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3 years ago

Which two formulas are used to calculate potential and kinetic energy

Physics

2 answers:

goblinko [34]3 years ago

6 0

Answer:

gravitational potential energy:

GPE = m g h

kinetic energy:

KE = 1/2 m v^2

kogti [31]3 years ago

3 0

Answer:

$\boxed{\bold { \large { \boxed {KE=\frac{1}{2} mv^2 \ , \ PE=mgh}}}}$

Explanation:

Kinetic energy formula

$\displaystyle KE=\frac{1}{2} mv^2$

Potential energy formula

$\displaystyle PE=mgh$

$\displaystyle KE \Rightarrow \sf kinetic \ energy \ (J)$

$\displaystyle PE \Rightarrow \sf potential \ energy \ (J)$

$\displaystyle m \Rightarrow \sf mass \ (kg)$

$\displaystyle v \Rightarrow \sf velocity \ (m/s)$

$\displaystyle g \Rightarrow \sf acceleration \ of \ gravity\ (m/s^2)$

$\displaystyle h \Rightarrow \sf height \ (m)$

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A wheelchair ramp needs to be 8 inches high how long does it have to be to have a mechanical advantage of 5

Nastasia [14]

MA = (Effort Distance)/(Effort Resistance) = L/H

L = MA * H = 5 * 8" = 40"

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3 years ago

Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance

PSYCHO15rus [73]

Answer:

No she cannot.

Explanation:

Let $v_h$ be the horizontal component of the ball velocity when it's kicked, assume no air resistance, this is a constant. Also let $v_v$ be the vertical component of the ball velocity, which is affected by gravity after it's kicked.

The time it takes to travel 95m accross the field is

$t = 95 / v_h$ or $v_h = 95/t$

t is also the time it takes to travel up, and the fall down to the ground, which ultimately stops the motion. So the vertical displacement after time t is 0

$s = v_vt + gt^2/2= 0$

where g = -9.8m/s2 in the opposite direction with $v_v$

$v_vt - 4.9t^2 = 0$

$v_vt = 4.9t^2$

$v_v = 4.9t$

Since the total velocity that the goal keeper can give the ball is 30m/s

$v = v_v^2 + v_h^2 = 30^2 = 900$

$(4.9t)^2 + \left(\frac{95}{t})^2 = 900$

$24.01t^2 + \frac{9025}{t^2} = 900$

Let substitute x = $t^2$ > 0

$24.01 x + \frac{9025}{x} = 900$

We can multiply both sides by x

$24.01 x^2 + 9025 = 900x$

$24.01x^2 - 900x + 9025 = 0$

$t= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$t= \frac{900\pm \sqrt{(-900)^2 - 4*(24.01)*(9025)}}{2*(24.01)}$

As $(-900)^2 - 4*24.01*9025 = -56761 < 0$

The solution for this quadratic equation is indefinite

So it's not possible for the goal keeper to do this.

6 0

3 years ago

What is force of gravity

Eduardwww [97]

Answer:

On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second.

5 0

3 years ago

A plane is flying east at 115 m/s. The wind accelerates it at 2.88 m/s^2 directly northwest. After 25.0s, what is the magnitude

kondaur [170]

Answer:

81.8 m/s

Explanation:

The initial velocity of the plane is:

$v_0=115 m/s$ (toward east)