Answer:
Position A/Position E
, 
Position B/Position D
, 
, for 
Position C
, 
Explanation:
Let suppose that ball-Earth system represents a conservative system. By Principle of Energy Conservation, total energy (
) is the sum of gravitational potential energy (
) and translational kinetic energy (
), all measured in joules. In addition, gravitational potential energy is directly proportional to height (
) and translational kinetic energy is directly proportional to the square of velocity.
Besides, gravitational potential energy is increased at the expense of translational kinetric energy. Then, relative amounts at each position are described below:
Position A/Position E
,
Position B/Position D
, , for
Position C
,
Answer:
IV: speed of the fan
DV: time of cup ascent
Explanation:
Kinetic energy is the energy of mass in motion. The kinetic energy of an object is the energy it has because of its motion. As the speed of the fan increases, so does the kinetic energy, then it transfers energy to the Cup ascent.
Answer:
(1) 2.25m/s^2
(2) 45.6m
Explanation:
(1) A car accelerates uniformly from 12m/s to 39m/s in 12 seconds
Therefore the average acceleration can be calculated as follows
a = 39-12/12
a = 27/12
a= 2.25m/s^2
(2) A butterfly is flying at 4m/s , it accelerates uniformly at 1.2 m/s for 6 seconds
u= 4
a= 1.2
t= 6
Therefore the distance can be calculated as follows
S= ut + 1/2at^2
= 4×6 + 1/2 × 1.2 × 6^2
= 24 + 1/2 × 1.2 × 36
= 24 + 1/2 × 43.2
= 24 + 21.6
S = 45.6m
Hence the butterfly travels at 45.6m
Weight on the Moon = 291 N.
W = g · m, where m stays for the mass and on the Moon g = 1.67 m/s²
291 N = 1.67 m/s² · m
m = 291 kg m / s² : 1.67 m/s²
m = 174.25 kg
Weight on Earth = 9.81 m/s² · 174.25 kg = 1,709.4 N
Answer:
The weight of an astronaut on Earth is 1,709.4 N.
