If the plane travels at 600 km/h for 2 hours, how far has it traveled?

driving down the highway , you find yourself behind a heavily loaded tomato truck. you follow close behind the truck keeping the

prohojiy [21]

Answer:

The tomato won't hit the car

Explanation:

According to the statement, the car moves at constant speed behind the truck fully loaded with tomatoes, and in the same direction. When a tomato falls from the top of the truck, it should not hit the car as the tomato falls due to the force of gravity, while horizontally has the same speed and in the same direction as the truck. So we assume that the tomato will fall to the road without touching the car.

Have a nice day!

4 0

4 years ago

A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0 N/m. At the moment t = 0, th

svp [43]

a) $x(t)=2.0 sin (10 t) [m]$

The equation which gives the position of a simple harmonic oscillator is:

$x(t)= A sin (\omega t)$

where

A is the amplitude

$\omega=\sqrt{\frac{k}{m}}$ is the angular frequency, with k being the spring constant and m the mass

t is the time

Let's start by calculating the angular frequency:

$\omega=\sqrt{\frac{k}{m}}=\sqrt{\frac{50.0 N/m}{0.500 kg}}=10 rad/s$

The amplitude, A, can be found from the maximum velocity of the spring:

$v_{max}=\omega A\\A=\frac{v_{max}}{\omega}=\frac{20.0 m/s}{10 rad/s}=2 m$

So, the equation of motion is

$x(t)= 2.0 sin (10 t) [m]$

b) t=0.10 s, t=0.52 s

The potential energy is given by:

$U(x)=\frac{1}{2}kx^2$

While the kinetic energy is given by:

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

The velocity as a function of time t is:

$v(t)=v_{max} cos(\omega t)$

The problem asks as the time t at which U=3K, so we have:

$\frac{1}{2}kx^2 = \frac{3}{2}mv^2\\kx^2 = 3mv^2\\k (A sin (\omega t))^2 = 3m (\omega A cos(\omega t))^2\\(tan(\omega t))^2=\frac{3m\omega^2}{k}$

However, $\frac{m}{k}=\frac{1}{\omega^2}$ , so we have

$(tan(\omega t))^2=\frac{3\omega^2}{\omega^2}=3\\tan(\omega t)=\pm \sqrt{3}\\$

with two solutions:

$\omega t= \frac{\pi}{3}\\t=\frac{\pi}{3\omega}=\frac{\pi}{3(10 rad/s)}=0.10 s$

$\omega t= \frac{5\pi}{3}\\t=\frac{5\pi}{3\omega}=\frac{5\pi}{3(10 rad/s)}=0.52 s$

c) 3 seconds.

When x=0, the equation of motion is:

$0=A sin (\omega t)$

so, t=0.

When x=1.00 m, the equation of motion is:

$1=A sin(\omega t)\\sin(\omega t)=\frac{1}{A}=\frac{1}{2}\\\omega t= 30\\t=\frac{30}{\omega}=\frac{30}{10 rad/s}=3 s$

So, the time needed is 3 seconds.

d) 0.097 m

The period of the oscillator in this problem is:

$T=\frac{2\pi}{\omega}=\frac{2\pi}{10 rad/s}=0.628 s$

The period of a pendulum is:

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

where L is the length of the pendulum. By using T=0.628 s, we find

$L=\frac{T^2g}{(2\pi)^2}=\frac{(0.628 s)^2(9.8 m/s^2)}{(2\pi)^2}=0.097 m$

5 0

3 years ago

Which chart correctly describes the properties of electric and magnetic fields?

Serjik [45]

<span>Both electric and magnetic fields exert body forces, meaning they act from a distance. The like charges and poles in both repel; positive charge repels positive and the north pole repels the north pole. For both, the opposite poles/charges attract. Finally, only magnetic fields have poles, and there are two poles, namely the south and north, so they are dipolar. The diagram that represents all of this information correctly is the third.</span>

7 0

4 years ago

During a thunderstorm, a plasma channel forms between the negatively charged clouds and the positively charged Earth, which crea

olchik [2.2K]

Electrons would likely pass through the plasma channel when the formation of a lightning takes place. Lightning is primarily caused by the formation of an ionised cloud in the atmosphere. This cloud was due to the attractions between molecules of rain drops wherein produce a negative charge.

4 0

3 years ago

Read 2 more answers

A battery produces ________current, which is current that flows in only one direction.

Anna71 [15]

The correct answer to the question is direct current i.e a battery produces direct current which is the current that flows in only one direction.

EXPLANATION:

Before coming into any conclusion, first we have to understand the types of current. There are generally two types of current which are known as direct current and alternating current.

Direct current:

A direct current is the current which moves in one direction only. It may be a steady current or a pulsating direct current.

A steady current is a time independent current i.e its magnitude is constant with time. It is also known as a stationary current. For instance, the current flowing through a battery.

A pulsating dc current is a type of dc current in which the magnitude of the current changes with time, but moves in one direction. For instance, the current produced in a junction diode rectifier.

Alternating current: Alternating current is the type of fluctuating current whose magnitude changes continuously and direction changes periodically.

In the given question, the current produced in a battery is flowing in one direction only.

Hence, the correct answer to the question will be direct current.

4 0

3 years ago

Read 2 more answers