The acceleration that the same force will provide if both masses are tied together is; 6.0 m/s².
<h3>How to find the Acceleration?</h3>
We are given;
Force; F = 5 N
Acceleration of the first mass, a₁ = 8.0 m/s²
Acceleration of the second mass, a₂ = 24 m/s²
Formula for force is;
F = ma
Let us find both masses; m₁ and m₂.
m₁ = F/a₁
m₂ = F/a₂
Thus;
m₁ = 5/8 kg
m₂ = 5/24 kg
Total mass is; m = m₁ + m₂
m = 5/8 + 5/24
m = 15 + 5/24
m = 20/24 kg
Thus, acceleration if they are both tied together is;
a = F/m
a = 5/(20/24)
a = 6.0 m/s².
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Answer:
Approximately
.
(Assuming that
.)
Explanation:
The mechanical energy of an object is the sum of its potential energy and its kinetic energy. It will be shown that the exact mass of this object doesn't matter. For ease of calculation, let
represent the mass of the book.
The initial potential energy of the book is
.
The book was initially at rest when it was released. Hence, its initial kinetic energy would be zero. Hence, the initial mechanical energy of the book-Earth system would be
.
When the book was about to hit the ground, its speed is
. Its kinetic energy would be:
.
The question implies that the potential energy of the book near the ground is zero. Hence, the mechanical energy of the system would be
when the book was about to hit the ground.
The amount of mechanical energy lost in this process would be equal to:
.
Divide that with the initial mechanical energy of the system to find the percentage change. Note how the mass of the book,
, was eliminated in this process.
.
Answer:
<em>171.5m</em>
Explanation:
The velocity of sound in water = 343m/s
Time taken = 1.00secs
using the formula to calculate the distance
2x = vt
x is the distance
v is the speed of sound
t is the time
x = vt/2
x = 343(1)/2
x = 171.5m
<em>hence their separation 1.00 s after the second object is released is 171.5m</em>
Answer:
longer
Explanation:
The relationship between the solar day and sidereal is as follows:
The length of the sidereal day is
= (Solar day) (solar year ÷ solar year + 1 day)
As it can be seen that the day i.e. solar its length would be greater as compared with the sidereal day.
In the case when the earn orbited the sun in 9 months rather than 12 so here the sidereal day would be the similar but the solar day would be longer as compared with the original one