Answer:
-360 kJ
Explanation:
Given:
m = 800 kg
v₀ = 30 m/s
v = 0 m/s
Δx = 75 m
Find: W
We can solve this using either forces or energy.
To use forces, first find the acceleration.
v² = v₀² + 2aΔx
(0 m/s)² = (30 m/s)² + 2a (75 m)
a = -6 m/s²
Then apply Newton's second law:
∑F = ma
F = (800 kg) (-6 m/s²)
F = -4800 N
Work is force times distance:
W = FΔx
W = (-4800 N) (75 m)
W = -360,000 J
W = -360 kJ
If you want to use energy instead:
work = change in energy
W = ΔKE
W = ½mv² − ½mv₀²
W = ½ (800 kg) (0 m/s)² − ½ (800 kg) (30 m/s)²
W = -360,000 J
W = -360 kJ
To solve this problem we must apply the concepts related to Tangential Acceleration based on angular velocity and acceleration, and therefore, we must also calculate angular velocity based on the given frequency. For all these problems we will take the Units to the International System. The maximum acceleration would then be defined as,
Here,
= Angular velocity
A = Amplitude
At the same time the angular velocity is described as,
Here f means the frequency of the wave. Substituting,
Replacing at the first equation,
Therefore the maximum particle acceleration for a point on the string is 
Answer:
The answers to the question are as follows
The average speed of the aircraft = 112 miles/hr and
the average speed of the van= 57 miles/hr
Explanation:
Speed of the van = X
Speed of the aircraft = Y = 2 × X - 2 miles/hour
Distance covered by van in time t = 171 miles
Distance covered by aircraft in time t = 336 miles
Therefore Y × t = 336 miles and
X × t = 171 miles
Therefore (2·X -2) × t = 336 miles
and t = (171 miles)/X
(2·X -2) × (171 miles)/X = 336 miles
(342·X-342)/X =336 → 6·X = 342
Therefore X = 57 miles/hour
and Y =2×57 -2 = 112 miles/hr
<h3><em>The body's main sources of energy are carbohydrate and fat. At times, protein can serve as an energy source in which the liver removes an amine group from the amino acid.</em></h3>
