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3 years ago

Suppose that two objects attract each other with a gravitational force of 50N. If the mass

Physics

1 answer:

jekas [21]3 years ago

3 0

Answer:

F' = 112.5 N

Explanation:

The force of gravitation between two objects is given by Newton's Law of Gravitation as follows:

$F = \frac{Gm_{1}m_{2}}{r^2}\\$ ______________ equation (1)

where,

F = Force = 50 N

G = universal gravitational constant

m₁ = mass of the first object

m₂ = mass of the second object

r = distance between objects

Now, the masses of each object are tripled and the distance between them is doubled:

m₁' = 3m₁

m₂' = 3m₂

r' = 2r

Hence, the new force will be:

$F' = \frac{G(3m_{1})(3m_{2})}{(2r)^2}\\\\F' = \frac{9}{4}\frac{Gm_{1}m_{2}}{r^2}$

using equation (1), we get:

F' = 2.25 F = 2.25(50 N)

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In short-track speed skating, the track has straight sections and semi-circles 16 m in diameter. Assume that a 66 kg skater goes

kotykmax [81]

Answer:

a. 1,188 N

b. 1.836

Explanation:

The computation is shown below:

a. For horizontal force, first we need to find out the circular path radius which is shown below:

As we know that

$r = \frac{d}{2}$

$= \frac{16}{2}$

= 8m

Now the horizontal force is

$F = \frac{m\times v^2}{r}$

where,

m = 66 kg

v = 12 m/s

and r = 8 m

Now placing these values to the above formula

So, the horizontal force is

$F = \frac{66\times 12^2}{8}$

= 1,188 N

b. Now the ratio of force to the weight of skater is

$= \frac{1,188 N}{66\ kg \times 9.8m/s^{2}}$

= 1.836

3 0

3 years ago

Gas A has molecules with small mass. Gas B has molecules with larger mass. They are at the same temperature.

Julli [10]

Answer:

c)The gases have the same average kinetic energy.

Explanation:

As we know that the kinetic energy of gas is given as

$K = \frac{1}{2}mv^2$

here we know that

$v = \sqrt{\frac{3RT}{M}}$

so we have

$K = \frac{1}{2}m (\frac{3RT}{M})$

now we have

$K = \frac{3}{2}n RT$

now mean kinetic energy per molecule is given as

$K_{avg} = \frac{3}{2}KT$

so this is independent of the mass of the gas

so average kinetic energy will remain same for both the gas molecules

6 0

3 years ago

What is the difference in force of a car and a tractor

vodka [1.7K]

Answer:

See a tractor is more slow but has a greater force and a car is fast but has a slower force

Explanation:

so your answer is Tractors have more force then cars

6 0

3 years ago

The moon Umbriel orbits Uranus (mass = 8.68 x 10^25 kg) at a distance of 2.66 x 10^8 m. What is Umbriel's orbital period (in hou

Whitepunk [10]

Answer:

T = 99.51 hour

Explanation:

Mass of Uranus, $M=8.68\times 10^{25}\ kg$

The moon Umbriel orbits Uranus at a distance of $2.66\times 10^8\ m$

We need to find Umbriel's orbital period. Let it is T. Using Kepler's third law of motion to find it.

$T^2\propto r^3\\\\T^2=\dfrac{4\pi^2r^3}{GM}\\\\T^2=\dfrac{4\pi^2\times (2.66\times 10^8)^3}{6.67\times 10^{-11}\times 8.68\times 10^{25}}\\\\T=358244.51\ s$

As 1 hour = 3600 s

358244.51 s = 99.51 hour

Hence, Umbriel's orbital period is 99.51 hour.

7 0

3 years ago

A motorcycle stunt driver zooms off the end of a cliff at a speed of 41.9 meters per second. If he lands after 1.62 seconds, wha

tiny-mole [99]

Of the cliff?

Projectile motion
In the problem we are asked to find a height of certain cliff when a motorcycle stunt driver zoom out horizontally at the end the cliff at an initial velocity. So we will use one of the kinematics equation for projectile motion,

y
=
v
o
y
t
+
1
2
g
t

where
v
o
y
is just equal to zero since we can assume that the driver zooms out horizontally,
g
=
9.8

m
/
s
2
and
t
is time after

8 0

3 years ago