Two people pull as hard as they can on horizontal ropes attached to a boat that has a mass of 200 kg. If they pull in the same direction, the boat has an acceleration of 1.42 m/s2 to the right. If they pull in opposite directions, the boat has an acceleration of 0.509 m/s2 to the left. What is the magnitude of the force each person exerts on the boat

Answers

Answer 1
Answer:

Answer: 192.9N and 91.1N

Explanation:

Let the force exerted by one person = X

Let the force exerted by the other person = y

Then, we can create equations

When both persons pull in the same direction, then

X + Y = 200 * 1.42

When both persons pull I'm opposite directions, then

X - Y = 200 * 0.509

Now we have

X + Y = 284

X - Y = 101.8

When we add the 2 equations together, we get

2X = 385.8

X = 385.8/2

X = 192.9

If x = 192.9, then, y = 284 - x

Y = 91.1

Therefore, one person exerts 192.9N, and the other exerts 91.1N


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Green light has a lower frequency than blue light. Which color of light has a longer wavelength?

Answers

Although green light has a lower frequency than the blue light, but green light has the longer wavelength than the wavelength of blue light. The wavelength of green light is longer by a small margin than the wavelength of the blue light. Red light has the highest wavelength among all the available colors of light. Any color of light is nothing but an electromagnetic wave that enables us to see things around us. Humans mostly can see wavelengths between the Electromagnetic spectrum and the Ultra violet region.


Answer:

purple

Explanation:

The driver of a car is driving the car very fast.The car hits a crash barrier and stops very quickly.
Describe why the driver is injured.

Answers

because the persons head is probably slammed into some part of the car and that means that the persons slammed on the brakes really hard so the person is probably injured
i hope this helps

The momentum of the car is probably very large before.When it crashes. the momentum changes suddenly in a short period of time.
Rate of change of momentum = Force

So, as the momentum changes in a very short period of time, the force exerted on the driver is very large.So, he gets injured

Yellow light has a longer wavelength than green light. Which color of light has the higher frequency?

Answers

well wavelength=(speed of wave)/frequency
 so if wavelength is longer the frequency is shorter 
since yellow light has longer wavelength than green light
yellow light has a shorter frequency than green light
so green light has a higher frequency

Challenge: Some but not all of the gasoline used by car's enegine is transformed into kinetic energy. Where might some of the energy go in this system?

Answers

Most of the excess energy is released as waste heat into the air surrounding the engine. Small amounts of excess energy are also released as sound energy, and as electrical energy generated by the alternator in a car's engine.

Convert 93 nanometer to meters.

Answers

Answer:

9.3e-8 Meters

This figure shows the angular displacement of a pendulum on a planet with five times the earth's gravity. How long is the pendulum's string?1.0 m

3.2 m

0.80 m

4.0 m

Answers

Answer:

L = 1.24\ m

Explanation:

It is known that the oscillation period of a pendulum can be described as

T=2\pi \sqrt((L)/(g))\n,

where T is the oscillation period, L is the length of the pendulum and, g is the gravity.

Solving For the length we get:

L=g( (T)/(2\pi))^(2).

We know that g equals 5 times earth's gravity,

g=5*9.8=49\ m/s^(2),

and from the angular displacement graphics, it can be seen that the period is

T= 1\ s.

Now, we can easily compute the length of the pendulum:

L=g((T)/(2\pi))^(2)\n\nL=49((1)/(2\pi))^(2)\n\n\n\nL=1.24\ m\n

Explanation:

The period (time per cycle) is 1.0 s.  The gravity is 5g or 49 m/s².  Therefore:

T = 2π √(L / g)

1.0 s = 2π √(L / 49 m/s²)

L = 1.2 m