Answer:
a)1500N
b)153.06kg
Explanation:
F = ma
g(moon) = is the acceleration due to gravity on the moon
g(earth) is the acceleration due to gravity on the earth
g(moon) = 1/6g(earth)
g(earth) =6g(moon)
F(gearth) = mg(earth)
= m 6g(moon)
= 6 × 250
= 1500N
b) F(gearth) = mg(earth)
m = F /g
= 1500/9.8
= 153.06kg
Answer:
Explanation:
340 m/s / 968 cyc/s = 0.3512396... ≈ 35.1 cm
Nothing is accelerating ... it's not even moving. Everything is just sitting there.
That right there tells you that the forces are balanced wherever two things meet,
otherwise something would be accelerating.
At each level where two things meet, there are 2 forces:
-- The gravitational force ... the weight of everything above that place,
and
-- The upward force, exerted by everything below that place.
Here is the stack:
_____________
| Physics ... 2kg | weight = M G = 2 x 9.8 = 19.6 newtons
---------------------
|Calculus ..5 kg | weight = M G = 5 x 9.8 = 49 newtons
---------------------
|Econ . . . .3 Kg | weight = M G = 3 x 9.8 = 29.4 newtons
==================
-------- (Table) ----------
/ \
a). Surface where the table meets the Economics book.
Weight of everything above = (29.4 + 49 + 19.6) = 98 newtons
Upward force exerted on the Econ book by the table = 98 newtons.
b). Surface where the Econ book meets the Calculus book.
Weight of everything above = (49 + 19.6) = 68.6 newtons.
Upward force exerted on the Calc book by the Econ book = 68.6 newtons.
c). Surface where the Calculus book meets the Physics book.
Weight of everything above = 19.6 newtons.
Force exerted on the Physics book by the Calc book = 19.6 newtons.
Answer:
Corresponding raft speed = -0.875 m/s (the minus sign indicates that the raft moves in the direction opposite to the diver)
Explanation:
Law of conservation of momentum gives that the momentum of the diver and the raft before the dive is equal to the momentum of the diver and the raft after the dive.
And since the raft and the diver are initially at rest, the momentum of the diver after the dive is equal and opposite to the momentum experienced by the raft after the dive.
(Final momentum of the diver) + (Final momentum of the raft) = 0
Final Momentum of the diver = (mass of the diver) × (diving velocity of the diver)
Mass of the diver = 73 kg
Diving velocity of the diver = 5.54 m/s
Momentum of the diver = 73 × 5.54 = 404.42 kgm/s
Momentum of the raft = (mass of the raft) × (velocity of the raft)
Mass of the raft = 462 kg
Velocity of the raft = v
Momentum of the raft = 462 × v = (462v) kgm/s
404.42 + 462v = 0
462v = -404.42
v = (-404.42/462) = -0.875 m/s (the minus sign indicates that the raft moves in the direction opposite to the diver)
Hope this Helps!!!
