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2 years ago

4A. How high is a 12 kg monkey in a tree if it has 509 J of gravitational potential Energy?

Physics

1 answer:

True [87]2 years ago

8 0

4A. PE = MxGxH. (You can consider g as 9.8 / 10m/s as well)

509 J = 12x10xH

509 J = 120xH

H = 509/120

H = 4.24 m

Hope u got the answer....pls rate the answer if it is helpful for u....and I'm sorry I could not understand B part so I didn't do it.

Thank you

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4. The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard devia

slamgirl [31]

Answer:

25.25%

Explanation:

Mean diameter (μ) = 0.35 inches

Standard deviation (σ) = 0.03 inches

For any given diameter, X, the z-score is given by:

$z=\frac{X-\mu}{\sigma}$

For X= 0.37 inches:

$z=\frac{0.37-0.35}{0.03}\\z=0.6667$

A z-score of 0.6667 is equivalent to the 74.75-th percentile of a normal distribution.

Therefore, the percentage of bolts that will have a diameter greater than 0.37 inches is:

$P(X>0.37) = 100 - 74.75\\P(X>0.37) = 25.25\%$

3 0

2 years ago

Two different simple harmonic oscillators have the same natural frequency (f=8.80 Hz) when they are on the surface of the Earth.

bekas [8.4K]

Answer:

8.80 Hz

Explanation:

The frequency of a loaded spring is given by

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}$

where k and m are the spring constant and the mass of the load respectively. The values of these do not change because they are internal properties of the components of the system.

Hence, the frequency of the vertical spring mass does not change and is 8.80 Hz.

On the other hand, the frequency of the simple pendulum is affected because it is given by

$\dfrac{1}{2\pi}\sqrt{\dfrac{g}{l}}$

where g and l are acceleration due to gravity and length of the pendulum, respectively. It is thus seen that it depends on g, which changes with location. In fact, the new frequency is given by

$f_2 = 8.80\sqrt{\dfrac{1.67}{9.81}}=3.63 \text{ Hz}$

3 0

2 years ago

8) Calculate the kinetic energy of a truck that has a mass of 6100 kg and is moving at 55 m/s.

Inessa [10]

Answer:

Explanation:

The kinetic energy of an object can be found by using the formula

$k = \frac{1}{2} m {v}^{2} \\$

v is the velocity

m is the mass

From the question we have

$k = \frac{1}{2} \times 6100 \times {55}^{2} \\ = 3050 \times 3025 \\ = 9226250$

We have the final answer as

Hope this helps you

7 0

3 years ago

A ball is falling after rolling off a tall roof<br> The ball has what type of energy.

CaHeK987 [17]

Answer:

Linear and rotational Kinetic Energy + Gravitational potential energy

Explanation:

The ball rolls off a tall roof and starts falling.

Let us first consider the potential energy or more specifically gravitational potential energy ( $mgh$ ; $m$ = mass of the ball, $g$ = acceleration due to gravity, $h$ = height of the roof). This energy comes because someone or something had to do work to take the ball to the top of the roof against the force of gravity. The potential energy is naturally maximum at the top and minimum when the ball finally reaches the ground.

Now, the ball starts to roll and falls off the roof. It shall continue rotating because of inertia (Newton's first law). This contributes to the rotational kinetic energy ( $\frac{1}{2}I\omega^2$ ; $I$ =moment of inertia of the ball & $\omega$ = angular velocity).