a) 
, 
The work done by the student in each trial is equal to the gravitational potential energy gained by the student:
where
m = 68 kg is the mass of the student
g = 9.8 m/s^2 is the acceleration of gravity
is the gain in height of the student
For the first student, 
, so the work done is
The second student runs up to the same height (3.5 m), so the work done by the second student is the same:
2) 
, 
The power exerted by each student is given by
where
W is the work done
t is the time taken
For the first student, and 
, so the power exerted is
For the second student, 
and 
, so the power exerted is
Velocity is computed using the formula:
Where:
V = speed
d = distance traveled
t = time/period
First you need to consider that the orbit is circular. To get the measurement or the distance going around Earth, you will need to get the circumference of the path.
Where:
C = circumference
π = 3.14
r = radius
The Earth has a radius of 6,400km, but you also need to consider that the satellite is orbiting above the surface of the Earth, so you add in the 2,000km to that radius.
r = 6,400Km + 2,000Km =
8,400Km
Next step is to insert that into our circumference formula:
The distance traveled would then be
52,778.76KmNow that we have the distance, we can then get the velocity:
The speed of the satellite is
4,398.23km/hr.
Answer: 20.2 m/s
Explanation:
From the question above, we have the following data;
M1 = 800kg
M2 = 1200kg
V1 = 13m/s
V2 = 25m/s
U (common velocity) =?
M1V1 + M2V2 = (M1 + M2). U
(800*13) + (1200*25) = (800+1200) * U
10400 + 30000 = 2000u
40400 = 2000u
U = 40400 / 2000
U = 20.2 m/s
Answer:
Power of the electron beam in the x-ray tube is 2304 W
Explanation:
Given;
voltage of the electron beam in the x-ray tube, V = 144 kV = 144 x 10³ V
current of the electron beam in the x-ray tube, I = 16.0 mA = 16 x 10⁻³ A
Power is given as the product of voltage and current in a circuit.
Power of the electron beam in the x-ray tube, P = V x I
Power of the electron beam in the x-ray tube, P = 144 x 10³ V x 16 x 10⁻³ A
P = 2304 W
Therefore, power of the electron beam in the x-ray tube is 2304 W
As accurately described by Einstein's theory of relativity, gravity is not necessarily a force, but a consequence of the curvature of space time that is caused by the uneven distribution of mass. But this could be understood more easily through Newton's Law of Universal Motion. The equation is shown below:
F = G(m₁m₂/d²), where
F is the gravitational force
G is called Newton's universal gravitation constant equal to 6.673×10⁻¹¹ N m² kg⁻²
m is the mass of the objects 1
d is the distance between the objects
Basing on the equation, the gravitational force depends on the mass the distance between the objects. So, when you compare the gravitational pull between Earth and moon. you do not need to include the effect of distance because, together. they have the same amount of d. So, it mainly depends on the masses. Since F is directly proportional to m, the greater the mass, the greater is the pull.
So, the answer is: <span>The Earth has more mass than the moon.</span>
