Ask question

Ask question

All categories

3 years ago

11

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete sw

ing

1 answer:

Nady [450]3 years ago

5 0

Answer:

3.464 seconds.

Explanation:

We know that we can write the period (the time for a complete swing) of a pendulum as:

$T = 2*\pi*\sqrt{\frac{L}{g} }$

Where:

$\pi = 3.14$

L is the length of the pendulum

g is the gravitational acceleration:

g = 9.8m/s^2

We know that the original period is of 2.00 s, then:

T = 2.00s

We can solve that for L, the original length:

$2.00s = 2*3.14*\sqrt{\frac{L}{9.8m/s^2} }\\\\\frac{2s}{2*3.14} = \sqrt{\frac{L}{9.8m/s^2}}\\\\(\frac{2s}{2*3.14})^2*9.8m/s^2 = L = 0.994m$

So if we triple the length of the pendulum, we will have:

L' = 3*0.994m = 2.982m

The new period will be:

$T = 2*3.14*\sqrt{\frac{2.982m}{9.8 m/s^2} } = 3.464s$

The new period will be 3.464 seconds.

You might be interested in

George walks to a friend's house. He walks 750 meters North, then realizes he walked

Sauron [17]

Answer:

I think you are looking for the velocity, so the answer is 38.5 m/s

Explanation:

Velocity is giving by displacement/time. North will be positive and South will be negative, George travels 750 meters then travels -250 meters his displacement is then 750 - 250 or 500 meters. Divide that by 13 seconds to get 38.5 m/s.

4 0

3 years ago

A shell is fired from the ground with an initial speed of 1.74 ✕ 103 m/s at an initial angle of 58° to the horizontal.

ValentinkaMS [17]

Answer:

a) horizontal range s=277671.77 m

b) time the shell is in motion 301.143 s

Explanation:

Is a parabolic movement so the velocity have two components:

$v = 1.74 x 10^{3} ( \frac{m}{s} )$

$\alpha = 58$ °

$v_{y} =v*Sen (\alpha )\\v_{x} =v*Cos (\alpha )$

$v_{y} =1740*Sen (58 )\\v_{x} =1740*Cos (58)$

$v_{y} = 1475.603 \frac{m}{s}\\v_{x} = 922.059 \frac{m}{s}\\$

$t= \frac{2*v_{y} }{g}$

$t= \frac{2*1475.603 }{9.8}$

$t= 301.143 s$

$v= \frac{s}{t} \\s= v_{x}*t$

$s= 922.059 \frac{m}{s} * 301.143 s$

$s = 277671.77 m$

4 0

4 years ago

The work function for silver is 4.73 eV. (a) Convert the value of the work function from electron volts to joules.

pogonyaev

Answer:

$W=7.56\times 10^{-19}\ J$

Explanation:

Given that,

The work function for silver is 4.73 eV.

We need to find the value of the work function from electron volts to joules.

We know that,

$1\ eV=1.6\times 10^{-19}\ J$

For 4.73 eV,

$4.73\ eV=1.6\times 10^{-19}\times 4.73\\\\=7.56\times 10^{-19}\ J$

So, the work function for silver is $7.56\times 10^{-19}\ J$ .

6 0

3 years ago

A 90 kg person stands at the edge of a stationary children's merry-go-round at a distance of 5.0 m from its center. The person s

Paraphin [41]

Answer:

$\omega = 0.016\,\frac{rad}{s}$

Explanation:

The rotation rate of the man is:

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

$\omega = \frac{0.80\,\frac{m}{s} }{5\,m}$

$\omega = 0.16\,\frac{rad}{s}$

The resultant rotation rate of the system is computed from the Principle of Angular Momentum Conservation:

$(90\,kg)\cdot (5\,m)^{2}\cdot (0.16\,\frac{rad}{s} ) = [(90\,kg)\cdot (5\,m)^{2}+20000\,kg\cdot m^{2}]\cdot \omega$

The final angular speed is:

$\omega = 0.016\,\frac{rad}{s}$

3 0

3 years ago

Maria drove to the store and then to work . What is marias total displacement during her trip

antoniya [11.8K]

Explanation:

Displacement is the shortest distance between two points. Displacement is used to calculate vector quantities such a velocity, force, acceleration, etc.

Here, Maria drove to the store and then to work this means that her total displacement will be the minimum distance between her initial point and her work place.

Hence, the minimum distance between her initial point and her work place is her total displacement.

3 0

3 years ago