Answer:
0.05 m
Explanation:
From the question given above, the following data were obtained:
Mass of first object (M1) = 9900 kg
Gravitational force (F) = 12 N
Mass of second object (M2) = 52000 kg
Distance apart (r) =?
Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
Thus, we can obtain the distance between the two objects as shown below:
F = GM1M2/r²
12 = 6.67×10¯¹¹ × 9900 × 52000 /r²
Cross multiply
12 × r² = 6.67×10¯¹¹ × 9900 × 52000
Divide both side by 12
r² = (6.67×10¯¹¹ × 9900 × 52000)/12
Take the square root of both side
r = √[(6.67×10¯¹¹ × 9900 × 52000)/12]
r = 0.05 m
Therefore, the distance between the two objects is 0.05 m
1. 408.4 J
The work done by a gas is given by:
where
p is the gas pressure
is the change in volume of the gas
In this problem,
(atmospheric pressure)
is the change in volume
So, the work done is
2. 10170 J
The amount of heat added to the water to completely boil it is equal to the latent heat of vaporization:
where
m is the mass of the water
is the specific latent heat of vaporization
The initial volume of water is
and the water density is
So the water mass is
So, the amount of heat added to the water is
Let us say that triangle XYZ has sides of XY, YZ, and ZX.
Each of the corners X, Y, and Z are located at their own
(x, y) points.
If all of the triangle are transformed through
translation by a movement of 2 units left and 1 unit down on the coordinate
plane then we generate a triangle X’Y’Z’.
Then each of the corners X’, Y’ and Z’ are now located at
(x – 2, y – 1) coordinates.
Since all of the corners were moved then we can also say
that:
XY is congruent to X’Y’
YZ is congruent to Y’Z’
ZX is congruent to Z’X’
Since all sides are congruent, therefore all angles are
also congruent.
Therefore the measure of angle x’ is equal to the measure
of angle x.
Answer:
<span>40 degrees</span>
Kinetic energy = 1/2 * mass * velocity^2
In this case,
KE = 1/2 * 1569 kg * (15 (m/s))^2 = 176,5 kN
Answer:
0.076 kg
Explanation:
The force created by gravity can be found using mass x (9.8 m/s^2).
mg=0.750 N
m(9.8) = 0.750
Multiply both sides by 9.8: m = 0.076 kg
