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3 years ago

Starting at (0,0) an object travels 36 meters north and then it covers 20 meters east. What is

Physics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

Answer:

Explanation:

Using the pythagoras theorem, the displacement is expressed as;

d² = x²+y²

y = 36m (north)

x = 20m east

Substitute;

d² = 36²+20²

d² = 1296+400

d² = 1696

d = √1696

d = 41.18m

For the direction;

theta = tan^-1(y/x)

theta = tan^-1(36/20)

theta = tan^-1(1.8)

theta = 60.95°

Hence the magnitude is 41.18m and the direction is 60.95°

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A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.0 m/s at ground level.

BARSIC [14]

Answer:

There is an interval of 24.28s in which the rocket is above the ground.

Explanation:

$y_{i}=0m$

$v_i=80\frac{m}{s}$

$a=4\frac{m}{s^2}$

$y_{e}=1000m$

$g=9.8\frac{m}{s^2}$

From Kinematics, the position $y$ as a function of time when the engine still works will be:

$y(t)=v_it+\frac{1}{2}at^2$

At what time the altitud will be $y_{e}=1000m$ ?

$v_it+\frac{1}{2}at^2=y_{e}$ ⇒ $\frac{1}{2}at^2+v_it-y_{e}=0$

Using the quadratic formula: $t_1=10s$ .

How much time does it take for the rocket to touch the ground? No the function of position is:

$y(t)=y_{e}+v_et-\frac{1}{2}gt^2$

Where our new initial position is $y_{max}$ , the velocity when the engine breaks is $v_e=v_i+at=120\frac{m}{s}$ and the only acceleration comes from gravity (which points down).

Now, when the rocket tounches the ground:

$y_{e}+v_et-\frac{1}{2}gt^2=0$

Again, using the quadratic ecuation:

$t_2=24.49s$

Now, the total time from the moment it takes off and the moment it tounches the ground will be:

$t_T=t_1+t_2=34.49s$ .

6 0

3 years ago

In 2 minutes, a ski lift raises four skiers at a constant speed to a height of 123 m. The average mass of each skier is 71 kg. W

serious [3.7K]

Answer:

The average power provided by the tension in the cable pulling the lift is = 714 W

Explanation:

Given data

Mass = 71 kg

Change in height = 123 m

When the lift moves in upward direction then in that case kinetic energy is constant & only potential energy changes.

Change in potential energy Δ PE = m g ( $h_f - h _ i$ )

Δ PE = 71 × 9.81 × 123

Δ PE = 85670.73 J

Time = 2 min = 120 sec

So average power is given by

$P_{avg} = \frac{Change \ in \ potential \ energy}{Time}$

$P_{avg} = \frac{85670.73}{120}$

$P_{avg} = 714 \ W$

Therefore the average power provided by the tension in the cable pulling the lift is = 714 W

7 0

3 years ago

List the two key components of kinetic energy

fomenos

Answer:

no energy is lost or gained when molecules collide

molecules are constant, linear motion

Explanation:

6 0

3 years ago

A slab of thermal insulator is 200cm square in cross section and 5cm thick.If thermal conductivity is0.50 and temperature differ

AleksandrR [38]

Answer: 5184 kJ

Explanation:

Given

Area of cross-section $A=200\ cm^2$

thickness of slab $t=5\ cm$

thermal conductivity $k=0.5\ W/m-K$

temperature difference $\Delta T=150\ K$

Heat flow is given by

$\Rightarrow Q=kA\dfrac{dT}{dx}\\\Rightarrow Q=0.5\times 200\times \dfrac{150}{5}\times 10^{-2}\\\Rightarrow Q=30\ W\ or\ 30\ J/s$

for 2 days time period, it is

$t=2\ days\ or\ 2\times 24\times 60\times 60\ s\\t=1,72,800\ s$

Heat flow in 2 days

$Q=30\times 172800=5184000=5184\ kJ$

3 0

2 years ago

What Is the meaning of density

Semmy [17]

<span>the degree of compactness of a substance.</span>

5 0

3 years ago