If you were to mix 3 liters of 20 degrees celsius water with 4 liters of 30 degrees water at 7 liters of water what temperature

What is the kinetic energy of a cat running 5 m/s

dusya [7]

The cat's kinetic energy is

(1/2) x (the cat's mass in kg) x (25 m²/sec²).

The unit is [joules] .

4 0

3 years ago

At an outdoor market, a bunch of bananas is set on a spring scale to measure the weight. The spring sets the full bunch of banan

Elina [12.6K]

Answer:

2.67kg

Explanation:

The maximum velocity, $v _ {max}$ of a body experiencing simple harmonic motion is given by equation (1);

$v_{max}=\omega A............(1)$

where $\omega$ is the angular velocity and A is the amplitude.

The problem describes the oscillation of a loaded spring, and for a loaded spring the angular velocity is given by equation (2);

$\omega=\sqrt{\frac{k}{m}}.................(2)$

where k is the force constant of the spring and m is the loaded mass.

We can make $\omega$ the subject of formula in equation (1) as follows;

$\omega=\frac{v_{max}}{A}.................(3)$

We then combine equations (2) and (3) as follows;

$\frac{v_{max}}{A}=\sqrt{\frac{k}{m}}.................(4)$

According to the problem, the following are given;

$v_ {max }=1.92m/s\\A=0.21m\\k=223N/m$

We then substitute these values into equation (4) and solve for the unknown mass m as follows;

$\frac{1.92}{0.21}=\sqrt{\frac{223}{m}}$

$9.143=\sqrt{\frac{223}{m}}$

Squaring both sides, we obtain the following;

$9.143^2=\frac{223}{m}\\9.143^2*m=223\\83.592m=223\\therefore\\m=\frac{223}{83.592}\\m=2.67kg$

8 0

3 years ago

Which of the following is a device that converts electrical energy into mechanical energy? A. Generator B. Transformer C. Magnet

kaheart [24]

A generator transforms mechanical into electrical, a transformer reduces/increases the voltage of an alternating current, a magnet attracts metal, and a motor converts electrical energy into mechanical energy.
So, the answer is Motor.

8 0

3 years ago

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A size-5 soccer ball of diameter 22.6 cm and mass 426 g rolls up a hill without slipping, reaching a maximum height of 5.00 m ab

Drupady [299]

Answer

According the conservation of energy

$\dfrac{1}{2}mv_i^2+\dfrac{1}{2}I\omega_i^2+0 = mgh + 0$

I for ball = $\dfrac{2}{3}mr^2$

$\dfrac{1}{2}mv_i^2+\dfrac{1}{2} \dfrac{2}{3}mr^2\omega_i^2= mgh$

$\omega_i = \dfrac{v_i}{r}$

$v_i^2+\dfrac{2}{3}r^2(\dfrac{v_i}{r})^2 = 2gh$

$v_i^2+\dfrac{2}{3}v_i^2 = 2gh$

$v_i^2+[1+\dfrac{2}{3}]=2gh$

$v_i^2\dfrac{5}{3}=2gh$

$v_i=\sqrt{\dfrac{6gh}{5}}=\sqrt{\dfrac{6\times 9.8\times 5}{5}}$

$v_i = 7.67\ m/s$

a) $\omega_i = \dfrac{v_i}{R}$

$\omega_i = \dfrac{7.67}{0.113}$

$\omega_i =67.87\ rad/s$

b) $K_{rot} = \dfrac{1}{2}\dfrac{2}{3}mR^2\omega_i^2$

$K_{rot} = \dfrac{1}{3}\times 0.426\times 0.112^2\times 67.87^2$

$K_{rot} = 8.205\ J$

4 0

3 years ago

The rotational kinetic energy term is often called the kinetic energy in the center of mass, while the translational kinetic ene

Nataliya [291]

Question in proper order

The rotational kinetic energy term is often called the kinetic energy in the center of mass, while the translational kinetic energy term is called the kinetic energy of the center of mass.

You found that the total kinetic energy is the sum of the kinetic energy in the center of mass plus the kinetic energy of the center of mass. A similar decomposition exists for angular and linear momentum. There are also related decompositions that work for systems of masses, not just rigid bodies like a dumbbell.

It is important to understand the applicability of the formula

$Ktot=Kr+Kt$

Which of the following conditions are necessary for the formula to be valid?

a. The velocity vector $v$ must be perpendicular to the axis of rotation

b.The velocity vector $v$ must be perpendicular or parallel to the axis of rotation

c. The moment of inertial must be taken about an axis through the center of mass

Answer:

Option c

Explanation:

$K_{total} = K_{rotational}+K_{translational}$

The first two conditions are untrue, this is because, you can have rotation in any direction and translation in any direction of any collection of masses. Rotational and translational velocities of masses do not depend on each other

The last statement is true because by definition, the moment of inertia, which is a measure of reluctance, is usually taken about a reference point which is the center of mass

4 0

3 years ago

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