(a) The principle of work and energy is given as: T1 +2 U1-2 = T2 Explain what are T, , £ U1-2 and T2. What are the scalar characteristics of the T,, E U1-2 and T2?

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Q: Scalar or dot product of vectors 9i + 6j + - 4k and 1i + 3j + 0k?

A: Solution: given that A = 9i + 6j + - 4k  B = 1i + 3j + 0k to find the dot product

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A: Given data- The expression for the Newton's law of universal gravitation is given by F=GMmr2 where M…

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A: Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a length…

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Q: 6.20. Free vibrations of the system of Fig. P6.1 are initiated by moving the block of mass 3m a…

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Q: Suppose that 2 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: In this problem, the friction is equal to zero. Vector A along the positive X axis = 14.0…

A: The given vectors are:

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A: (a) The spring constant can be written as E=12kx2k=2Ex2k=25 J10×10-2cm2k=1000 N/m…

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A: Work done by boy = Change in potential energy  Potential energy at some height H = E  = MgH Where M…

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Q: Now, solve the equation for w in inverse-seconds or radians/sec. (Remember: a radian equals one.) As…

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Q: Scalar or dot product of vectors 2 i+-6j+ -3 k and -2 i+-4j+-8 k is:

A: A→ = 2i^ - 6j^ - 3k^B→ = -2i^ - 4j^ - 8k^

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A: Given, velocity ,v = 24t2-76t-129 where v is in feet per second and t is in seconds. acceleration =…

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Q: If work is a scalar quantity, how would explain the negative work done

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Q: (c) Use both methods to calculate ā · b for each of the following cases: (i) if ā = (-4, –9) and b=…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length…

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Q: One vector has magnitude 18 units and another 5.5 units. Find their scalar product if the angle…

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Q: Calculate the dot product:          A ∙ B,  given that vectors A = 3i + 6j a nd B = 4i – 4j

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Q: yA 60° А 3D 10.0 30° 30° 53° D = 20.0 37° 10 С %3D 12.0 F = 20.0 В 3 5.0

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Q: If A=- 2i+2j and B = -i+3j-2 k, find the scalar product of the vectors A and (-2A + 3B}?

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Q: What is the dot product A•B if A = 2x - 3y and B = 15x + 10y?

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Q: magnitude

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