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Luba_88 [7]
3 years ago
15

The vector position of an object is given by r what is the torque acting on the object about the origin when a force f = (−12.5i

hat) n acts on it? express your answer using unit vector notation.

Physics
1 answer:
attashe74 [19]3 years ago
7 0
Let the vector position of the object in the (x-y) plane be 
\vec{r} = x \hat{i} + y \hat{j}

The applied force is
\vec{f} = -12.5 \hat{i}


By definition, the applied torque is
\vec{T} = \vec{r} \times \vec{f} = (x\hat{i} + y\hat{j}) \times (-12.5y \hat{i}) = 12.5\hat{k}

Answer: 12.5y \, \hat{k}

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Two objects of the same mass move along the same line in opposite directions. The first mass is moving with speed . The objects
Alexandra [31]

Explanation:

Let the mass of two objects be m. Both objects move along the same line in opposite directions. Let v and u₂ are speeds of both objects before collision.

After the collision, both objects stick together and move with the speed of 0.1 V the direction of the velocity of the first mass before the collision.

Using the conservation of momentum as :

m_1u_1+m_2u_2=(m_1+m_2)v

V=\dfrac{m_1u_1+m_2u_2}{(m_1+m_2)}

V=\dfrac{m(u_1+u_2)}{(m_1+m_2)}

0.1v=\dfrac{m(v+u_2)}{(2m)}

On solving above equation, u_2=-0.8v

So, the speed of the second mass before the collision is 0.8 v. The negative sign shows that the it moves in opposite direction. Hence, this is the required solution.

6 0
3 years ago
Why does an empty soda bottle float on water and a full soda bottle sank in water?
AlladinOne [14]

Answer:

hope will help you understand it :)

Explanation:

The difference in the amount of dissolved sweeteners leads to a difference in density. Cans of regular soda tend to be more dense than water, so they sink. Cans of diet soda are usually less dense than water, so they float.

3 0
3 years ago
Read 2 more answers
The velocity of the transverse waves produced by an earthquake is 5.08 km/s, while that of the longitudinal waves is 8.3312 km/s
ASHA 777 [7]

Answer:

727.67 km

Explanation:

Sine they have Same distance D

distance = speed * time

D = 5.08t

D = 8.3312(t+55.9)

so

5.08t = 8.3312(t+55.9) t in

3.2512t = 465.71

t = 143.2s

Subtitute t

D=5.08 t

= 5.08 × 143.2

= 727.67km

7 0
3 years ago
The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated
Sedaia [141]

Answer:

60

Explanation:

According to the given question, the computation of minimum coating thickness is shown below:-

The condition for constructive interference is

2t_{min} = (m + \frac{1}{2} )\times \frac{\lambda}{^nmateral}

= (0 + \frac{1}{2} )\times \frac{\lambda}{^nmateral}

t = \frac{\lambda}{4n}

Now we will put the values to the above formula to reach the answer

= \frac{480nm}{4\times 2.0}

= 60

Therefore we simply applied the above formula to determine the minimum coating thickness

6 0
3 years ago
John is riding the bus to the next samuell football game. The bus is traveling to the right at 20 m/s and Jon is walking towards
Elenna [48]

Answer:

Vrel_jon's = 15 [m/s] to the right

Explanation:

Relative velocity is defined as the relative motion between two bodies, taking into account the directions of motion.

Relative velocity is defined as the relative motion between two bodies, taking into account the directions of motion. The relative velocity is defined as the algebraic sum of the velocities, if the movements are opposite the vectors are subtracted, as will be done below.

Vrel = 20 - 5 = 15 [m/s]

A person watching Jon sees him moving to the right at a speed of 15 [m/s]

4 0
3 years ago
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