Johnny stretches a spring 40 cm from its resting position. The spring’s constant of proportionality is 20 N/m. What is the sprin
1 answer:
The spring potential energy is 1.6 J
Explanation:
The elastic potential energy of a spring is given by the equation:
where
U is the potential energy
k is the spring constant
x is the compression/stretching of the spring
For the spring in this problem, we have:
x = 40 cm = 0.40 m is the stretching
k = 20 N/m is the spring constant
Substituting into the equation, we can find the spring potential energy:
#LearnwithBrainly
You might be interested in
Answer:
34.3 m/s
Explanation:
Newton's Second Law states that the resultant of the forces acting on the car is equal to the product between the mass of the car, m, and the centripetal acceleration (because the car is moving of circular motion). So at the top of the hill the equation of the forces is:
where
(mg) is the weight of the car (downward), with m being the car's mass and g=9.8 m/s^2 is the acceleration due to gravity
R is the normal reaction exerted by the road on the car (upward, so with negative sign)
v is the speed of the car
r = 0.120 km = 120 m is the radius of the curve
The problem is asking for the speed that the car would have when it tires just barely lose contact with the road: this means requiring that the normal reaction is zero, R=0. Substituting into the equation and solving for v, we find:
The number of grams of gold you can purchase for $15 if Gold cost $8.00 per ounce is 53.26g
Dimensional analysis is a means of representing values using units.
From the question, we are told that Gold cost $8.00 per ounce, this means that:
$8.00 = 1 ounce
In order to calculate the amount in grams you can purchase for $15, we need to know the price in ounces first.
$15.00 = x
Divide both expressions
Next is to convert the ounces to pounds.
1 pound = 16 ounces
y = 1.875 ounces
y = 1.875/16
y = 0.1171875 pounds
Conver 0.1171875 pounds to kg
Since 1kg = 2.2 pounds
z = 0.1171875 pounds
2.2z = 0.1171875
z = 0.1171875/2.2
z = 0.053267kg
Finally, convert 0.053267kg to grams using the conversion rate
1kg = 1000g
0.053267kg = y
y = 0.05326 * 1000
y = 53.26g
This shows that the amount of grams you can purchase for $15 is 53.26g
Learn more here: brainly.com/question/11819069
1) The area of a circle is given by
where r is the radius of the circle. In this problem, we are told that the area is
so we can rearrange the previous equation to calculate the radius:
And now we can find the circumference, by using the formula:
Therefore, the correct answer is D. 75.3984 meters.
2) The volume of a cube is given by:
where L is the length of the edge. In this problem, L=6 cm, therefore the volume of the cube is
and so, the correct answer is A. 216 cu. cm.
Answer:
the spring constant k =
the value for the damping constant
Explanation:
From Hooke's Law
Thus; the spring constant k =
The amplitude is decreasing 37% during one period of the motion
Therefore; the value for the damping constant