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The gravitational force between two electrons that are 1.65 km apart is \( 5.54 \times 10^{\wedge}-71 \) N. Find the mass of the electron. (5pts)
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02. Sejam três resistores de resistências \( 2 \Omega, 3 \Omega \) e \( 1 \Omega \), ligadas em série e alimentadas por uma bateria de 12 V . Calcule: a) a resistência equivalente do circuito. b) a corrente no circuito. c) a ddp em cada resistor.
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Q. 8 An object has a position given by \( x=1.24 \mathrm{~m} / \mathrm{s} \mathrm{t}^{4} \). What is the is the acceleration of the particle? Q. 9 (a) State Newton's Laws of Motion (b) A car is travelling with velocity of \( 10.2 \mathrm{~m} / \mathrm{s} \) and acceleration at \( 1.68 \mathrm{~m} / \mathrm{s}^{2} \) in the direction it is travelling. How long does it take to travel 389 m ?
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Q. 8 An object has a position given by \( x=1.24 \mathrm{~m} / \mathrm{s} \mathrm{t}^{4} \). What is the is the acceleration of the particle? Q. 9 (a) State Newton's Laws of Motion (b) A car is travelling with velocity of \( 10.2 \mathrm{~m} / \mathrm{s} \) and acceleration at \( 1.68 \mathrm{~m} / \mathrm{s}^{2} \) in the direction it is travelling. How long does it take to travel 389 m ?
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Prove that \( \vec{V}=V_{x} \hat{\mathbf{i}}+V_{y} \hat{\mathbf{j}} \mid+\vec{V}_{z} \mathbf{k} \)
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Q. 2 A gas has a temperature gradient such that the relationship between pressure and density is given by the relationship: \( \rho=\mathrm{c} \mathrm{P}^{2} \) in such a gas with a uniform H is \( \mathrm{P}_{\mathrm{o}} \) and the density at the top temperature, the pressure at the top of a column of height of the column is \( \rho_{0} \). What are the: (i) Pressure, and (ii) Density at the bottom of this column?
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(E) A motorcyclist \( M \) leaves a road junction at time \( t=0 \). She accelerates from rest at a rate of \( 3 \mathrm{~ms}^{-2} \) for 8 s and then maintains the velocity she has reached. A car \( C \) leaves the same mad junction as \( M \) at time \( t=0 \). The car accelerates from rest to \( 30 \mathrm{~ms}^{-1} \) in 20 sand them maintains the velocity of \( 30 \mathrm{~ms}^{-1} \). C passes \( M \) as they both pass a pedestrian. a On the same diagram, sketch speed-time graphs to illustrate. the motion of \( M \) and \( C \).
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An astronaut has a mass of 70 kg on Earth. What is the relationship between the mass and the weight of the astronaut on the moon? A The mass and the weight will both remain the same. B The mass and the weight will both become less. C The mass will be the same and the weight will be less. D The mass will be less and the weight will be the same.
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Q. 2 A gas has a temperature gradient such that the relationship between pressure and density is given by the relationship: \( \rho=c P^{2} \) in such a gas with a uniform \( H \) is \( P_{o} \) and the density at the top temperature, the pressure at the top of a column of height of the column is \( \rho_{0} \). What are the: (i) Pressure, and (ii) Density at the bottom of this column?
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Q. 6 If \( \mathrm{A}=2 \mathrm{i}-3 \mathrm{j}+4 \mathrm{k} \) and \( \mathrm{B}=\mathrm{i}+2 \mathrm{j}+5 \mathrm{k} \), \( \quad \) (i) Evaluate AB Q. 7 (a) Differentiate between Instantancous Velocity and Instantaneous Accelcration (b) The position of an objeet is given as \( \mathrm{x}=2.3 \mathrm{~m}+1.4 \mathrm{~m} / \mathrm{s} \mathrm{t}+0.65 \mathrm{~m} / \mathrm{s} \mathrm{t}^{3} \). Calculate the velocity as a
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