Its kinetic energy is doubled

4 Its potential energy is doubled

PHXI05:LAWS OF MOTION

363477 A spherical body of mass $100 g$ is dropped from a height of $10 m$ from the ground. After hitting the ground, the body rebounds to a height of $5 m$ . The impulse of force imparted by the ground to the body is given by (given $g = 9.8 m / s^{2}$ )

1

4.32 k g m s^{- 1}

2

43.2 k g m s^{- 1}

3

2.39 k g m s^{- 1}

4

23.9 k g m s^{- 1}

Explanation:

$v_{1} = \sqrt{2 g h}$ but downward
$v_{1} = - \sqrt{2 g h_{1}} = \sqrt{2 \times 9.8 \times 10} = - 14 m / s$
$v_{2} = \sqrt{2 g h_{2}}$ upward
$v_{2} = + \sqrt{2 \times 9.8 \times 5} = 9.9 m / s$
$m = 100 g = 0.1 k g$
Impulse $J = m (v_{2} - v_{1})$
$= 0.1 (9.9 - (- 14)) = 2.39 k g m / s$

JEE - 2024

PHXI05:LAWS OF MOTION

363478 When a ball of mass $= 5 k g$ hits a bat with a velocity $= 3 m / s$ in positive direction and it moves back with a velocity $= 4 m / s$ , find the impulse in SI units

1

5

2

15

3

25

4

35

Explanation:

Impulse $=$ change in linear momentum
$= p_{r} - p_{i}$
$= - 5 \times 4 - 5 \times 3$
$= - 35 N - s$
$∴$ Magnitude of impulse in SI units $= 35$

PHXI05:LAWS OF MOTION

363479 Assertion :
Impulsive force is large and acts for a short time.
Reason :
Finite change in momentum should be produced by the force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Impulse $= F (Δ t) = Δ p$
An impulsive force is indeed large and acts for a short time. The reason correctly explains that a finite change in momentum should be produced by the force.
So correct option is (1)

PHXI05:LAWS OF MOTION

363476 When the speed of a moving body is doubled

1 Its acceleration is doubled

2 Its momentum is doubled

3 Its kinetic energy is doubled

4 Its potential energy is doubled

PHXI05:LAWS OF MOTION

363477 A spherical body of mass $100 g$ is dropped from a height of $10 m$ from the ground. After hitting the ground, the body rebounds to a height of $5 m$ . The impulse of force imparted by the ground to the body is given by (given $g = 9.8 m / s^{2}$ )

1

4.32 k g m s^{- 1}

2

43.2 k g m s^{- 1}

3

2.39 k g m s^{- 1}

4

23.9 k g m s^{- 1}

Explanation:

$v_{1} = \sqrt{2 g h}$ but downward
$v_{1} = - \sqrt{2 g h_{1}} = \sqrt{2 \times 9.8 \times 10} = - 14 m / s$
$v_{2} = \sqrt{2 g h_{2}}$ upward
$v_{2} = + \sqrt{2 \times 9.8 \times 5} = 9.9 m / s$
$m = 100 g = 0.1 k g$
Impulse $J = m (v_{2} - v_{1})$
$= 0.1 (9.9 - (- 14)) = 2.39 k g m / s$

JEE - 2024

PHXI05:LAWS OF MOTION

363478 When a ball of mass $= 5 k g$ hits a bat with a velocity $= 3 m / s$ in positive direction and it moves back with a velocity $= 4 m / s$ , find the impulse in SI units

1

5

2

15

3

25

4

35

Explanation:

Impulse $=$ change in linear momentum
$= p_{r} - p_{i}$
$= - 5 \times 4 - 5 \times 3$
$= - 35 N - s$
$∴$ Magnitude of impulse in SI units $= 35$

PHXI05:LAWS OF MOTION

363479 Assertion :
Impulsive force is large and acts for a short time.
Reason :
Finite change in momentum should be produced by the force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Impulse $= F (Δ t) = Δ p$
An impulsive force is indeed large and acts for a short time. The reason correctly explains that a finite change in momentum should be produced by the force.
So correct option is (1)

PHXI05:LAWS OF MOTION

363476 When the speed of a moving body is doubled

1 Its acceleration is doubled

2 Its momentum is doubled

3 Its kinetic energy is doubled

4 Its potential energy is doubled

PHXI05:LAWS OF MOTION

363477 A spherical body of mass $100 g$ is dropped from a height of $10 m$ from the ground. After hitting the ground, the body rebounds to a height of $5 m$ . The impulse of force imparted by the ground to the body is given by (given $g = 9.8 m / s^{2}$ )

1

4.32 k g m s^{- 1}

2

43.2 k g m s^{- 1}

3

2.39 k g m s^{- 1}

4

23.9 k g m s^{- 1}

Explanation:

$v_{1} = \sqrt{2 g h}$ but downward
$v_{1} = - \sqrt{2 g h_{1}} = \sqrt{2 \times 9.8 \times 10} = - 14 m / s$
$v_{2} = \sqrt{2 g h_{2}}$ upward
$v_{2} = + \sqrt{2 \times 9.8 \times 5} = 9.9 m / s$
$m = 100 g = 0.1 k g$
Impulse $J = m (v_{2} - v_{1})$
$= 0.1 (9.9 - (- 14)) = 2.39 k g m / s$

JEE - 2024

PHXI05:LAWS OF MOTION

363478 When a ball of mass $= 5 k g$ hits a bat with a velocity $= 3 m / s$ in positive direction and it moves back with a velocity $= 4 m / s$ , find the impulse in SI units

1

5

2

15

3

25

4

35

Explanation:

Impulse $=$ change in linear momentum
$= p_{r} - p_{i}$
$= - 5 \times 4 - 5 \times 3$
$= - 35 N - s$
$∴$ Magnitude of impulse in SI units $= 35$

PHXI05:LAWS OF MOTION

363479 Assertion :
Impulsive force is large and acts for a short time.
Reason :
Finite change in momentum should be produced by the force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Impulse $= F (Δ t) = Δ p$
An impulsive force is indeed large and acts for a short time. The reason correctly explains that a finite change in momentum should be produced by the force.
So correct option is (1)