Answer:
The kinetic energy INCREASES as the roller coaster goes downhill.
Kinetic energy is greatest at POINT 2
Potential energy is greatest at POINT 1
Kinetic energy is decreasing while potential energy is increasing between points 3 AND 4
Which chart comes closest to the relationship between kinetic energy and potential energy at point 6 - CHART OF ANY POINT IN THE SAME HEIGHT AS OF 6
Explanation:
⇒As the potential energy increases , kinetic energy decreases.
⇒Potential energy here is gravitational potential energy.
⇒Thus, more we move away from the centre of the earth , more will be the gravitational potential energy or decrease in kinetic energy
W = 1/2k*x^2.
k = spring constant = 2500 n/m.
x = distance = 4 cm = 0.04m (convert to same units).
W = 1/2(2500)(0.04)^2 = 2J.
Answer:
v_f = 17.4 m / s
Explanation:
For this exercise we can use conservation of energy
starting point. On the hill when running out of gas
Em₀ = K + U = ½ m v₀² + m g y₁
final point. Arriving at the gas station
Em_f = K + U = ½ m v_f ² + m g y₂
energy is conserved
Em₀ = Em_f
½ m v₀ ² + m g y₁ = ½ m v_f ² + m g y₂
v_f ² = v₀² + 2g (y₁ -y₂)
we calculate
v_f ² = 20² + 2 9.8 (10 -15)
v_f = √302
v_f = 17.4 m / s
a) 6.25 rad/s
The law of conservation of angular momentum states that the angular momentum must be conserved.
The angular momentum is given by:
where
I is the moment of inertia
is the angular speed
Since the angular momentum must be conserved, we can write
where we have
is the initial moment of inertia
is the initial angular speed
is the final moment of inertia
is the final angular speed
Solving for , we find
b) 28.1 J and 35.2 J
The rotational kinetic energy is given by
where
I is the moment of inertia
is the angular speed
Applying the formula, we have:
- Initial kinetic energy:
- Final kinetic energy:
Let there be N number of wires.
Maximum tension a wire can withstand = 100 lb
so, Total tension N wires can withstand = 100 N
now, total tension in N wires = Maximum weight of bucket
100 N = W
so, W = 100N
W is the weight of bucket and 100N is its maximum value.
