Could anyone help with this? :)

A 22.0-kg child is riding a playground merrygo-round that is rotating at 40.0 rev/min. What centripetal force is exerted if he i

Tems11 [23]

Answer:

F=480.491 N

Explanation:

Given that

mass ,m = 22 kg

Angular speed ω = 40 rev/min

$\omega=\dfrac{2\pi \times 40}{60}\ rad/s$

ω =4.18 rad/s

The radius r= 1.25 m

We know that centripetal force is given as

F=m ω² r

Now by putting the values in the above equation we get

$F=22\times 4.18^2\times 1.25\ N$

F=480.491 N

Therefore the centripetal force on the child will be 480.491 N.

6 0

3 years ago

Water from a leaking tap begins to fall into

Amanda [17]

Answer:

It will take 20,000 seconds to get a pressure of 200Pa at the bottom of the tank.

Explanation:

The pressure at the bottom of the tank will be

$P = \dfrac{Mg}{A}$

where $M$ is the mass of the water, and $A$ is the base area of the tank.

The base area of the tank is

$A = 0.5m* 2m = 1m^2$ ,

and if we want the pressure at the bottom to be 200pa, then it must be that

$200Pa = \dfrac{M(10m/s^2)}{1m^2}$ ,

solving for $M$ we get:

$M = 20kg\\$

which is the required mass of the water in the tank.

Now, the tank fills at a rate of 2 drops per second or

$2 (0.05g)/s = 0.10g/s = 0.0001kg/s$

since each drop weights 0.05g.

Therefore, the time $t$ it takes to collect 20kg of water will be

$t = 20kg \div \dfrac{0.0001kg}{s}$

$t = 2*10^5s$

which is 55.56 hours or 2 days and 7.56 hours.

Thus, it will take 20,000 seconds to get a pressure of 200Pa at the bottom of the tank.

7 0

3 years ago

What is power? Question options: Power is the ability to do work. Power is the rate at which work is done. Power is the amount o

nika2105 [10]

Power in physics is work done over time. So the answer is Power is the rate at which work is done.

7 0

4 years ago

Read 2 more answers

The earth has a mass ME = 5.98 · 1024 kg and the moon has a mass MM = 7.36 · 1022 kg. The distance from the center of the earth

ivann1987 [24]

Answer:

2 x 10^20 N

Explanation:

Me = 5.98 x 10^24 kg

Mm = 7.36 x 10^22 kg

r = 3.82 x 10^5 km = 3.82 x 10^8 m

The gravitational force between earth and moon is

F = G Me x Mm / r^2

F = (6.67 x 10^-11 x 5.98 x 10^24 x 7.36 x 10^22) / (3.82 x 10^8 x 3.82 x 10^8)

F = 2 x 10^20 N

6 0

4 years ago

calculate the extra pressure when you are 10 meters under water. (density of water = 1000 kg/m3, g = 9.8 N/kg). Give a value onl

dexar [7]

Answer:

$2.03\times 10^5\ Pa$

Explanation:

We need to find the extra pressure when you are 10 meters under water. The net pressure on us is given by :

$P=P_o+\rho gh\\\\P=1.05\times 10^5+1000\times 9.8\times 10\\\\P=2.03\times 10^5\ Pa$

So, $2.03\times 10^5\ Pa$ is exerted on us at 10 m under water.

5 0

3 years ago