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:
x = 45 MPH
Explanation:
given,
Average speed of the first half = 75 MPH
Average speed of entire ride = 60 MPH
Average speed of the second half = ?
let the average speed of the second half = x MPH
now,
average of entire ride is given as 60 mph so,


75 + x = 120
x = 120 -75
x = 45 MPH
hence, the average speed of the second half comes out to be 45 MPH.
I believe the correct response would be true, thermal energy or heat that is produced by friction usually cannot be used to do work.
Answer:
I'm pretty sure it's 49 but then again I don't know
Answer:
Law of Motion/ Law of Inertia
Explanation:
Objects at rest stay at rest unless you're the one to move it.