Applying the formula of force equals mass times acceleration, and considering acceleration approximated as g at 10 m/s², the brick possessing the greater mass will hit the ground first due to its superior force that counteracts resistive forces like air resistance.
The acceleration is calculated using the formula a= change in velocity/time. Here, it becomes A=10-0/2, simplifying to A=10/2, resulting in A=5 m/s².
Answer:
$ 18.75
Explanation:
Given:
Dave's car has a capacity of 12 gallons.
If the tank is at 3/8 full prior to filling:
The cost of gasoline per gallon is $2.50.
The volume Dave needs to fill:
=
=
of full tank
=
Dave must fill 7.5 gallons.
Total amount Dave will pay:
7.5 gallons x $2.50 =
$ 18.75
Thus, Dave will spend $ 18.75 to completely fill the tank.
Answer:
A. Yes, the ball clears the crossbar by 2.83 meters
Explanation:
This situation pertains to projectile motion.
The horizontal velocity component of the ball is calculated as 26 cos 35 = 21.3 m/s
The vertical velocity component is 26 sin 35 = 14.9 m/s
The time taken to travel the horizontal distance to the goalpost, which is 54.9 m, is:
= distance / horizontal speed
= 54.9 / 21.3
= 2.577 seconds.
The vertical distance achieved during this time is:
h = ut - 1/2 gt², where u is the initial vertical velocity, and t = 2.577 seconds.
h = 14.9 x 2.577 - 0.5 x 9.8 x (2.577)²
= 38.39 - 32.54
= 5.85 m
Thus, the ball surpasses the crossbar by 5.85 - 3.05 = 2.8 m
<span>The work done corresponds to the potential energy that the person acquires while ascending the stairs.
work = potential energy acquired = mgh
W = 75kg * 9.8m/s² * 2.50m = 1837.5 J</span>
