A diver who has a mass of 68 kg climbs to a diving platform that is 7.5 m above the surface of a pool. How much gravitational po
2 answers:
Answer: 4,998 J
Explanation:
The gravitational potential energy of an object is given by
where
m is the mass of the object
g is the gravitational acceleration
h is the heigth of the object with respect to a reference point
In this problem, m=68 kg, g=9.8 m/s^2, and h=7.5 m is the heigth of the diver with respect to the surface of the pool. Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is
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Answer:
a) The proton's speed is 5.75x10⁵ m/s.
b) The kinetic energy of the proton is 1723 eV.
Explanation:
a) The proton's speed can be calculated with the Lorentz force equation:
(1)
Where:
F: is the force = 9.14x10⁻¹⁷ N
q: is the charge of the particle (proton) = 1.602x10⁻¹⁹ C
v: is the proton's speed =?
B: is the magnetic field = 3.28 mT
θ: is the angle between the proton's speed and the magnetic field = 17.6°
By solving equation (1) for v we have:
Hence, the proton's speed is 5.75x10⁵ m/s.
b) Its kinetic energy (K) is given by:
Where:
m: is the mass of the proton = 1.67x10⁻²⁷ kg
Therefore, the kinetic energy of the proton is 1723 eV.
I hope it helps you!