Answer:
26i-28j
Explanation:
Mathematically, rate of change of something with respect to another is obtained through the operation called differentiation. Integration is the reverse process of differentiation.
We know that force is the rate of change of momentum.
that is,
F=
where,
P=momentum
t=time
dP=small change in momentum
dt=small change in time
dP=Fdt (multiplying both sides with dt)
To get change of momentum within a particular time interval, we have to integrate the above expression giving the necessary limits according to the problem.
Here, we have to calculate the change in momentum between 1.0s and 2.0s. So, the limit of integration is 1.0 to 2.0.
Thus,
=
where,
p=momentum at t=1s
P=momentum at t=2s
substituting F in the above equation,
=
= P-p = Change in momentum between 1.0s and 2.0s
= (Since we can integrate each term of an expression separately)
=
=26i-28j
therefore the change in momentum between 1.0s and 2.0s is 26i-28j.
Note: the answer we got is a vector. Because momentum is a vector and therefore change in momentum is also a vector
Answer:
The Sum of mass and energy is always conserved in a nuclear reaction. Mass changes to energy, but the total amount of mass and energy combined remains the same
Explanation:
Every single radioactive decay, every single nuclear collision, every single nuclear reaction will conserve mass number and charge.
Answer:
2.5 cm
Explanation:
Using the relation :
Refractive index = Real Depth / Apparent depth
Refractive index = 1.6
Real depth = 4cm
Virtual depth = apparent depth = x
1.6 = 4cm / x
1.6x = 4
x = 4 / 1.6
x = 2.5
Hence, virtual depth = 2.5cm
Answer:
The distance between the earth and the star is increasing.
Explanation:
When we observe an object and its electromagnetic radiation has been displaced to blue, it means that it is getting closer to us, causing the light waves it emits to get closer together and its wavelength to decrease towards blue, this is knowm as blueshift.
On the contrary, when an object is rapidly moving away from us, the light waves or electromagnetic radiation it emits have been stretched from their normal wavelength to a longer wavelength, towards the red part of the spectrum. This is known as redshift.
This phenomenon of changes in wavelength and frequency due to movement (whether the source approaches or moves away) is described by the Doppler effect.
So for this case because the light we perceive from the star has moved to the red part of the visible spectrum, we can conclude that it is moving away from the earth, and that the distance between the star and the earth is increasing.
Many plutons clump together as they grow through the crust.