Answer:
4.55 x 10⁹m
Explanation:
Given parameters:
Mass of object 1 = 3.1 x 10⁵kg
Mass of object 2 = 6.5 x 10³kg
Gravitational force = 65N
Unknown:
Distance between them = ?
Solution:
To solve this problem, we use the expression below from the universal gravitational law;
Fg = 
G = 6.67 x 10⁻¹¹
65 = 
Distance = 4.55 x 10⁹m
Answer:
<em>The volume of water is 3.5 cubic meter</em>
Explanation:
<u>Density
</u>
The density of a substance or material is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
We are given the density of water as 
.It's required to find the volume of m=3,500 kg of water. Solving for V:
The volume of water is 3.5 cubic meter
Answer:
1.58 Hz
Explanation:
The frequency of the simple pendulum is given by
f = 1/T
= 1/2π√g/l
In this problem, I = 10.0 cm = 0.1 m
f = 1/2π√9.8/0.1
= 1.58 Hz
<span>The component most affected by the collisions is vertical. The ball's vertical will either decrease or increase due to the collision. If the velocity is high during the collsion the ball's vertical will likely be higher and if the ball's velocity is low the vertical will be as well.</span>
Answer:
Explanation:
(ΔK + ΔUg + ΔUs + ΔEch + ΔEth = W)
ΔK is increase in kinetic energy . As the athelete is lifting the barbell at constant speed change in kinetic energy is zero .
ΔK = 0
ΔUg is change in potential energy . It will be positive as weight is being lifted so its potential energy is increasing .
ΔUg = positive
ΔUs is change in the potential energy of sportsperson . It is zero since there is no change in the height of athlete .
ΔUs = 0
ΔEth is change in the energy of earth . Here earth is doing negative work . It is so because it is exerting force downwards and displacement is upwards . Hence it is doing negative work . Hence
ΔEth = negative .
b )
work done by athlete
= 400 x 2 = 800 J
energy output = 800 J
c )
It is 25% of metabolic energy output of his body
so metalic energy output of body
= 4x 800 J .
3200 J
power = energy output / time
= 3200 / 1.6
= 2000 W .
d )
1 ) Since he is doing same amount of work , his metabolic energy output is same as that in earlier case .
2 ) Since he is doing the same exercise in less time so his power is increased . Hence in the second day his power is more .
