A sheet of metal is 2mm wide 10cm tall and 15cm long. it was 4g. what is the density?
1 answer:
Answer:
Ro = 133 [kg/m³]
Explanation:
In order to solve this problem, we must apply the definition of density, which is defined as the relationship between mass and volume.
where:
m = mass [kg]
V = volume [m³]
We will convert the units of length to meters and the mass to kilograms.
L = 15 [cm] = 0.15 [m]
t = 2 [mm] = 0.002 [m]
w = 10 [cm] = 0.1 [m]
Now we can find the volume.
And the mass m = 4 [gramm] = 0.004 [kg]
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Answer:
5.522 m
Explanation:
Data provided:
Mass, m = 1.03 kg
spring constant, k = 861.1 N/m
Distance by which the spring is compressed, x = 0.36
Thus,
the energy stored in the spring =
on substituting the values, we get
the energy stored in the spring =
now,
by the conservation of energy, we have
Potential energy gained by the mass = Energy gained by the spring
or
mgh =
where,
g is the acceleration due to the gravity
h is the maximum height reached by the mass before falling
on substituting the values in the above relation, we get
1.03 × 9.81 × h =
or
h = 5.522 m