Displacement vectors of 5 km north, 3 km east, 2 km south, and 3 km west combine to a total displacement of ___

Answers

Answer 1

Answer: The answer is A. 3 km north

Displacement (D) is the shortest distance from the initial to the final position.
In this example, distance is 5 km north - 2 km south = 3 km north (look at the image).

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Consider a building that used 12 × 106 Btu for heating over the period of 30 days. What average power does this correspond to?Show your calculations here:

Answers

OK. During my exhaustive 5-seconds of online research, I found
one place that says that 1 BTU is about 0.293071 watt-hour. That
should be enough to get me going.

(12 x 10^6 BTU / 30 days) x (day/24 hour) x (0.293071 watt-hour/BTU) =

(12 x 10^6) x (0.293071) / (30 x 24) watts = 4,884.5 watts .
===================================

As a check, I grabbed another conversion off the web, and I'll do
the whole thing again with that one. Let's see if I come anywhere
close to my first answer this time:

This one says that 12,000 BTU = 3.51685 kWh .
So ...

(12 x10^6 BTU) x (3.51685 kW-hr / 12,000BTU) x (day/24 hr) / (30 day) =

(12 x 10^6) x (3.51685) / (12,000 x 24 x 30) kW = 4.8845 kW

Couldn't ask for any nicer agreement !
That's my answer and I'm sticking to it.

a bullet of mass m is fired into a block of mass m that is at rest. the block, with the bullet embedded, slides distance d across a horizontal surface. the coefficient of kinetic friction is μk.

Answers

The expression for the bullet's speed vbullet is $v=\sqrt{(2\mu_k (m+M)gd)/(m)}$ and the speed of a 9.0 g bullet is v=16.8 m/s

Explanation:

A bullet of mass m is fired into a block of mass m that is at rest. the block, with the bullet embedded, slides distance d across a horizontal surface. the coefficient of kinetic friction is μk.

The initial kinetic energy of the bullet is given by

$K_i = (1)/(2)mv^2$

where

m is the mass of the bullet

v is the initial speed of the bullet

The expression for the bullet's speed vbullet is

$F=\mu_k (m+M) g$

where

$\mu_k$ is the coefficient of kinetic friction

g is the acceleration of gravity

The work done by the force of friction is

$W=-Fd = -\mu_k (m+M)g d$

where d is the displacement of the block+bullet.

Because the final kinetic energy is zero (the bullet with the block comes at rest), we can write:

$W=K_f - K_i = -K_i$

And so

$-\mu_k (m+M) g d = -(1)/(2)mv^2$

By solving for v, the solution for the bullet speed:

$-\mu_k (m+M) g d = -(1)/(2)mv^2\nv=\sqrt{(2\mu_k (m+M)gd)/(m)}$

The speed of a 9.0 g bullet that, when fired into a 12 kg stationary wood block causes the block to slide 5.4 cm across a wood table. Assume that k=0.20.

We have:

the mass of the bullet, m = 9.0 g = 0.009 kg

the mass of the block, M = 12 kg

the distance covered by the block+bullet, d = 5.4 cm = 0.054 m

the coefficient of friction, $\mu_k = 0.20$

the acceleration of gravity, $g = 9.8 m/s^2$

By substituting, we got

$v=\sqrt{(2 (0.20) (0.009 kg+12 kg)(9.8 m/s^2)(0.054 m))/(0.009 kg)}=16.8 m/s$

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uk=2m*the normal force
the distance d is needed only if you were asked about work

What is the power of a refrigerator with voltage 110 V and
current 0.8 A?

Answers

Answer: 88

Explanation:

A body of mass 2 kg is moving in the positive X-Direction with a speed of 4 m/s collides head on with an another body of mass 3 kg moving in the negative X-Direction with a speed of 1 m/s . During collision a loud sound is heard and they both start moving together . the sound energy cannot be greater than :A) 12 J
B) 14 J
C) 15 J
D) 17.5 J

Answers

$m_1=2 \n m_2=3 \n v_1=4 \n v_2=1 \n v\text{ =speed after collision (to be determined)}.$

The momentul of the system preserves:

$m_1v_1-m_2v_2=(m_1+m_2)v \ \ \ \ \ \Rightarrow \ \ \ \ \ v=(m_1v_1-m_2v_2)/(m_1+m_2).$

Ok, we found the speed after the collision.
Now, because the impact is plastic, it produces heat, sound energy and who knows what other forms of energy. We denote all this wasted energy with $E$ .

Now, we write the energy conservation law:

$(m_1v_1^2)/(2)+(m_2v^2_2)/(2)=((m_1+m_2)v^2)/(2)+E$

From the above equation, you find $E$ , and then conclude that the sound energy can certainly not be greater than this.

Anthony walks to the pizza place for lunch. he walk 1 km east, then 1 km south and then 1 km east again. what distance did he cover? what was his displacement?

Answers

he covered an amount of 2 km to east and one to south. the displacement, yeah i dont have that sorry :[

What energy resourse is made from the remains of fossolized sea animals

Answers

Oil was created from the remains of sea animals and plants.

Answer=Oil

fossil fuel, in other words oil.

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