Answer: x = 9/4
Step-by-step explanation:
4x+12+2=23
4x+14 = 23
4x = 9
x = 9/4
Answer:
SAS
Step-by-step explanation:
As per the given diagram, the following facts are evident.
(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.
(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.
(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.
Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.
The object compresses the spring up to 0.8577m.
<h3>What is Potential Energy?</h3>
Potential Energy is the energy possessed by an object at rest.
The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.
The total amount of potential energy at the top of the ramp is given by
Ep=mgh
Ep=3 * 9.81 *5
Ep=147.15 Joules
This is equal to kinetic energy.
From the formula for elastic potential energy
The distance up to which the spring is compressed is determined
The force constant = 400N/m
147.15 =(1/2)k(x²)
294.3=(400)(x²)
0.73575=x²
x=0.8577 m
So, the object compresses the spring up to 0.8577m.
- When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.
To know more about Potential Energy
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Answer:
0.375 feet.
Step-by-step explanation:
Multiply .25 by 1.5 to get 0.375.
