If a canadian plane is traveling at 500 miles/hr, how fast is this in m/s?

A pendulum of mass 5.0 kg hangs in equilibrium. A frustrated student walks up to it and kicks the bob with a horizontal force of

Phoenix [80]

Answer:

The length is $L = 6.206m$ and the angle is $\theta = 37.752^o.$

Explanation:

The period $T$ of the pendulum is related to its length $L$ by

$T = 2\pi \sqrt{\dfrac{L}{g} },$

where $g =9.8m/s^2$ is the acceleration due to gravity.

Solving for $L$ we get

$L = \dfrac{T^2g}{4\pi^2}$

putting in $T =5.0s$ and $g =9.8m/s^2$ we get:

$L = \dfrac{(5.0s)^2*9.8m/s^2}{4\pi^2}$

$\boxed{L = 6.206m.}$

There are two forces acting on the pendulum: The gravitational force $mg$ and the $F = 30N$ student's force. Therefore, the angular displacement $\theta$ that these forces give is

$sin(\theta ) = \dfrac{F}{mg}$

$\theta = sin^{-1}( \dfrac{F}{mg})$

putting in $F =30N$ , $m =5.0kg$ , and $g =9.8m/s^2$ we get

$\theta = sin^{-1}( \dfrac{30N}{5.0kg*9.8m/s^2})$

$\boxed{\theta = 37.752^o.}$

4 0

3 years ago

One student runs with a velocity of +10 m/s while a second student runs with a velocity of –10 m/s. Which student has the faster

larisa86 [58]

Answer:

The one with the faster velocity is the one with a velocity of -10m/s

7 0

2 years ago

Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo, New York; there is negligible fricti

Citrus2011 [14]

Explanation:

Momentum is conserved.

a) In the first scenario, Olaf and the ball have the same final velocity.

mu = (M + m) v

(0.400 kg) (10.9 m/s) = (70.2 kg + 0.400 kg) v

v = 0.0618 m/s

b) In the second scenario, the ball has a final velocity of 8.10 m/s in the opposite direction.

mu = mv + MV

(0.400 kg) (10.9 m/s) = (0.400 kg) (-8.10 m/s) + (70.2 kg) v

v = 0.108 m/s

6 0

3 years ago

D

lakkis [162]

The right answer is “Atoms “

8 0

2 years ago

Read 2 more answers

the reason the moon does not crash into the earth is that the group of answer choices moon has less mass than the earth. moon ha

lora16 [44]

The moon's mass is only outnumbered by Earth's mass, which is 81 times greater. This indicates that while it moves in a circle, the circle is substantially smaller than usual. The core of the circle that the Earth revolves around is really inside the planet.

In space, there is gravity. It is gravity that makes the moon orbit. Everything in orbit, including the moon, is falling freely. That entails letting gravity operate as it pleases. Because you continually missing the object you are orbiting, an orbit is like a fall that never makes it to the earth; by the time you arrive at the spot where the object was, you have overshot, and it is now behind you.

Learn more about Earth here-

brainly.com/question/14042561

#SPJ4

4 0

5 months ago