A ball is thrown vertically upwards with a velocity of 30m/s. Determine the maximum height reached

A 15 kg bucket of water is suspended by a very light ropewrapped around a solid uniform cylinder 0.300 m in diamter withmass 12.

matrenka [14]

Answer:

Part a)

$T = 42 N$

Part b)

$v_f = 11.8 m/s$

Part c)

$t = 1.7 s$

Part d)

$F = 159.7 N$

Explanation:

Part a)

While bucket is falling downwards we have force equation of the bucket given as

$mg - T = ma$

for uniform cylinder we will have

$TR = I\alpha$

so we have

$T = \frac{1}{2}MR^2(\frac{a}{R^2})$

$T = \frac{1}{2}Ma$

now we have

$mg = (\frac{M}{2} + m)a$

$a = \frac{mg}{(\frac{M}{2} + m)}$

$a = \frac{15 \times 9.81}{(6 + 15)}$

$a = 7 m/s^2$

now we have

$T = \frac{12 \times 7}{2}$

$T = 42 N$

Part b)

speed of the bucket can be found using kinematics

so we have

$v_f^2 - v_i^2 = 2 a d$

$v_f^2 - 0 = 2(7)(10)$

$v_f = 11.8 m/s$

Part c)

now in order to find the time of fall we can use another equation

$v_f - v_i = at$

$11.8 - 0 = 7 t$

$t = 1.7 s$

Part d)

as we know that cylinder is at rest and not moving downwards

so here we can use force balance

$F = T + Mg$

$F = 42 + (12 \times 9.81)$

$F = 159.7 N$

5 0

3 years ago

Which universal force acts on protons and neutrons in an atom’s nucleus

Yuliya22 [10]

The strong nuclear force overcomes the electric force of repulsion thatacts among the protons in thenucleus. B. The weak nuclear force is involved in certain types of radioactive processes. A.The strong nuclear force is a powerful force of attraction that acts only on theneutrons and protons in the nucleus.

6 0

3 years ago

a 5.0 charge is placed at the 0 cm mark of a meterstick and a -4.0 charge is placed at the 50 cm mark. what is the electric fiel

Lesechka [4]

Answer:

-1748*10^N/C

Explanation:

See attached file

8 0

3 years ago

Describe a situation in your everyday life where you could use the scientific method. List all the steps of the scientific metho

emmainna [20.7K]

Yes, scientific method can be applied on many everyday activities to get a reasonable solution. Infact normally we are applying this method without having it in our knowledge that we are applying it.

For example: In morning we are going to office and we start the car, but it is not started.You turn the engine again and again but it simply donot works.

Observation (the state of defining a problem):

The car is not started

Hypothesis (A possible solution based on the information we already know):

The car is not started because it might be out of gas or there can be some other technical fault.

Experiment (testing of hypothesis by applying different methods of solving problem):

You get the fuel and put it inside the car but it still donot works and car didnot start. Experiment didnot get solution.

Analyze the results of data and test another hypothesis

You call a technician and he check with the car engine tries and finds out that the engine was out of order and needs repairing.

Draw conclusion:

The engine do not works when it is out of order and it is a cause of a car not being started.

<em>Now the theory and law making part can not be applied on this case but it is a part of scientific method.</em>

Hope it helps!

8 0

4 years ago

X rays are used in hospital to locate in the patients bones.If the x rays of wavelength of 2×10 to the power negative nine m tra

jasenka [17]

Answer:1.5×10 to the power of 17(unit-Hertz/H)

Explanation:V=F×Wavelength

F=V/Wavelength=3×10 to power/2×10 to power of -9=1.5×10 to power of 17

8 0

3 years ago