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2 years ago

What is the formula that can be used to find velocity if kinetic energy and mass are known?

Physics

2 answers:

Temka [501]2 years ago

8 0

Answer:

v = √(KE*2/m)

Explanation:

The formula to compute kinetic energy (KE) is:

KE = 1/2*m*v^2

where m refers to mass and v refers to velocity. Isolating v we get:

KE = 1/2*m*v^2

KE*2/m = v^2

v = √(KE*2/m)

Given kinetic energy and mass, then velocity can be computed.

viva [34]2 years ago

6 0

The formula for kinetic energy is $\frac{1}{2}m\Delta v^2$ . Thus, the equation for velocity is $v= \sqrt{ \frac{2TotalKineticEnergy}{m} }$ .

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A truck traveling at a constant speed of 40.0 km/h applies its brakes and comes to a complete stop in 5.0 s.

I am Lyosha [343]

Answer:

Part a)

$v = 11.11 m/s$

Part c)

$a = -2.22 m/s^2$

This mean the truck is decelerating and its speed is decreasing

Part e)

$t = 13.89 s$

Part f)

$d = 77.14 m$

Explanation:

Part a)

Speed of the truck is given as

$v = 40 km/h$

as we know that

1 km = 1000 m

1 h = 3600 s

so we will have

$v =40 \times \frac{1000}{3600} m/s$

$v = 11.11 m/s$

Part c)

Average acceleration is given as

$a = \frac{v_f - v_i}{t}$

now we have

$a = \frac{0 - 11.11}{5}$

$a = -2.22 m/s^2$

Part e)

as we know that it is uniform acceleration

so we can say

$v_f - v_i = at$

$11.11 - 0 = 0.80 t$

$t = 13.89 s$

Part f)

distance traveled by the truck is given as

$d = \frac{1}{2}at^2$

$d = \frac{1}{2}(0.80)(13.89^2)$

$d = 77.14 m$

4 0

2 years ago

Read 2 more answers

A frog leaps up from the ground and lands on a step 0.1 m above the ground 2 s later. We want to find the

mash [69]

Answer:

$\Delta x = v_0 t + \frac{1}{2}at^2$

Explanation:

To solve this problem, we can use the following suvat equation:

$\Delta x = v_0 t + \frac{1}{2}at^2$

where

$\Delta x$ is the vertical displacement of the frog

$v_0$ is the initial vertical velocity

t is the time

a is the acceleration

We have chosen this formula because apart from $v_0$ , all the other quantities are known. In fact:

$\Delta x =0.1 m$ is the vertical displacement

t = 2 s is the total time of flight

$a=g=-9.8 m/s^2$ is the acceleration due to gravity (negative because it is downward)

Therefore, solving for $v_0$ , we find the initial velocity of the frog:

$v_0 = \frac{\Delta x-\frac{1}{2}at^2}{t}=\frac{0.1-\frac{1}{2}(-9.8)(2)^2}{2}=9.85 m/s$

4 0

2 years ago

What shape is the JET experimental fusion reactor?

Sauron [17]

Answer:

doughnut-shaped chamber called the tokamak. This is where the fusion reactions take place, within hot plasma containing deuterium and tritium atoms.

7 0

1 year ago

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How long does it take for Saturn's equatorial flow, moving at 1500km/h, to encircle the planet?

Ludmilka [50]

Answer:

252.45 hours or 908820 seconds

Explanation:

The equatorial radius of Saturn is 60,268 km

The length of the equator will be circumference

$2\pi 60268$

Speed of the equatorial flow = 1500 km/h

$Time=\dfrac{Distance}{Speed}\\\Rightarrow Time=\dfrac{2\pi 60268}{1500}\\\Rightarrow Time=252.45\ h=252.45\times 60\times 60=908820\ s$

It will take 252.45 hours or 908820 seconds for the equatorial flow to encircle the planet.

4 0

1 year ago

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A heavy stone of mass m is hung from the ceiling by a thin 8.25-g wire that is 65.0 cm long. When you gently pluck the upper end

Triss [41]

Answer: m= 35.6 kg

Explanation:

For finding the mass of the stone we have the formula

v= $\sqrt{\frac{Tension}{Linear. Mass. density} }$

Here, Tension= m*g = m*9.81

and linear mass density= $\frac{8.25 g}{65 cm}$

Linear mass density= $\frac{8.25*10^-3}{65*10^-2}$

Linear mass density= 0.0127 kg/m

Velocity= $2*\frac{l}{t}$

Velocity= 2 * $\frac{65*10^-2}{7.84}$

Velocity= 165.8 m/s

So putting all these values in equation we get

v= $\sqrt{\frac{Tension}{Linear. Mass. density} }$

165.8= $\sqrt{\frac{m*9.81}{0.0127} }$

Solving we get

m= 35.58 kg

or m= 35.6 kg

3 0

2 years ago