1) How is density different than mass?

1 answer:

3 0

Mass is a measure of how much matter there is within an object, typically given in grams. Mass is not affected by gravity, so a given object would have the same mass on earth as in outer space. Density is the amount of mass in an object per a certain amount of volume

You might be interested in

The velocity as a function of time for a car on an amusement park ride is given as v= at^2 +bt, with constants a = 2.0 m/s^3 and

Alex

The position of the car at t=3.0s is 18m from the origin.

the starting point of a quantity at a certain time, let's say t = 0. This is referred to as receiving an "initial condition",

For a car on an amusement park ride, the velocity as a function of time is given by v=at² + bt with constants.

According to the equation above,

A function of time's derivative is a constant.
Time affects the velocity.

v = t² + 2t

Since v = dx/dt

dx/dt = t² + 2t

dx = t²dt + 2tdt

Integrating both sides [ integration{ a^nda } = a^(n+1) / (n+1) ]

So , int [ x⁰dx ] = int [ t²dt ] + 2 int [ t¹dt ] ,

Now,

x¹/1 = t³/3 + 2*( t²/2 )

x = t³/3 + t²

For t = s,

x = 3³/3 + 3²

x= 27/3 + 9 = 18 m .

Learn more about velocity here:

brainly.com/question/19979064

#SPJ1

8 0

1 year ago

A potter spins his wheel at 0.98 rev/s. The wheel has a mass of 4.2 kg and a radius of 0.35 m. He drops a chunk of clay of 2.9 k

Bad White [126]

Answer:

$v_{f,w} = 1.791\,\frac{m}{s}$ , $v_{f,c} = 0.972\,\frac{m}{s}$

Explanation:

The situation can be modelled by applying the Principle of Angular Momentum Conservation:

$I_{w} \cdot \omega_{o} = (I_{w} + I_{c})\cdot \omega_{f}$

The final angular speed is:

$\omega_{f} = \frac{I_{w}}{I_{w}+I_{c}}\cdot \omega_{o}$

$\omega_{f} = \left(\frac{\frac{1}{2}\cdot (4.2\,kg)\cdot (0.35\,m)^{2} }{\frac{1}{2}\cdot (4.2\,kg)\cdot (0.35\,m)^{2} + \frac{1}{2}\cdot (2.9\,kg)\cdot (0.19\,m)^{2}}\right)\cdot (0.98\,\frac{rev}{s} )\cdot \left(\frac{2\pi\,rad}{1\,rev} \right)$