Answer:
0.6983 m/s
Explanation:
k = spring constant of the spring = 0.4 N/m
L₀ = Initial length = 11 cm = 0.11 m
L = Final length = 27 cm = 0.27 m
x = stretch in the spring = L - L₀ = 0.27 - 0.11 = 0.16 m
m = mass of the mass attached = 0.021 kg
v = speed of the mass
Using conservation of energy
Kinetic energy of mass = Spring potential energy
(0.5) m v² = (0.5) k x²
m v² = k x²
(0.021) v² = (0.4) (0.16)²
v = 0.6983 m/s
Because they eventually erode and then break and end up forming underwater.
Answer:
<h2>352.8 Joules</h2>
Explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 3 × 9.8 × 12
We have the final answer as
<h3>352.8 J</h3>
Hope this helps you
Answer:
The magnitude of angular acceleration of the motor is
.
Explanation:
Given that,
Initial angular velocity, 
Final angular velocity, 
Angular displacement, 
Let
is the magnitude of the angular acceleration of the motor. It can be calculated using third equation of rotational kinematics as :

So, the magnitude of angular acceleration of the motor is
.
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