We know from the question that the Mass of the elastic object m = 0.00040 kg
Its Spring Constant is given as k = 40.0 N/m
Velocity required when the object is launched V = 16.0 m/s
Distance the elastic object has to be stretched from the equilibrium x = ?
We can use Conservation of Energy in this case, which tells us that
Elastic Potential Energy stored in the elastic object = Kinetic energy gained by it when released
We see that the 1/2 cancels from both sides and we are left with
Making x the subject of the formula, we have
Plugging in the numbers and solving for x, we get
Therefore, x = 0.05 m
The object has to be stretched by 0.05 m from its equilibrium position.
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vo = 25 m/sec
<span>vf = 0 m/sec </span>
<span>Fμ = 7100 N (Force due to friction) </span>
<span>Fg = 14700 N </span>
<span>With the force due to gravity, you can find the mass of the car: </span>
<span>F = ma </span>
<span>14700 N = m (9.8 m/sec²) </span>
<span>m = 1500 kg </span>
<span>Now, we can use the equation again to find the deacceleration due to friction: </span>
<span>F = ma </span>
<span>7100 N = (1500 kg) a </span>
<span>a = 4.73333333333 m/sec² </span>
<span>And now, we can use a velocity formula to find the distance traveled: </span>
<span>vf² = vo² + 2a∆d </span>
<span>0 = (25 m/sec)² + 2 (-4.73333333333 m/sec²) ∆d </span>
<span>0 = 625 m²/sec² + (-9.466666666667 m/sec²) ∆d </span>
<span>-625 m²/sec² = (-9.466666666667 m/sec²) ∆d </span>
<span>∆d = 66.0211267605634 m </span>
<span>∆d = 66.02 m</span>
Answer:
Waning gibbous.
Explanation:
The same side that you see in one place of the continent at night, you will also see in other place on earth, regardless of the hemisphere. There is however a slight difference, but not ecognizable to the human eye thus Waning Gibbous will also be seen everywhere else in the night sky that night.
Answer:
I = 2.61 A
Explanation:
It is given that,
Power of a toaster is 300 watts
It is plugged into an outlet with a voltage of 115 volts
We need to find the current in the toaster's circuit.
The electrical power is given by the formula as follows :
P = V I
I is electric current
So, 2.61 A of current is in the toaster's circuit.
Answer:
the emf will be
Explanation:
We have given radius of the coil r = 3.6 cm = 0.036 m
So area
Number of turns N = 600
Emf is given by
So the emf will be