Ask question

Ask question

All categories

3 years ago

11

a backpack has a mass of 8 kg. it is lifted and given 54.9 J of gravitational potential energy. how high is is lifted? accelerat

ion due to gravity is g=9.8 m/s^2.

1 answer:

dalvyx [7]3 years ago

8 0

P=mgh
h=P/mg
h=(54.9)/(8*9.8)= 0.7m

You might be interested in

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent

anzhelika [568]

Answer:

The position is $P = 47.4 \ m$ relative to the base of the ocean

Explanation:

From the question we are told that

The angle made by the incline with the horizontal is $\theta = 24.0 ^o$

The constant acceleration is $a = 3.82 \ m/s^2$

The distance covered is $d = 60.0 \ m$

The height of the cliff is $h = 50 .0 \ m$

The velocity of the car is mathematically represented as

$v^2 = u^2 + 2ad$

The initial velocity of the car is u= 0

So

$v^2 = 2ad$

substituting values

$v^2 = 2 * 3.82 * 60$

$v = 21.4 \ m/s$

The vertical component of this velocity is

$v_v = -v * sin(\theta )$

substituting values

$v_v = -21.4 * sin(24.0)$

$v_v = -8.7 \ m/s$

The negative sign is because is moving in the negative direction of the y-axis

The horizontal component of this velocity is

$v_h = v * cos (\theta)$

$v_h = 21.4 * cos (24.0)$

$v_h = 19.5 \ m/s$

Now according to equation of motion we have

$h = v_v*t - \frac{1}{2} * g t^2$

substituting values

$50 = -8.7 t - \frac{1}{2} * 9.8 t^2$

$4.9t^2 +8.7t -50 = 0$

using quadratic equation we have that

$t_1 = 2.42\ s \ and\ t_2 = -4.20\ s$

given that time cannot be negative

$t = 2.42 \ s$

The car’s position relative to the base of the cliff when the car lands in the ocean is mathematically evaluate as

$P = v_h * t$

substituting values

$P = 19.5 * 2.43$

$P = 47.4 \ m$

5 0

3 years ago

Do deaf children go through the four stages of acquiring language? Use what you’ve read in the chapter to explain why or why not

sdas [7]

No deaf children dont. im deaf and i dident go through those stages.

4 0

4 years ago

Which statement best describes the positions of the two elements in the periodic table?

vagabundo [1.1K]

The two elements are in the same period, with Element R the first element in the period and Element Q the last element.

4 0

3 years ago

An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 3.83 times Earth's. What is

yKpoI14uk [10]

Answer:

About 7.5 years

Explanation:

The orbital period is proportional to the semimajor axis raised to the power of 3/2.

The orbital period is <em>also</em> inversely proportional to the square root of the sum of the masses of the sun and the asteroid; however, the sun's mass is a constant and the asteroid's mass is negligible in comparison with the sun's mass.

3 0

4 years ago

Compare the two circuit diagrams If one of the resistors is turned off (a light bulb goes out), what happens to the other resist

ella [17]

Answer:

it’s C

Explanation:

i just took the test

8 0

3 years ago