A gas occupies 140 mL at 35.0 and 97kPa. what wlll the volume be at STP?

A merry-go-round with a rotational inertia of 600 kg m2 and a radius of 3. 0 m is initially at rest. A 20 kg boy approaches the

Margaret [11]

Hi there!

$\boxed{\omega = 0.38 rad/sec}$

We can use the conservation of angular momentum to solve.

$\large\boxed{L_i = L_f}$

Recall the equation for angular momentum:

$L = I\omega$

We can begin by writing out the scenario as a conservation of angular momentum:

$I_m\omega_m + I_b\omega_b = \omega_f(I_m + I_b)$

$I_m$ = moment of inertia of the merry-go-round (kgm²)

$\omega_m$ = angular velocity of merry go round (rad/sec)

$\omega_f$ = final angular velocity of COMBINED objects (rad/sec)

$I_b$ = moment of inertia of boy (kgm²)

$\omega_b$ = angular velocity of the boy (rad/sec)

The only value not explicitly given is the moment of inertia of the boy.

Since he stands along the edge of the merry go round:

$I = MR^2$

We are given that he jumps on the merry-go-round at a speed of 5 m/s. Use the following relation:

$\omega = \frac{v}{r}$

$L_b = MR^2(\frac{v}{R}) = MRv$

Plug in the given values:

$L_b = (20)(3)(5) = 300 kgm^2/s$

Now, we must solve for the boy's moment of inertia:

$I = MR^2\\I = 20(3^2) = 180 kgm^2$

Use the above equation for conservation of momentum:

$600(0) + 300 = \omega_f(180 + 600)\\\\300 = 780\omega_f\\\\\omega = \boxed{0.38 rad/sec}$

8 0

2 years ago

Gwen is researching the effects of a small asteroid impact in an area that has started to regrow after being hit ten years ago.

Bumek [7]

Answer:

Gwen’s assumption of asteroid hit as long term change is incorrect. Asteroid hit is not a long term change, instead, it is a short term change.

Explanation:

Examples of short term changes are drought, flood, volcanic eruption, etc. A short term change occurs quickly and can immediately affect organisms but it doesn’t become a reason for species extinction. The effects of a short term change don’t prevail over a long span of time.

Examples of long term changes are ice age, global warming, deforestation, etc. Unlike a short term change, it takes time but the consequences are far-reaching. It can lead to species extinction.

In this question, asteroid hit is a quick and unexpected hazard, unlike the slow long term environmental changes.

3 0

2 years ago

Read 2 more answers

How much work is done by the gravitational force when a 265-kg pile driver falls 2.80m?

sp2606 [1]

Answer:

i dont know why are u asking me

Explanation:

6 0

3 years ago

The formation of a new substance shows that what change occurs

ycow [4]

A chemical change might also result in the formation of a precipitate, such as the appearance of a cloudy material when dissolved substances are mixed. Rotting, burning, cooking, and rusting are all further types of chemical changes because they produce substances that are entirely new chemical compounds.

7 0

3 years ago

If a bus has a mass of 1,021 kg, how much does the bus weigh?

lisov135 [29]

$m=1 \ 021 \ kg \\ g=10 \ m/s^2 \\ \boxed{W-?} \\ \bold{Solving:} \\ \boxed{W=m \cdot g} \\ W=1 \ 021 \ kg \cdot 10 \ m/s^2 \\ \Rightarrow \boxed{W=10 \ 210 \ N}$

6 0

3 years ago