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melomori [17]
3 years ago
6

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete

ten revolutions, calculate the magnitude of the velocity around the circle. (Note: Remember, 10 revolutions is a counting number and not a measurement.) v=_____ m/s 1.6 m/s 2.5 m/s 5 m/s 16 m/s
Physics
2 answers:
boyakko [2]3 years ago
7 0

Answer: 2.5 m/s

Explanation: The velocity in in uniform circular motion is given by:

v=w^2*r where w is angular frequency

w=2*Pi/T  where T is the period

Finally we can calculate v= (2*Pi)^2/T^2*R   where R=1 m

ch4aika [34]3 years ago
3 0

Answer:

16m/s

Explanation:

The velocity v is given by the following relationship;

v=\omega R.......... (1)

where \omega is the angular velocity and R is the radius of the circular path. Angular velocity is defined as the  number of revolutions made by a body in circular motion per unit time or the angle turned through per unit time. It is measured in radians per second.

Also, the following relationship holds for \omega;

\omega=\theta /t...............(2)

where \theta is the angle turned through and t is the time taken.

Given; t = 4s, number of revolutions n = 10.

The angle turned can be obtained from the number of revolutions  by recalling the following;

1 revolution=2\pi rad\\hence\\10revolutions=10*2\pi rad=20\pi rad

Hence; \theta=20\pi rad

Substituting \theta and t into equation (2), the obtain the angular velocity as follows;

\omega=20\pi/4\\\omega=5\pi rads^{-1

Finally we substitute into equation (1) to obtain the linear velocity v as required.

v=5\pi*1=5\pi m/s

Taking \pi =22/7;

v = 15.7m/s which is approximately 16m/s

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1. A 25.35-g piece of iron absorbs 1562.75 Joules of heat energy, and its temperature
Lera25 [3.4K]

Answer:

Q = C M T        where C is the specific, M the mass, T the temperature change

Note 1 cal = 4.19 Joules

1562.75 J / (4.19 J/cal) = 378 cal

C = Q / (M * T) = 378 cal / (25.35 g * 155 deg C)

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1 year ago
What is the distance traversed by the particle between 0 seconds and 6 seconds?
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Answer:

I dont know to be honest

Explanation:

i dont know to be honest

5 0
3 years ago
7. Two people are pushing a 40.0kg table across the floor. Person 1 pushes with a force of 490N
artcher [175]

Answer:

20.4 m/s^{2}

Explanation:

To start doing this problem, first draw a free body diagram of the table. My teacher always tells us to do this, and I find that it is very helpful. I have attached a free body diagram to this answer- take a look at it.

First, let us see if Net force = MA. To do that, we need to determine whether the object is at equilibrium horizontally. For an object to be at equilibrium, it either needs to be moving at a constant velocity or not moving at all. Also, if an object is at equilibrium, there will not be any acceleration. But we know that there IS acceleration horizontally, so it cannot be in equilibrium. If it is not in equilibrium, we can use the formula ∑F= ma.

Let us determine the net force. Since the object is moving horizontally, we can ignore the weight and normal force, because they are vertical forces. The only horizontal forces we need to worry about are the applied force and force of friction.

Applied force = 1055 N (490 + 565)

Friction force= Unknown

To find the friction force, use the kinetic friction formula, Friction = μkN

μk is the coefficient, which the problem includes- it is 0.613.

N is the normal force, which we have to find.

*To find the normal force, we have to determine if the object is at equilibrium VERTICALLY. Since it has no acceleration vertically (it's not moving up/down), it is at equilibrium. Now, when an object is at equilibrium in one direction, it means that all the forces in that direction are equal. What are our vertical forces? Weight (mg) and Normal force (N). So it means that the Normal force is equal to the Weight.

Weight = mg = (40)(9.8) = 392 N

Normal force = 392 N

Now, plug it back into the formula (μkN): (0.613)(392) = 240.296 N

Friction = 240.296 N

Now that we know the friction, we can find the horizontal net force. Just subtract the friction force, 240.296 from the applied force, 1055 N

Horizontal Net Force: 814.704 N

Now that we know the net force, plug in the numbers for the formula

∑F= ma.

814.704 = (40.0)(a)

*Divide on both sides)

a = 20.3676 m/s^2

Round it to 3 significant figures, to get:

20.4 m/s^{2}

7 0
3 years ago
Which of the following is a form of potential energy? O A. Sound energy O B. Elastic energy O C. Light energy O O O D. Kinetic e
olga55 [171]

Answer:

O C. Light energy

Explanation:

it conducts energy in it and is an energy itself.

6 0
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