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Reil [10]
3 years ago
13

Match the following vocabulary terms to their definitions. 1. density a proposed explanation for a scientific problem 2. matter

standard metric unit of mass 3. control standard metric unit of length 4. meter anything that has mass and occupies space 5. hypothesis the mass of a substance per unit volume 6. kilogram a quantity in an experiment that remains unchanged or constant
Physics
2 answers:
zloy xaker [14]3 years ago
7 0
Density - the mass of a substance per unit volume
Matter - anything that has mass and occupies space
Control standard - a quantity that remains unchanged
Meter - metric unit of length
hypothesis - a proposed explanation for a scientific problem
kilogram - metric unit of mass
maw [93]3 years ago
6 0
<span>a proposed explanation for a scientific problem: hypothesis
</span><span>standard metric unit of mass: kilogram
</span><span>standard metric unit of length: meter
</span><span>anything that has mass and occupies space: matter
</span><span>the mass of a substance per unit volume: density
</span><span>a quantity in an experiment that remains unchanged or constant: control</span>
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A 1.25-kg ball begins rolling from rest with constant angular acceleration down a hill. If it takes 3.60 s for it to make the fi
miv72 [106K]

Answer:

The time taken is  \Delta t  = 1.5 \ s

Explanation:

From the question we are told that

   The mass of the ball is  m =  1.25 \ kg

    The time taken to make the first complete revolution is  t= 3.60 s

    The displacement of the first complete revolution is  \theta  =  1 rev  =  2 \pi \  radian

Generally the displacement for one  complete revolution is mathematically represented as

       \theta =  w_i t  +  \frac{1}{2} *  \alpha  * t^2

Now given that the stone started from rest w_i  = 0 \ rad / s

     2 \pi =0   +  0.5*  \alpha  *(3.60)^2

     \alpha   =  0.9698 \  s

Now the displacement for two  complete revolution is

         \theta_2  =  2 *  2\pi

         \theta_2  = 4\pi

Generally the displacement for two complete revolution is mathematically represented as  

     4 \pi =   0  +  0.5 * 0.9698 * t^2

=>   t^2  =  25.9187

=>   t=  5.1 \ s

So

 The  time taken to complete the next oscillation is mathematically evaluated as

     \Delta t  =  t_2  - t

substituting values

      \Delta t  = 5.1 -  3.60

     \Delta t  = 1.5 \ s

           

 

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