This state of motionlessness occurs because all of the kinetic energy in the car is absorbed by the spring in the form of elastic potential energy. The mathematical representation is:
1/2 mv² = 1/2 kx²
25m = kx², where m is the mass of the cart, k is the spring constant and x is the spring's extension.
Answer:
l= 4 mi : width of the park
w= 1 mi : length of the park
Explanation:
Formula to find the area of the rectangle:
A= w*l Formula(1)
Where,
A is the area of the rectangle in mi²
w is the width of the rectangle in mi
l is the width of the rectangle in mi
Known data
A = 4 mi²
l = (w+3)mi Equation (1)
Problem development
We replace the data in the formula (1)
A= w*l
4 = w* (w+3)
4= w²+3w
w²+3w-4= 0
We factor the equation:
We look for two numbers whose sum is 3 and whose multiplication is -4
(w-1)(w+4) = 0 Equation (2)
The values of w for which the equation (2) is zero are:
w = 1 and w = -4
We take the positive value w = 1 because w is a dimension and cannot be negative.
w = 1 mi :width of the park
We replace w = 1 mi in the equation (1) to calculate the length of the park:
l= (w+3) mi
l= ( 1+3) mi
l= 4 mi
74.07532 ounces are equivelant to 2100 grams
Answer:
17.55 m/s
Explanation:
The number of times a wave will pass through a particular point is called frequency so, here the frequency is 3 Hz = f
The distance which is measured between two troughs or crests in a wave is called wavelength so, here the wavelength is 5.85 m = 
Velocity is given by
The propagation speed of the waves is 17.55 m/s
You could google it... but here are some facts anyway:
1. cytoplasm is about 80% water but also contains dissolved carbs, proteins and fats.
2. the nucleus has its own type of cytoplasm that is slightly different than that of the rest of the cell. it is called nucleoplasm.
3. when cytoplasm is in a watery state, it is called cytosol and when it's more jelly-like, it is called cytogel
4. in an animal cell, cytoplasm gives the cell its shape.
5. cytoplasm is a good conductor of electricity.
