Answer:
5.87 m, 75.5°
Explanation:
Let's say C is the resultant vector.
The x component is the sum of the x components of A and B.
Cx = Ax + Bx
Cx = 10.1 cos 60° + 7.3 cos 275°
Cx = 5.69
The y component is the sum of the y components of A and B.
Cy = Ay + By
Cy = 10.1 sin 60° + 7.3 sin 275°
Cy = 1.47
The magnitude is found with Pythagorean theorem, and the angle is found with trigonometry.
C² = Cx² + Cy²
C² = 5.69² + 1.47²
C = 5.87
θ = atan(Cy / Cx)
θ = atan(5.69 / 1.47)
θ = 75.5°
Answer: W = 3500 J
Explanation: Work is the product of the amount of force and the perpendicular distance or W = Fd.
W = Fd
= 1400 N ( 2.5 m )
= 3500 J
Answer:
Force = 1400N
Displacement = 2.5 m
work done = F×D
=1400×2.5
= 3500 joule
The amount of potential energy of a 5.0-kilogram book that is moved to three different shelves on a bookcase would be 49 Joules ,73.5 Joules, and 98 Joules respectively.
Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.
Similarly, the total potential energy of the crane lift would be
PE = m*g*h
The potential energy of the book at 1.0 m is (5x9.8x1)= 49 Joules
The potential energy of the book at 1.5 m is (5x9.8x1.5) =73.5 Joules
The potential energy of the book at 2.0 m is (5x9.8x2)=98 Joules
Thus, the amount of potential energy of a 5.0-kilogram book that is moved to three different shelves on a bookcase would be 49 Joules,73.5 Joules, and 98 Joules respectively.
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