
Every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance between them. The forces along the line joining the centre of the two objects.
❍ Let us consider two masses m1 and m2 line at a separation distance d. Let the force of attraction between the two objects be F.
According to universal law of gravitation,

Also,

Combining both, We will get

Or, We can write it as,

Where, G is the constant of proportionality and it is called 'Universal Gravitational constant'.
☯️ Hence, derived !!
<u>━━━━━━━━━━━━━━━━━━━━</u>
Answer:
The total work on the ball is 36.25 Joules
Explanation:
There is an important principle on classical mechanics that is the work-energy principle it states that the total work on an object is equal the change on its kinetic energy, mathematically expressed as:
(1)
With W net the total work, Kf the final kinetic energy and Ki the initial kinetic energy. We're going to use this principle to calculate the total work on the baseball by the force exerted by the bat.
Kinetic energy is the energy related with the movement of an object and every classical object with velocity has some kinetic energy, it is defined as:

With m the mass of the object and v its velocity, knowing this we can use on:
In our case vf is the velocity just after the hit and vi the velocity just before the hit. For an average baseball its mass is 145g that is 0.145 kg, then

Answer:
a =45 m/s2
t = 2 seconds
Explanation:
Hi, to answer this question we have to apply the next formula:
v^2 = u^2 +2 a d
Where:
v = final velocity = 90 m/s
u = initial velocity = 0 m/s (shots from rest)
a = acceleration (m/s2)
d = distance = 90m
90^2 = 0^2 + 2a(90)
Solving for a:
8,100= 180 a
8,100/180 = a
a = 45 m/s^2
For time:
v = u + at
90 = 0 + 45t
90/45=t
t =2 seconds
Lucite has a refractive index of n=1.50. This means that the speed of the light in lucite is decreased according to:

where

is the speed of light in air. Putting the number in the formula, we find that the speed of light in lucite is

The frequency of the light is

, so now we can calculate the wavelength in lucite by using the formula:

<span>Therefore, the correct answer is (2) 393 nm.</span>
Answer: 0.076 m/s
Explanation:
Momentum is conserved:
m v = (m + M) V
(0.111 kg) (55 m/s) = (0.111 kg + 80. kg) V
V = 0.076 m/s
After catching the puck, the goalie slides at 0.076 m/s.