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Find dy/dx by implicit differentiation
tan(x-y)=y/1+x^2
Bookmark Maker
In this assignment, let's build a Bookmark Maker by applying the concepts we learned till now.
If demand became zero with a slight rise in the price , what would you call such a demand?
If you have 3.5 moles of hydrogen and 5 moles of nitrogen to produce ammonia, how much nitrogen is used up?
Write an assembly program using MARIE's assembly Instruction set that prompts
the user to enter a non-negative integer that is less than 10. The program should
include a subroutine that keeps prompting until a valid value is obtained. When a
valid number is entered, it will be displayed. (Hint: Use JNS & JUMPI instructions
to implement the subroutine)
N.B: You should include the MARIE code in your Answer, with an
explanation of each instruction in your code beside it (not a screenshot!)
A child throws a 0.50 kg snowball at his friend at 12.0 m/s but the snowball lands on the ground in front of his friend.
The snowball is 1.3 m above the ground when it leaves the child’s hand.
(a) What is the (i) kinetic energy & (ii) potential energy of the snowball at the time of release?
(b) What is the total energy of the snowball (i) at the time of release & (ii) just before it hits the ground?
(c) What is the snowball’s kinetic energy just before it hits the ground in front of his friend?
(d) How fast is the snowball moving just before it hits the ground in front of his friend?
A toboggan carrying two children (total mass = 85 kg) reaches its maximum speed at the bottom of a hill, and then glides to a stop in 21 m along a horizontal surface.The coefficient of kinetic friction between the toboggan and the snowy surface is 0.11.
(a) Draw a FBD of the toboggan as it slows down, and calculate the magnitude of ALL the forces in the diagram.
(b) Calculate the acceleration of the toboggan.
(c) Calculate the work done on the toboggan by the friction on the snowy surface.Should the work be positive or negative?Explain.
10. A pulley system operated with an electric motor consumes 5.0 kJ of energy as it does 3.2 kJ of work in raising an object. The efficiency of this technology is:
(a) 64% (b) 84%
(c) 119% (d) 156%
8. Consider an object falling from a height of 300 m. If we ignore air resistance, its total energy:
(a) increases during the fall.
(b) decreases during the fall.
(c) remains constant during the fall.
(d) is zero at the start of the fall.
7. In which of the following is gravitational potential energy being transformed into kinetic energy?
(a) A car accelerating on a level road.
(b) A raindrop falling freely through the air.
(c) Water turning an electric turbine.
(d) A stone thrown up into the air.
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#340153 on Dec 2023