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Tcecarenko [31]
3 years ago
7

A mass of 2000 kg is raised 5.0 m in 10 seconds. What is the power output in horsepower to raise the object?

Physics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

The power output in horsepower to raise the object is, P = 13.14 Hp

Explanation:

Given data,

The mass of the object, m = 2000 kg

The object is raised to a height, h = 5.0 m

The time duration of the work, t = 10 s

The force acting on the mass,

                                      F = mg

                                         = 2000 x 9.8

                                         19600 N

The work done on the object is,

                                     W = F x h

                                         = 19600 x 5

                                         = 98000 J

The rate of doing work is defined as the power. It is given by the formula,

                              P = W / t

                                 = 98000 /10

                                 = 9800 Watts

               1 Hp = 745.7 Watts

Therefore,

                            9800 watts = 13.14 Hp

Hence, the power output in horsepower to raise the object is, P = 13.14 Hp

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What is the kinetic energy of a toy truck with a mass of 0.75 kg and a velocity of 4 m/s? (Formula: )
Dvinal [7]

Answer: Option (b) is the correct answer.

Explanation:

Kinetic energy is the energy of an object or particle when it is in motion.

Mathematically,   Kinetic energy = \frac{1}{2}mass \times (velocity)^{2}

It is given that toy truck has mass = 0.75 kg, and velocity = 4 m/s.

Calculate the kinetic energy as follows.

           Kinetic energy = \frac{1}{2}mass \times (velocity)^{2}

                                    = \frac{1}{2}0.75 kg \times (4 m/s)^{2}

                                     = \frac{1}{2}0.75 kg \times 16 m^{2}/s^{2}

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                                     =  6 kg m^{2}/s^{2}

or,       Kinetic energy = 6 joules

Thus, we can conclude that kinetic energy of toy truck is 6 J.


6 0
4 years ago
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If someone throws a 3 gram fry accelerating at 5 meter/second2, what is the fry’s force?
Arada [10]

The force on the fry is 0.015 N

Explanation:

We can find the force acting on the fry by using Newton's second law:

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F is the net force on the fry

m is its mass

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For the fry in this problem,

m=3 g = 0.003 kg

a=5.0 m/s^2

Therefore, the force exerted on the fry is

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3 years ago
A rope is wrapped around the rim of a large uniform solid disk of mass 325 kg and radius 3.00 m. The horizontal disk is made to
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Answer:

The angular speed is 0.13 rev/s

Explanation:

From the formula

\tau = I\alpha

Where \tau is the torque

I is the moment of inertia

\alpha is the angular acceleration

But, the angular acceleration is given by

\alpha = \frac{\omega}{t}

Where \omega is the angular speed

and t is time

Then, we can write that

\tau = \frac{I\omega}{t}

Hence,

\omega = \frac{\tau t}{I}

Now, to determine the angular speed, we first determine the Torque \tau and the moment of inertia I.

Here, The torque is given by,

\tau = rF

Where r is the radius

and F is the force

From the question

r = 3.00 m

F = 195 N

∴ \tau = 3.00 \times 195

\tau = 585 Nm

For the moment of inertia,

The moment of inertia of the solid disk is given by

I = \frac{1}{2}MR^{2}

Where M is the mass and

R is the radius

∴I = \frac{1}{2} \times 325 \times (3.00)^{2}

I = 1462.5 kgm²

From the question, time t = 2.05 s.

Putting the values into the equation,

\omega = \frac{\tau t}{I}

\omega = \frac{585 \times 2.05}{1462.5}

\omega = 0.82 rad/s

Now, we will convert from rad/s to rev/s. To do that, we will divide our answer by 2π

0.82 rad/s = 0.82/2π rev/s

= 0.13 rev/s

Hence, the angular speed is 0.13 rev/s,

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When point charges q = +8.4 uC and q2 = +5.6 uC are brought near each other, each experiences a repulsive force of magnitude 0.6
Bezzdna [24]

Answer:

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Explanation:

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Charge 1, q_1=+8.4\ \mu C=+8.4\times 10^{-6}\ C

Charge 2, q_2=+5.6\ \mu C=+5.6\times 10^{-6}\ C

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Let r is the distance between charges. The formula for the electrostatic force is given by :

F=k\dfrac{q_1q_2}{r^2}

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r = 0.8009 meters

or

r = 0.8 meters

So, the distance between the charges i 0.8 meters. Hence, this is the required solution.

4 0
3 years ago
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