Impulse: a certain amount of force you apply for an amount of time.
Impulse: F*t where F= Force & t=time
Momentum: increasing forward motion.
A ball rolling down a slide gains momentum
p=mv where m=mass and v=velocity
Hope it helps!
~Just an emotional teen who listens to music
Explanation:
First, we need to determine the distance traveled by the car in the first 30 minutes,
.
Notice that the unit measurement for speed, in this case, is km/hr. Thus, a unit conversion of from minutes into hours is required before proceeding with the calculation, as shown below
![d_{\frac{1}{2}\text{h}} \ = \ \text{speed} \ \times \ \text{time taken} \\ \\ \\ d_{\frac{1}{2}\text{h}} \ = \ 80 \ \text{km h}^{-1} \ \times \ \left(\displaystyle\frac{30}{60} \ \text{h}\right) \\ \\ \\ d_{\frac{1}{2}\text{h}} \ = \ 80 \ \text{km h}^{-1} \ \times \ 0.5 \ \text{h} \\ \\ \\ d_{\frac{1}{2}\text{h}} \ = \ 40 \ \text{km}](https://tex.z-dn.net/?f=d_%7B%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Bh%7D%7D%20%5C%20%3D%20%5C%20%5Ctext%7Bspeed%7D%20%5C%20%5Ctimes%20%5C%20%5Ctext%7Btime%20taken%7D%20%5C%5C%20%5C%5C%20%5C%5C%20d_%7B%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Bh%7D%7D%20%5C%20%3D%20%5C%2080%20%5C%20%5Ctext%7Bkm%20h%7D%5E%7B-1%7D%20%5C%20%5Ctimes%20%5C%20%5Cleft%28%5Cdisplaystyle%5Cfrac%7B30%7D%7B60%7D%20%5C%20%5Ctext%7Bh%7D%5Cright%29%20%5C%5C%20%5C%5C%20%5C%5C%20d_%7B%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Bh%7D%7D%20%5C%20%3D%20%5C%2080%20%5C%20%5Ctext%7Bkm%20h%7D%5E%7B-1%7D%20%5C%20%5Ctimes%20%5C%200.5%20%5C%20%5Ctext%7Bh%7D%20%5C%5C%20%5C%5C%20%5C%5C%20d_%7B%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Bh%7D%7D%20%5C%20%3D%20%5C%2040%20%5C%20%5Ctext%7Bkm%7D)
Now, it is known that the car traveled 40 km for the first 30 minutes. Hence, the remaining distance,
, in which the driver reduces the speed to 40km/hr is
.
Subsequently, we would also like to know the time taken for the car to reach its destination, denoted by
.
.
Finally, with all the required values at hand, the average speed of the car for the entire trip is calculated as the ratio of the change in distance over the change in time.
![\text{speed} \ = \ \displaystyle\frac{\Delta d}{\Delta t} \\ \\ \\ \text{speed} \ = \ \displaystyle\frac{100 \ \text{km}}{(0.5 \ \text{hr} \ + \ 1.5 \ \text{hr})} \\ \\ \\ \text{speed} \ = \ \displaystyle\frac{100 \ \text{km}}{2 \ \text{hr}} \\ \\ \\ \text{speed} \ = \ 50 \ \text{km hr}^{-1}](https://tex.z-dn.net/?f=%5Ctext%7Bspeed%7D%20%5C%20%3D%20%5C%20%5Cdisplaystyle%5Cfrac%7B%5CDelta%20d%7D%7B%5CDelta%20t%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Ctext%7Bspeed%7D%20%5C%20%3D%20%5C%20%5Cdisplaystyle%5Cfrac%7B100%20%5C%20%5Ctext%7Bkm%7D%7D%7B%280.5%20%5C%20%5Ctext%7Bhr%7D%20%5C%20%2B%20%5C%201.5%20%5C%20%5Ctext%7Bhr%7D%29%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Ctext%7Bspeed%7D%20%5C%20%3D%20%5C%20%5Cdisplaystyle%5Cfrac%7B100%20%5C%20%5Ctext%7Bkm%7D%7D%7B2%20%5C%20%5Ctext%7Bhr%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Ctext%7Bspeed%7D%20%5C%20%3D%20%5C%2050%20%5C%20%5Ctext%7Bkm%20hr%7D%5E%7B-1%7D)
Therefore, the average speed of the car is 50 km/hr.
<span>It reacts to the </span>motion<span>. If the mass hanging from the pulley was overwhelmingly heavier than the mass on the ramp, it'll obviously pull the ramp mass up and thus </span>friction<span> would be trying to oppose this and vice versa. </span>
Answer:
Black Hole
Explanation:
A black hole is a very dense and massive stellar object, which has a field of gravity so large that not even light can escape it.
Since it does not emit light, <u>we cannot see them directly</u>, hence the name of black hole.
So in this case,<u> if the object has a mass of 8 solar masses that is enough to form a black hole</u>, and <u>also cannot be seen</u>, all of this indicates that the object we are talking about is a black hole.
It should be mentioned that although these objects do not emit light, because it cannot escape due to the immense force of gravity, black holes can be detected by a type of radiation emitted on their event horizon due to quantum effects called Hawking radiation .