The simple machine in a catapult is a lever, although there can alos be a pulley included. Because t<span>he load and effort are on opposite sides of the fulcrum, they move in opposite directions. This is why catapults can launch objects.</span>
This problem involves Newton's universal law of gravitation and the equation to follow would be.
F = GM₁M₂/r²
Given: M₁ = 0.890 Kg; M₂ = 0.890 Kg; F = 8.06 x 10⁻¹¹ N; G = 6.673 X 10⁻¹¹ N m²/Kg²
Solving for distance r = ?
r = √GM₁M₂/F
r = √(6.673 x 10⁻¹¹ N m₂/Kg²)(0.890 Kg)(0.890 Kg)/ 8.06 x 10⁻¹¹ N
r = 0.81 m
The force required for the car is 5841 N
Explanation:
First of all, we need to find the acceleration of the car, which is given by:
where:
v = 27 m/s is the final velocity of the car
u = 0 is the initial velocity (the car starts from rest)
t = 6 s is the time the car takes to accelerate from u to v
Substituting, we find
Now we can find the force needed to accelerate the car; using Newton's second law of motion,
where:
F is the net force on the car
m = 1298 kg is the mass of the car
is the acceleration
Substituting, we find:
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Answer: the correct answer is 7.8026035971 x 10^(-13) joule
Explanation:
Use Energy Conservation. By ``alpha decay converts'', we mean that the parent particle turns into an alpha particle and daughter particles. Adding the mass of the alpha and daughter radon, we get
m = 4.00260 u + 222.01757 u = 226.02017 u .
The parent had a mass of 226.02540 u, so clearly some mass has gone somewhere. The amount of the missing mass is
Delta m = 226.02540 u - 226.02017 u = 0.00523 u ,
which is equivalent to an energy change of
Delta E = (0.00523 u)*(931.5MeV/1u)
Delta E = 4.87 MeV
Converting 4.87 MeV to Joules
1 joule [J] = 6241506363094 mega-electrón voltio [MeV]
4 mega-electrón voltio = 6.40870932 x 10^(-13) joule
4.87 mega-electrón voltio = 7.8026035971 x 10^(-13) joule
Translational biosensing Sythetic Bioloty P<span>ost-translational biosensing</span>