Answer:
v = √[gR (sin θ - μcos θ)]
Explanation:
The free body diagram for the car is presented in the attached image to this answer.
The forces acting on the car include the weight of the car, the normal reaction of the plane on the car, the frictional force on the car and the net force on the car which is the centripetal force on the car keeping it in circular motion without slipping.
Resolving the weight into the axis parallel and perpendicular to the inclined plane,
N = mg cos θ
And the component parallel to the inclined plane that slides the body down the plane at rest = mg sin θ
Frictional force = Fr = μN = μmg cos θ
Centripetal force responsible for keeping the car in circular motion = (mv²/R)
So, a force balance in the plane parallel to the inclined plane shows that
Centripetal force = (mg sin θ - Fr) (since the car slides down the plane at rest, (mg sin θ) is greater than the frictional force)
(mv²/R) = (mg sin θ - μmg cos θ)
v² = R(g sin θ - μg cos θ)
v² = gR (sin θ - μcos θ)
v = √[gR (sin θ - μcos θ)]
Hope this Helps!!!
Answer:
1410 Hz
Explanation:
Capacitance is reduced by 2, so the angular frequency will increase by a factor of 
.
Given two objects of the same mass but of different sizes, the one that has a greater density is: a. the smaller object
Due to the density of an object is the relation that exist between the mass and the space that the object occupies, if we have two objects with the same mass the one that is going to have a greater density is the smaller object because it occupies less space with more mass.
We can prove it using the density formula to solve the following exercise:
Two objects have a mass of 100 g, and their volume are 20 cm³ and 10 cm³ respectively, what is the density of each one?
The general formula of the density is:
d = m/v
Where:
- d= density
- m= mass
- v= volume
Information about the problem:
- m = 100 g
- v1= 20 cm³
- v2=10 cm³
- d1=?
- d2?
Applying the density formula we get:
d = m/v
d1 = 100g/20 cm³
d1 = 5g/cm³
d2 = 100g/10 cm³
d2 = 10g/cm³
With the results we can confirm that the object that has the greater density is the smaller, because it has less volume.
<h3>What is density?</h3>
It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
Learn more about density in: brainly.com/question/1354972
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Answer:
Work occurs when a force acts on an object and causes a displacement of that object.
Explanation:
a . Force applying over a distance or in other words force causing the movement (displacement) of an object is known as Work.
b. An activity with mental or physical effort is done in order to achieve a result is called work.
c. A constant force integrates the product of the force and distance.
Ex : 1) when the body moves in the direction of force
2) shooting a bullet
3) Pushing a car horizontally from rest
4)walking up stairs
5) sawing a log.
