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gavmur [86]
3 years ago
11

Alex swims at an average speed of 45 m/min.how far does he swim in 1min 24 sec?

Physics
1 answer:
Drupady [299]3 years ago
8 0

Answer: 72m/1 min and 24 secs

Explanation:

He swims .75m/sec. im pretty sure i got it but let me know and ill help you out if its wrong

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The Earth rotates once every day. What is the velocity of a person on its surface, if the radius of Earth is 6 million meters
LekaFEV [45]

Answer:

v = ω R

number of seconds in 24 hrs = 24 * 3600 = 86400 s / da = T (period)

f = 1 / T

ω  = 2 Π f = 2 Π / T = 2 Π / 86400

v = 2 Π / 8.64E4 * 6.0E6 = 436 m / s

Check:

S = 2 Π * 6.0E6 = 3.77E7 m/da

S / T = 3.77E7 m/da / 8.64E4 s/da = 436 m / s

3 0
2 years ago
A closed, rigid tank fitted with a paddle wheel contains 2 kg of air, initially at 300 K. During an interval of 5 minutes, the p
anzhelika [568]

Answer:

The final temperature of the air is T_2= 605 K

Explanation:

We can start by doing an energy balance for the closed system

\Delta KE+\Delta PE+ \Delta U = Q - W

where

\Delta KE = the change in kinetic energy.

\Delta PE = the change in potential energy.

\Delta U = the total internal energy change in a system.

Q = the heat transferred to the system.

W = the work done by the system.

We know that there are no changes in kinetic or potential energy, so \Delta KE = 0 and \Delta PE=0

and our energy balance equation is \Delta U = Q - W

We also know that the paddle-wheel transfers energy to the air at a rate of 1 kW and the system receives energy by heat transfer at a rate of 0.5 kW, for 5 minutes.

We use this information to calculate the total internal energy change \Delta U=W+Q using the energy balance equation.

We convert the interval of time to seconds t = 5 \:min = 300\:s

\Delta \dot{U}=\dot{W}+ \dot{Q}\\=\Delta U=(W+ Q)\cdot t

\Delta U=(1 \:kW+0.5\:kW)\cdot 300\:s\\\Delta U=450 \:kJ

We can use the change in specific internal energy \Delta U = m(u_2-u_1) to find the final temperature of the air.

We are given that T_1=300 \:K and the air can be describe by ideal gas model, so we can use the ideal gas tables for air to determine the initial specific internal energy u_1

u_1=214.07\:\frac{kJ}{kg}

Next, we will calculate the final specific internal energy u_2

\Delta U = m(u_2-u_1)\\\frac{\Delta U}{m} =u_2-u_1

\frac{\Delta U}{m} =u_2-u_1\\u_2=u_1+\frac{\Delta U}{m}

u_2=214.07 \:\frac{kJ}{kg} +\frac{450 \:kJ}{2 \:kg}\\u_2= 439.07 \:\frac{kJ}{kg}

With the value u_2=439.07 \:\frac{kJ}{kg} and the ideal gas tables for air we make a regression between the values u = 434.78 \:\frac{kJ}{kg},T=600 \:K and u = 442.42 \:\frac{kJ}{kg}, T=610 \:K and we find that the final temperature T_2 is 605 K.

3 0
3 years ago
A boy pushes a 50 kg wheelbarrow with a velocity of 0.5 m/s. If he uses a force of 10 N, how far does he push
labwork [276]

Answer:

d=1.25 m

Explanation:

fd=.5mv2-.5mv1; 10(d)=.5(50)(.5)-0; 10(d)=12.5; d=12.5/10; d=1.25 m

4 0
3 years ago
What property is primarily responsible for determining the type of electromagnetic energy and peak wavelength emitted by a star
Galina-37 [17]

Answer:<u><em>B. Temperature</em></u>

Explanation:The temperature of the star such as Sun is measured. Using this measurement, its peak wavelength and energy can be determined.For determination of wavelength, <u>Wien's displacement law is used</u>. This law states that, the sun like body emits all kinds of wavelengths and thus is nearly a black body.For black body, the peak wavelength emitted is inversely proportional to the temperature of the body. From the wavelength, energy can be calculated.<u>Temperature is the property which is primarily responsible for determining the type of electromagnetic energy and peak wavelength emitted by star</u>.

5 0
3 years ago
A spring has a 12 cm length. When a 200-g mass is hung from the spring, it extends to 27 cm. The hanging mass were pulled downwa
BartSMP [9]

Answer:

The equation of the time-dependent function of the position is x(t)=5\cos(8.08t)

(b) is correct option.

Explanation:

Given that,

Length = 12 cm

Mass = 200 g

Extend distance = 27 cm

Distance = 5 cm

Phase angle =0°

We need to calculate the spring constant

Using formula of restoring force

F=kx

mg=kx

k=\dfrac{mg}{x}

k=\dfrac{200\times10^{-3}\times9.8}{(27-12)\times10^{2}}

k=13.06\ N/m

We need to calculate the time period

Using formula of time period

T=2\pi\sqrt{\dfrac{m}{k}}

Put the value into the formula

T=2\pi\sqrt{\dfrac{0.2}{13.6}}

T=0.777\ sec

At t = 0, the maximum displacement was 5 cm

So, The equation of the time-dependent function of the position

x(t)=A\cos(\omega t)

Put the value into the formula

x(t)=5\cos(2\pi\times f\times t)

x(t)=5\cos(2\pi\times\dfrac{1}{T}\times t)

x(t)=5\cos(2\pi\times\dfrac{1}{0.777}\times t)

x(t)=5\cos(8.08t)

Hence, The equation of the time-dependent function of the position is x(t)=5\cos(8.08t)

8 0
3 years ago
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