Interest rate= 0.083%
Step-by-step explanation:
Principal= $5000 Amount= $10000 Time period= 12 years
A=Amount, P= Principal, I= Simple Interest r= Rate of interest t= Time period
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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To solve this, we must isolate x (have it by itself).
4/5x = 56
Multiply each side by 5x.
4/5x(5x) = 56(5x)
Divide each side by 280.
4/280 = 280x/280
Solve.
0.014 = x
0.014 can also be written as 1/70
:)
Answer:
21
Step-by-step explanation:
21+-23= -2
so the answer is "21"