Explanation:
You can simply subtract the atomic number from the mass number in order to find the number of neutrons. If the atom is neutral, the number of electrons will be equal to the number of protons.
Remember!
1. Your mass number is the total number of neutrons and protons within the atom.
2. Your atomic number is the amount of protons within the atom.
3. For neutral atoms, the electron number is the same as the atomic number.
Answer:
Explanation:
given,
radius of earth = 6378 km
distance separating the center of the earth and moon = 384400 km
we know acceleration due to gravity
hence, the weight of earth compared to the your weight on earths surface is equal to 2 × 10⁻⁴ g.
Answer:
F = 35651 [N]
Explanation:
To solve this problem we must use the following equation of kinematics
where:
Vf = final velocity = 185 [m/s]
Vo = initial velocity = 0 (starts from the rest)
a = acceleration [m/s²]
x = distance = 3.6 [m]
Now we can find the acceleration.
185² = 0 + 2*a*3.6
34225 = 7.2*a
a = 4753.47 [m/s²]
Now we must use Newton's second law which tells us that the total force on a body is equal to the product of mass by acceleration.
F = m*a
where:
m = mass = 7.5 [kg]
F = force [N] (units of Newtons)
F = 7.5*4753.47
F = 35651 [N]
Answer:
The acceleration of the ball's center of mass = 2.94 m/s²
Explanation:
The speed of the ball at the base of the ramp, v = 2.63 m/s
Mass of the ball = 1.75 kg
Radius of the ball, R = 40 cm = 0.4 m
In this motion, potential energy due to the height of the ball is converted to linear angular kinetic energy
Based on the law of energy conservation
Potential energy = Linear KE + angular KE
KE = kinetic Energy
Linear KE = 0.5 mv²
Linear KE = 0.5 * 1.75 * 2.63²
Linear KE = 6.052 J
Angular KE = 0.5 Iω²
I = 2/ 3 MR² = 0.667 * 1.75 * 0.4²
I = 0.187 N.s
ω = V/R = 2.63/0.4
ω = 6.575 Rad/s
Angular KE = 0.5 * 0.187 * 6.575²
Angular KE = 4.04 J
PE = mgh = 1.75 * 9.8 * h = 17.15h
Using the law of energy conservation
17.15h = 6.052 + 4.04
h = 10.092/17.15
h = 0.589 m
Using the equation of motion