Answer:
38.1 N
Explanation:
The electrostatic force between two charged objects is given by:
![F=k\frac{q_1 q_2}{r^2}](https://tex.z-dn.net/?f=F%3Dk%5Cfrac%7Bq_1%20q_2%7D%7Br%5E2%7D)
where
k is the Coulomb's constant
q1 and q2 are the two charges
r is the separation between the two objects
In this problem, we have
![q_1 = 0.000569 C\\q_2 = 0.00000186 C\\r = 0.5 m](https://tex.z-dn.net/?f=q_1%20%3D%200.000569%20C%5C%5Cq_2%20%3D%200.00000186%20C%5C%5Cr%20%3D%200.5%20m)
so, the electrostatic force is
![F=(9\cdot 10^9 Nm^2 C^{-2})\frac{(0.000569 C)(0.00000186 C)}{(0.5 m)^2}=38.1 N](https://tex.z-dn.net/?f=F%3D%289%5Ccdot%2010%5E9%20Nm%5E2%20C%5E%7B-2%7D%29%5Cfrac%7B%280.000569%20C%29%280.00000186%20C%29%7D%7B%280.5%20m%29%5E2%7D%3D38.1%20N)
Conservation of energy means that initial kinetic energy =maximum gravitational potential energy. 1/2 * 3 * 10^2 = 150J. The gravitational potential energy at the top is 150 joules. The gravitational potential energy is calculated through mgh, so 150 = 3 * 10 * h. Height is 5 meters
Answer:
they meet at distance 25 feet
Explanation:
given data
acceleration of car = 8 ft/s²
truck speed = 10 ft/s
car initial speed u = 0
truck acceleration = 0
to find out
How far from the starting point will car overtake the truck
solution
we apply here equation of motion
s = ut + 0.5 ×a×t² .............1
here s is distance and a is acceleration and t is time u is initial speed
so truck distance
s = 10t + 0.5 ×0×t²
s = 10 t ...............2
and car distance
s = 0+ 0.5 ×8×t²
s = 4×t² ..........................3
so from equation 2 and 3
10 t = 4×t²
t = 2.5 s
so both meet at distance
s = 10 (t)
s = 10 ( 2.5 ) = 25 ft
so they meet at distance 25 feet
Answer : The height is 188 meters
Explanation : When the cart reached at the end from top of hill then the cart have potential energy .
Given that,
Potential energy = 88435 J
Mass of cart = 48 kg
We know that,
The potential energy is
![mgh =88435](https://tex.z-dn.net/?f=mgh%20%3D88435)
![h= \dfrac{88435}{48\times9.8}](https://tex.z-dn.net/?f=h%3D%20%5Cdfrac%7B88435%7D%7B48%5Ctimes9.8%7D)
![h = 187.9 = 188\ meters](https://tex.z-dn.net/?f=h%20%3D%20187.9%20%3D%20188%5C%20meters)
So, the height of the top is 188 meters.