Substitute the value 26.7 (or the exact value of 80/3) for x in the first of the original equation (x + y = 40) to find the valu
e of y. Once you have found the value of y using the first of the original equation, you can substitute this value of y and the value of x (26.7) into the second of the original equation (0.75x + 1.5y = 40) to check your work. If the values that you find on the two sides of the equal sign are not equal, then you must recheck your work.
1 answer:
Complete Question
The complete question is shown on the first uploaded image
Answer:
the value of
Explanation:
From the question we are told that
The equation is (x + y = 40)
The first value of x is
The second equation is (0.75x + 1.5y = 40)
So substituting
=>
Now substituting y and into second equation
=>
So
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Answer:
a) 1.89 m/s b) 172.1 N
Explanation:
a)
- Applying the work-energy theorem, if we can neglect the friction between truck and road, the total change in kinetic energy must be equal to the work done by the external forces.
- This work, is just 4,475 J.
- So we can write the following equation:
- where m= mass of the truck = 2.5*10³ kg.
- So, we can find the speed v, as follows:
b)
- The work done by the man, is just the horizontal force applied, times the displacement produced by the force horizontally:
- We can solve for F, as follows:
The spring constant is 181.0 N/m
Explanation:
We can solve the problem by applying the law of conservation of energy. In fact, the elastic potential energy initially stored in the compressed spring is completely converted into gravitational potential energy of the dart when the dart is at its maximum height. Therefore, we can write:
where the term on the left represents the elastic potential energy of the spring while the term on the right is the gravitational potential energy of the dart at maximum height, and where
k is the spring constant of the spring
x = 2.08 cm = 0.0208 m is the compression of the spring
m = 12.3 g = 0.00123 kg is the mass of the dart
is the acceleration due to gravity
h = 3.25 m is the maximum height of the dart
Solving for k, we find:
Learn more about potential energy:
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