The magnitude of force acting on the bumper is 3760 N.
<h3>What is Work energy theorem?</h3>
It states that the Work done in moving a body is equal to the change in kinetic energy of the body
Kinetic energy = 1/2 mv²
Given is a car's bumper designed to withstand 4.32 km/h or 1.2 m/s collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance.
The cushion collapses 0.180 m while bringing 940 kg car to rest from a initial speed of 1.2 m/s
Work done = Force x displacement
As the displacement of the bumper and force acted on it is in same direction, so the work done is
W = Fxcos0° = Fx
The body is coming to rest, so, final velocity is zero. Then, change in kinetic energy will be
ΔK.E = K.Ef - K.Ei
ΔK.E = m/2 (v² - u²)
According to work energy theorem, work done is
W = Fx = m/2 (v² - u²)
Substitute the value and calculate the force,
F = [940 x (0² - 1.2²)] / 2x0.180
F = 3760 N
Thus, the magnitude of force is 3760 N.
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Answer:
Explanation:
Capacitance of the capacitor = 13.5μF
Voltage across plate is 24V
Dielectric constant k=3.55.
a. Energy in capacitor is given by
E=1/2CV^2
We want to calculate energy without the dielectric substance
Given that C=13.5 μF and V=24V
The capacitance give is with dielectric so we need to remove it
C=kCo
Co=C/k
Then the Co=13.5μF/3.55
Co=3.803μF
Then
E=(1/2)×3.803×10^-6×24^2
E=1.1×10^-3J
E=1.1mJ
b. Energy in capacitor is given by
E=1/2CV^2
The capacitance given is with a dielectric, so we are going to apply it direct.
Given that C=13.5 μF and V=24V
Then
E=(1/2)×13.5×10^-6×24^2
E=3.89×10^-3J
E=3.9mJ
c. The energy without dielectric is 1.1mJ and the energy with dielectric is 3.9mJ
The energy increase when the dielectric material is added
d. Dielectrics in capacitors serve three purposes: to keep the conducting plates from coming in contact, allowing for smaller plate separations and therefore higher capacitances;
Therefore, Since dielectric allow higher capacitance, and energy of a capacitor is directly proportional to the capacitance, then the higher the capacitance the higher the energy.
The tension in the upper rope is determined as 50.53 N.
<h3>Tension in the upper rope</h3>
The tension in the upper rope is calculated as follows;
T(u) = T(d)+ mg
where;
- T(u) is tension in upper rope
- T(d) is tension in lower rope
T(u) = 12.8 N + 3.85(9.8)
T(u) = 50.53 N
Thus, the tension in the upper rope is determined as 50.53 N.
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Answer:
After pulses pass through each other, each pulse continues along its original direction of travel, and their original amplitudes remain unchanged.
Explanation:
Constructive interference takes place when two pulses meet each other to create a larger pulse.
