Answer:
option (E) 1,000,000 J
Explanation:
Given:
Mass of the suspension cable, m = 1,000 kg
Distance, h = 100 m
Now,
from the work energy theorem
Work done by the gravity = Work done by brake
or
mgh = Work done by brake
where, g is the acceleration due to the gravity = 10 m/s²
or
Work done by brake = 1000 × 10 × 100
or
Work done by brake = 1,000,000 J
this work done is the release of heat in the brakes
Hence, the correct answer is option (E) 1,000,000 J
Answer:
v = 83.1 % of speed of light
Explanation:
given,
T_e is the earth time = 2.7 s
T_s is the ship time = 1.5 s
we know,
where c is the speed of light
v is the speed of the rock star moving
squaring both side
v = 0.831 c
v = 83.1 % of speed of light
Explanation:
Buoyancy force is equal to the weight of the displaced fluid:
B = ρVg
where ρ is the density of the fluid,
V is the volume of the displaced fluid,
and g is the acceleration due to gravity.
The fluid is water, so ρ = 1000 kg/m³.
The volume displaced is that of a sphere with radius 2 m:
V = 4/3 π r³
V = 4/3 π (2 m)³
V ≈ 33.5 m³
The buoyancy force is therefore:
B = (1000 kg/m³) (33.5 m³) (9.8 m/s²)
B ≈ 328,400 N
Round as needed.
Answer:
The target was higher than the cannon
Explanation:
Given that a cannon ball is launched with initial speed 56 m/s, and hits a target at speed 35 m/s.
The initial velocity must be 56 m/s, while the final velocity will be 35 m/s.
When an object is thrown upward with an initial velocity, the object continues to move upwards with decreasing in magnitude of velocity till it reaches the maximum height where the final velocity will be equal to zero.
In this question, since the final velocity is less than the initial velocity, we can conclude that the target is higher.
Therefore, the target was higher than the cannon.
