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2 years ago

10

A car has a kinetic energy of 103kJ.

1 answer:

sergij07 [2.7K]2 years ago

5 0

Answer: 1200kg

Explanation:

KE = (1/2)mv^2

103kJ = 103000J

103000J = (1/2) * m * (13.1m/s)^2

Solve for m

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The initial velocity of a truck is 10 m/s. How long must it accelerate at a constant acceleration of 2m/s2 before its average ve

Yuliya22 [10]

Answer:

10s

Explanation:

vf = vi+at

30=10+2t

20= 2t

t = 10 s

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3 years ago

Given a constant acceleration and assuming linear motion, derive equations for velocity and position of a body with respect to t

uysha [10]

Answer:

v = at + u

$x = ut+\frac{1}{2}at^{2}+x_{0}$

Explanation:

acceleration, a = constant

As we know that acceleration is the rate of change of velocity

$a=\frac{dv}{dt}$

$dv=adt$

integrate on both sides

$\int dv=\int adt$

v = at + u

Where, u is the integrating constant and here it is equal to the initial velocity

Now we know that the rate of change of displacement is called velocity

$v = \frac{dx}{dt}$

$dx=vdt=(u+at) dt$

Integrate on both sides

$\int dx=\int (u+at) dt$

$x = ut+\frac{1}{2}at^{2}+x_{0}$

where, xo is the integrating constant which is initial position of the particle.

8 0

3 years ago

A submarine is 2.99 ✕ 102 m horizontally from shore and 1.00 ✕ 102 m beneath the surface of the water. A laser beam is sent from

Vsevolod [243]

Answer:

a The diagram of the situation is shown on the first uploaded image

b the angle of incidence beam striking the water is $\theta = 49.63^o$

c the angle of refraction beam striking the water is $r = 59.7^o$

d The angle the refracted beam make with respect to the horizontal is $= 30.3^o$

e The height of the target above sea level is

$h= 125.05m$

Explanation:

From the diagram we see that the angle of the beam striking the water is

$tan \theta = \frac{100}{85}$

$\theta = tan^{-1}(\frac{100}{85} )$

$= 49.63^o$

According to Snell's law

$\mu_{water} *sin(i) = \mu_{air} *sin(r)$

Where $\mu_{water }$ is the refractive index of water = 1.333

$i$ is the angle of incidence

$\mu_{air}$ is the refractive index of air = 1

r is the angle of refraction

Substituting values accordingly

$1.33 * sin (40.37) = 1 * sin(r)$

Making r the subject of the formula

$r = sin^{-1}(\frac{1.333 *sin(40.37)}{1})$

$= 59.7^o$

looking at the diagram we can see that to obtain the angle the refraction beam makes with the horizontal by subtracting the angle refraction from 90°

i.e $90 -59.7 = 30.3$ °

From the diagram we see that the height target above sea level can be obtained by this relation

$tan \theta = \frac{h}{214}\\$

Where h is the is the height

$tan(30.3) = \frac{h}{214}$

$h = 214 * tan (30.3)$

$=125.05m$

4 0

3 years ago

A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass

Nana76 [90]

V = 25,364.4 cm^3 Is volumer = 2.7g/cm^3 Is density
To calculate mass you use formula:m= V*rTo avoid remembering this formula you can see the type of unit on each given variable. We can see that we have g/cm^3 and cm^3. If we multiply them, we negate cm^3 and cm^3 and we are left with g which is unit for mass.
the answer is :
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3 years ago

10 points<br> A baseball game can end in a tie.<br> True<br> False<br> Help???

Vinvika [58]

Answer:

False

Explanation:

The game will go into more innings until a team outscores another. So, a game cannot end in a tie.

3 0

3 years ago