A stone is dropped from a 80m bridge. How long does it take to fall?

The maximum displacement of an oscillatory motion is A=0.49m. Determine the position x at which the kinetic energy of the partic

Tatiana [17]

Answer:

The position x, is ± 0.4 m.

Explanation:

The total mechanical energy of the oscillatory motion is given as;

$E_T = U +K.E\\\\E_T = \frac{1}{2} kA^2\\\\ \frac{1}{2} kA^2 = U +K.E\\\\K.E = \frac{1}{2} kA^2 - U ----equation(1)$

When the kinetic energy (E) is half of the elastic potential energy (U);

$K.E = \frac{U}{2} ----equation(2)$

Equate (1) and (2)

$\frac{U}{2} = \frac{1}{2} kA^2 - U\\\\U = kA^2 -2U\\\\U+2U = kA^2\\\\3 U = kA^2\\\\3(\frac{1}{2} kx^2) = kA^2\\\\\frac{3}{2} x^2=A^2\\\\x^2 = \frac{2}{3} A^2\\\\x = \sqrt{\frac{2}{3} A^2} \\\\x = A\sqrt{\frac{2}{3} } \\\\x = 0.49\sqrt{\frac{2}{3} }\\\\x = + /- (0.4 \ m)$

Thus, the position x, is ± 0.4 m.

8 0

3 years ago

What must be true of a force that causes an object to move in a circular motion?

Dmitriy789 [7]

C. It acts perpendicular to the velocity and it's directed towards the center

hope this helps :)

4 0

4 years ago

Read 2 more answers

When is a secondary source more helpful than a primary source?

UNO [17]

Answer:

I think the answer is C.

Explanation:

A primary source is a first hand account of an event while a secondary source is a retelling or second hand account meaning as many details will be prevalent.

8 0

2 years ago

Masses in the universe curve space-time. What does the resulting shape of space-time cause?

swat32

I think the answer is D: gravity

7 0

3 years ago

a hot pot of water is set on the counter to cool. after a few minutes it has lost 755 j of heat energy. how much heat energy has

velikii [3]

The heat energy the surrounding air gained is 755 j.

Energy is a quantitative property given to a body or physical system and can be identified as work being done in the form of heat and light. Energy is Conserved - The law of conservation of energy states that energy can be transformed into form, but cannot be created or destroyed. Energy is the ability to do work. It can exist in electrical, kinetic, thermal, electrical, chemical, nuclear, or other forms.

Concept:-

Since the energy is always conserved, the energy lost by the hot water is gained bt the surrounding

- energy lost = + energy gained by the surrounding

- 755 j = + 755 j

Energy exists in many forms. Examples include light energy, thermal energy, mechanical energy, gravitational energy, electrical energy, acoustic energy, chemical energy, and nuclear or atomic energy. Each form can be transformed or changed into other forms.

Learn more about energy here:-brainly.com/question/13881533

#SPJ1

5 0

1 year ago