Answer:
Explanation:
The centripetal acceleration of an object in circular motion is the acceleration with which the object is attracted towards the center of the circular orbit. Mathematically, it is given by
where
v is the speed of the object
r is the radius of the orbit
The speed of the object is also given by the ratio between the circumference of the orbit and the orbital period, T:
Substituting into the previous equation, we find a new expression for the centripetal acceleration:
In this problem:
- The radius of the orbit of the Moon is
- The period of the orbit is
Therefore, the centripetal acceleration is:
Answer:
Explanation:
Two identical sticky masses m are moving in the xy-plane, with their momenta at an angle of φ with one another. They are each moving at the same speed v when they collide at the origin of the coordinates and stick together. After the collision, the masses move at an angle −θ2 with respect to the +x axis at speed v2 .1. What was the angle φ?
from the principle of momentum
In a system of colliding bodies,we know that the total momentum before collision will equal to the total momentum after collision.
Take note that momentum is the product of mass and velocity
momentum before collision=momentum after collision
mass, m
u=initial velocity of the identical masses
v2=the common velocity after the collision
Note that the collision is inelastic , since they both moved with the same velocity
umcosφ+umcosφ=(m+m)v2cos−θ2
2mucosφ=2mv2cos−θ2
Answer:
22m/s
Explanation:
Mass, m=60 kg
Force constant, k=1300N/m
Restoring force, Fx=6500 N
Average friction force, f=50 N
Length of barrel, l=5m
y=2.5 m
Initial velocity, u=0
Substitute the values
m
Work done due to friction force
We have 
Substitute the values
Initial kinetic energy, Ki=0
Initial gravitational energy, 
\
Initial elastic potential energy
Final elastic energy,
Final kinetic energy, 
Final gravitational energy, 
Final gravitational energy, 
Using work-energy theorem
Substitute the values
Inductor releases its stored energy before it is removed from the circuit.
<h3>What is an inductor?</h3>
- A passive two-terminal electrical device known as an inductor, also known as a coil, choke, or reactor, stores energy in a magnetic field as electric current passes through it.
- Typically, an inductor is made out of insulated wire twisted into a coil. According to Faraday's law of induction, the time-varying magnetic field generates an electromotive force (e.m.f.) (voltage) in the conductor as the current through the coil varies.
- Lenz's law states that the induced voltage has an opposing polarity (direction) to the change in current that caused it. Inductors so reject any changes in the current flowing through them.
- Inductance, which is the ratio of voltage to current change rate, is a property of inductors.
To know more about inductors, refer:
brainly.com/question/4425414
#SPJ4
Answer:
0.229 seconds
Explanation:
Given:
y₀ = 80.6 m
v₀ = 0 m/s
a = -9.8 m/s²
We need to find the difference in times when y = 10.8 m and y = 2.10 m.
When y = 10.8 m:
y = y₀ + v₀ t + ½ at²
10.8 = 80.6 + (0) t + ½ (-9.8) t²
10.8 = 80.6 − 4.9 t²
4.9 t² = 69.8
t = 3.774
When y = 2.10 m:
y = y₀ + v₀ t + ½ at²
2.10 = 80.6 + (0) t + ½ (-9.8) t²
2.10 = 80.6 − 4.9 t²
4.9 t² = 78.5
t = 4.003
The difference is:
4.003 − 3.774 = 0.229
The man has 0.229 seconds to get out of the way.
