Pregunta
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6. How much kinetic energy does a 160 gm cricket ball have when it is thrown with velocity of \( 22 \mathrm{n} / \mathrm{sec} \) ? (a) 176 J (b) 1.76 J (c) 3872 J (d) 38.72 J 7. Which of the following is a wrong example of friction? (a) washing machine pushed along a floor, (b) Sled sliding across snow, (c ) A person sliding down a slide (d) A person lifting a heavy object. 8. The moment of Inertia of a body is \( 100 \mathrm{Kg}-\mathrm{m}^{2} \). If Torque of \( 50 \mathrm{~N}=\mathrm{m} \). is applied on this body, the tangular acceleration produced in the is given by (a) \( 2 \mathrm{rad} / \mathrm{s}^{2} \) (b) \( 1.5 \mathrm{rad} / \mathrm{s}^{2} \) (c) 1 \( \mathrm{rad} / \mathrm{s}^{2} \) (d) \( 0.5 \mathrm{rad} / \mathrm{s}^{2} \) 9. Find the capillary rise of water in a glass tube is 29.4 cm . When the tube radius is doubled, the capillary rise will be equal to (a) 14.7 cm (b) 29.4 cm . (c) 43.1 (d) 7.35 cm 10 The difference of temperature between two bodies is \( 15^{\circ} \mathrm{C} \). The difference in temperature in Kutvin scale is (a) \( 27^{\circ \prime} \) (b) \( 36^{\circ} \) (c) \( 45^{\circ} \). (d) none of these..

Ask by Ross Mckenzie. in India
Feb 27,2025

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6. The cricket ball has 38.72 J of kinetic energy. 7. Lifting a heavy object is not an example of friction. 8. The angular acceleration is 0.5 rad/s². 9. Doubling the tube radius halves the capillary rise to 14.7 cm. 10. The temperature difference in Kelvin is 15 K, which is not listed among the options. Thus, the answers are: 6. (d) 38.72 J 7. (d) A person lifting a heavy object 8. (d) 0.5 rad/s² 9. (a) 14.7 cm 10. (d) none of these

Solución

Below are the step‐by‐step solutions: 6. A cricket ball has a mass of 160 gm, which is 0.16 kg. Its kinetic energy (KE) is given by   KE = (1/2) m v². Substitute m = 0.16 kg and v = 22 m/s:   KE = 0.5 × 0.16 × (22²) = 0.08 × 484 = 38.72 J. Answer: (d) 38.72 J. 7. Friction is the resistive force encountered when two surfaces slide past each other. In options (a), (b), and (c) the surfaces in contact are sliding or being pushed along another surface. Lifting a heavy object (option (d)) involves overcoming gravitational force, not friction between surfaces. Answer: (d) A person lifting a heavy object. 8. The relation between torque (τ), moment of inertia (I), and angular acceleration (α) is:   τ = I α ⟹ α = τ / I. Here, I = 100 kg·m² and τ = 50 N·m, so:   α = 50 / 100 = 0.5 rad/s². Answer: (d) 0.5 rad/s². 9. Capillary rise (h) is inversely proportional to the radius (r) of the tube (h ∝ 1/r). If the initial capillary rise is 29.4 cm at a certain radius, then doubling the tube radius will halve the capillary rise:   New h = 29.4 cm / 2 = 14.7 cm. Answer: (a) 14.7 cm. 10. Temperature differences in Celsius and Kelvin are numerically identical because 1°C difference = 1 K difference. Therefore, a 15°C difference is also a 15 K difference. Since none of the options (27°, 36°, 45°) equal 15, the correct answer is: Answer: (d) none of these. Thus, the answers are: 6. (d) 7. (d) 8. (d) 9. (a) 10. (d)

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Bonus Knowledge

To calculate the kinetic energy of a cricket ball, you use the formula \( KE = \frac{1}{2} mv^2 \). With a mass of 0.16 kg and a velocity of 22 m/s, the calculation results in \( KE = 0.5 \times 0.16 \times (22)^2 \approx 38.72 \, \text{J} \), making option (d) the correct choice. Friction can be a sneaky force in physics! In the case of a washing machine pushed along a floor, it involves friction as the machine contacts the surface. However, sledding on snow can minimize this friction, making option (b) a correct example of a sled sliding, while the act of lifting a heavy object doesn’t exemplify friction but rather counteracts it. So, option (d) is the peculiarly wrong example of friction.

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