Answer:
The kinetic energy of the baseball is 306.25 joules.
Explanation:
SInce the baseball can be considered a particle, that is, that effects from geometry can be neglected, the kinetic energy (
), in joules, is entirely translational, whose formula is:
(1)
Where:
- Mass, in kilograms.
- Speed, in meters per second.
If we know that 
and 
, then the kinetic energy of the baseball thrown by the player is:
The kinetic energy of the baseball is 306.25 joules.
Answer: weight on Jupiter = 869.75 N
mass on Earth = mass on Jupiter = 35.5 Kg
Explanation:
W = mg
W = weight
m = mass
g = gravitational acceleration [ on the Earth, g₁ = 9,8 N/kg ]
On the Earth,
G₁ = m x g₁ = 347,9 N
On the Jupiter,
G₂ = mg₂
mass on the Earth = mass on the Jupiter !
m = G₁ : g = 347.9 N : 9,8 N/kg = 35.5 kg
G2 : G1 = 2.5
G₂ = 2,5 G₁ = 2,5 x 347.9 N = 869,75 N
The object would have a centripetal acceleration <em>a</em> of
<em>a</em> = (12 m/s)² / (0.7 m) ≈ 205.714 m/s²
so that the required tension in the string would be
<em>T</em> = (0.5 kg) <em>a</em> ≈ 102.857 N ≈ 100 N
(rounding to 1 significant digit)
Answer:
-0.7 m/s
Explanation:
Initial velocity (u)= 2.5 m/s
Acceleleration (a)= -0.8 m/s^2
Time taken (t) = 4 seconds
Hence,
v=u+at [1st Equation of motion]
v=2.5+-0.8*4
v=2.5-3.2
v=-0.7 m/s
Note that the negative sign indicates that the ball has changed direction and rolls downwards with gravity
