Answer:
0.146 m
Explanation:
f = -KΔL according to Hooke's law
volume of water displaced = mass / density of block since a body will displace equal volume of its own
weight of water displaced = mass of water × acceleration due to gravity
and mass of water = volume of water / density of water
weight of water displaced = Vw × dw × g = mg (dw / dblock)
net force = mg - mg (dw / dblock) = 42.728 - 65.74 = -23.00
it will be balanced by a restoring force of 23 N
ΔL = F / k = 23 / 158 = 0.146 m
Answer:
3.416 m/s
Explanation:
Given that:
mass of cannonball 
= 72.0 kg
mass of performer 
= 65.0 kg
The horizontal component of the ball initially 
= 6.50 m/s
the final velocity of the combined system v = ????
By applying the linear momentum of conservation:
v = 3.416 m/s
Answer:
11 m/s
Explanation:
Draw a free body diagram. There are two forces acting on the car:
Weigh force mg pulling down
Normal force N pushing perpendicular to the incline
Sum the forces in the +y direction:
∑F = ma
N cos θ − mg = 0
N = mg / cos θ
Sum the forces in the radial (+x) direction:
∑F = ma
N sin θ = m v² / r
Substitute and solve for v:
(mg / cos θ) sin θ = m v² / r
g tan θ = v² / r
v = √(gr tan θ)
Plug in values:
v = √(9.8 m/s² × 48 m × tan 15°)
v = 11.2 m/s
Rounded to 2 significant figures, the maximum speed is 11 m/s.
Hello ? What compounds are you referring to ?
