The radioactive element 2,6°Co has a half life of years. If you had a sample of 17 g, about how long would it take until you only had 6% left?
Q: A car has mass 600 kg and velocity 100 m/s. Then what will be its momentum
A: Given: mass m = 600 kg. Velocity v = 100 ms To determine: Momentum P Formula used: P = mv Momentum…
Q: (a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is…
A: Gravitational potential energy is the energy possessed by an object when its position changes, when…
Q: d) For the vectors A=2.00 î - 4.00 ĵ - 3.00 k and B = 5.00 ĵ - 4.00 k find the vector product À X B
A: Write the given values with suitable variables. A→=2i^-4j^-3k^B→=5j^-4k^
Q: A weight of 300.0 kg is pulled from the water by the setup consisting due to gravity g = 9.8 m/s.…
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Q: M = -31 + 6j – 5k and N = -21 + 3j +k N is: The magnitude of vector А) 3.74 (в) 8.37 C 70 14 E) No…
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Q: (i) Find the displacement vector AB. (ii) Using dot product, find the angle that the displacement…
A: position vector ofA→=-6 x^+9 y^+6 z^B→=9 x^-7 y^+7 z^(i)AB→=B→-A→ =9 x^-7 y^+7 z^--6 x^+9 y^+6…
Q: The scalar product of two vectors, A and B, is –7.5. If vector A is given by (3i - 4j) and the…
A: Given : Scalar product (A . B) = -7.5 Magnitude of Vector B ( |B| ) = 4.0 Finding the Magnitude of…
Q: An electric fan has blades of length 30cm as measured form the axis of rotation. If the fan is…
A: An electric fan, Length of tip from center, R = 0.30 m Rotation of fan = 1220 rpm Centripetal…
Q: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…
A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^
Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…
A: a)Resolve vector A into respective x and y components as,
Q: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).
A: The difference vector between the two vectors is,
Q: Given M = 3 î + j - 3 k and N = 5 î – 4 j – 4 k, calculate the vector product M x N.
A: As per bartleby guidelines, i have solved first question posted by you out of multiple questions. If…
Q: Consider the vectors shown above. What is the cross product ? -180 m2 k 144 m2 k 103 m2 -103 m2 k…
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Q: is the
A: a)
Q: Two vectors live with their tail at the same point. When the angle between them is increased by 20…
A: The scalar product between two vectors can be expressed as
Q: (b) Given, r, = 5i + 12j-8k, r, 6i-9j + 9k and r, = 4i + 3j + 7k. Find the magnitudes of 3r, + 4r,-…
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Q: Use the definition of scalar product, ?→⋅?→�→⋅�→ = ab cos θ, and the fact that ?→⋅?→�→⋅�→ = axbx +…
A: The objective of the question is to calculate the angle between two vectors using the definition of…
Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 9i – 7j,V = 12i –…
A: Solution:-Given thatU→=9i^-7j^V→=12i^-2j^
Q: Find the angle between the vectors u = 5i - 9j and v = /5i+j- 3k. The angle between the vectors is…
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Q: b) Convert the vector A= - ax at P(0,2,0) to cylinderical coordinat system.
A: The cylindrical coordinate system (r,φ,z) is shown below: The transformation between cylindrical…
Q: 12. Express in cartesian components: (a) the vector G'extending from the origin to the mid- point of…
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Q: number 4
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Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…
A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…
Q: 31P. Use the definition of scalar product, ā · b = ab cos 0, and the fact that a · b = a,b, + a,b, +…
A: Given data The definition of the scalar product is given as a→·b→=abcosθ. The vector equation of a…
Q: Given the following forces in vector notations: F1 = 2i – 5j + 3k F2 = 3i + 4j – 2k Find (a) the dot…
A: Solution: (a). The dot product of the two vectors is given by: F→1.F→2=2i-5j+3k.3i+4j-2k…
Q: Here are two vectors: A = 4.0i + 3.0 - 2.0k, B = -5.01 +3.0 +2.0k. What is 3B. (2Ã × B)? 19 00 O-14…
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Q: Determine the y-component of unit vector parallel to the sum of vectors (-4.1)i + (5.9)j + (-7.9)k…
A: Given: The vectors are (-4.1)i + (5.9)j + (-7.9)k and (8.3)i + (-8.4)j + (4.4)k.
Q: Find the angle between the vectors u = -i- 5j and v = 4i + 6j – 4k. The angle between the vectors is…
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Q: two boys searching for buried treasure are standing underneath the same tree. One boy walks 18 m…
A: Given: The displacement of the first boy is 18 m west and 18 m north. The displacement of the second…
Q: There are 6 vectors: a, b, c, d, e, f. Simply the following expression: [ a(b . c) X (e . f)d ] X […
A: Given: There are 6 vectors: a, b, c, d, e, f. ‘X’ represents cross-product while ’.‘ represents dot…
Q: Angular momentum is conserved when: O No answer text provided. O the external torque is greater than…
A: Torque: The actual rate of change of the system's total angular momentum L is equal to the net…
Q: 12-199. Determine the speed of the elevator if each motor draws in the cable with a constant speed…
A: To determine,The speed of the elevator if each motor draws in the cable with a constant speed of5…
Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…
A: Given that: The vector a is a=i+8j+4k The vector b is b=7i-6j-6k It is required here to calculate…
Q: Find the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the…
A: Let A,B are vectors A= 5i + 6j + k B= -3i + 4j - 8k
Q: A blue color glass optical filter is 2.0 mm thick plate which absorb 99% of the red light intensity…
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Q: A rotating fan completes 1200 revolutions every minute. Consider a point on the tip of a blade, at a…
A: Given data The number of revolutions is n=1200 The radius is r=0.15 m (a) The distance does the…
Q: These are the component forms of vectors u and w: ū u = (1, 1) w = (2, 4) Subtract the vectors. ū -…
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Q: A = +10.0u î + 28.0u k B = -22.0u î+ 15.0u j+32.0u k Find the cross product, A x B.
A: Given A=+10.0u i^+0.00u j^ + 28.0u k^B=-22.0u i^+15.0u j^ + 32.0u k^
Q: given the position vectors r=(3,2,1) and r=(2,4,3), (a) Find a unit vector parallel to the resultant…
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