Ask question

Ask question

All categories

2 years ago

12

A twin-sized air mattress used for camping has dimensions of 100 cm by 194 cm by 14 cm when blown up. The weight of the mattress

is 4 kg. How heavy a person (in N) could the air mattress hold if it is placed in freshwater

1 answer:

Paul [167]2 years ago

8 0

Answer:

$2625.156\ \text{N}$

Explanation:

Dimensions of mattress 100 cm by 194 cm by 14 cm

$m_m$ = Mass of mattress = 4 kg

$\rho$ = Density of water = $1000\ \text{kg/m}^3$

g = Acceleration due to gravity = $9.81\ \text{m/s}^2$

Volume of mattress

$V=100\times 194\times 14=271600\ \text{cm}^3=0.2716\ \text{m}^3$

Weight of water displaced is equal to the buoyant force

Mass of water

$m=\rho V\\\Rightarrow m=1000\times 0.2716\\\Rightarrow m=271.6\ \text{kg}$

Mass of person would be

$m_p=m-m_m=271.6-4\\\Rightarrow m_p=267.6\ \text{kg}$

Weight of the person would be

$w=m_pg\\\Rightarrow w=267.6\times 9.81\\\Rightarrow w=2625.156\ \text{N}$

The air mattress could hold a person that weighs up to $2625.156\ \text{N}$ .

You might be interested in

What does the atomic number of an element represent?

Zinaida [17]

The number of protons in an atom is represented by the atomic number.

hope this helps

7 0

2 years ago

Read the paragraph below from the section "An Object At Rest Has Potential Energy

ch4aika [34]

I think it’s d because it talks about a spring with is common like the spring in a pen

8 0

3 years ago

A child is riding a merry-go-round that has an instantaneous angular speed of 12 rpm. If a constant friction torque of 12.5 Nm i

sammy [17]

Answer:

$-0.25 rad/s^2$

Explanation:

The equivalent of Newton's second law for rotational motions is:

$\tau = I \alpha$

where

$\tau$ is the net torque applied to the object

I is the moment of inertia

$\alpha$ is the angular acceleration

In this problem we have:

$\tau = -12.5 Nm$ (net torque, with a negative sign since it is a friction torque, so it acts in the opposite direction as the motion)

$I=50.0 kg m^2$ is the moment of inertia

Solving for $\alpha$ , we find the angular acceleration:

$\alpha = \frac{\tau}{I}=\frac{-12.5 Nm}{50.0 kg m^2}=-0.25 rad/s^2$

3 0

2 years ago

Please help me, please i will mark brainliest

abruzzese [7]

Answer:

conductor,neither,insulator

Explanation:

conductors allow electricity to flow through while insulators do not

HOPE IT HELPS

5 0

2 years ago

Read 2 more answers

Old-fashioned pendulum clocks are powered by masses that need to be wound back to the top of the clock about once a week to coun

Andreyy89

Answer:

Energy, E = 178.36 J

Explanation:

It is given that,

Mass 1, $m_1=4\ kg$

Mass 2, $m_2=4\ kg$

Mass 3, $m_3=6\ kg$

Height from which they are dropped, h = 1.3 m

Let m is the energy used by the clock in a week. The energy is equal to the gravitational potential energy. It is given by :

$E=(m_1+m_2+m_3)gh$

$E=(4+4+6)\times 9.8\times 1.3$

E = 178.36 J

So, the energy used by the clock in a week is 178.36 Joules. Hence, this is the required solution.

6 0

2 years ago