A block is released from the top of a frictionless incline plane as pictured above. If the total distance travelled by the block
is 1.2 m to get to the bottom, calculate how fast it is moving at the bottom using Conservation of Energy.
1 answer:
Complete Question
The diagram for this question is showed on the first uploaded image (reference homework solutions )
Answer:
The velocity at the bottom is
Explanation:
From the question we are told that
The total distance traveled is
The mass of the block is
The height of the block from the ground is h = 0.60 m
According the law of energy
Where PE is the potential energy which is mathematically represented as
substituting values
So
KE is the kinetic energy at the bottom which is mathematically represented as
So
substituting values
=>
=>
=>
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Answer:
0.76
Explanation:
we are given:
radius (r) =5.7 m
speed (s) = 1 revolution in 5.5 seconds
acceleration due to gravity (g) = 9.8 m/s^{2}
coefficient of friction (Uk) = ?
we can get the minimum coefficient of friction from the equation below
centrifugal force = frictional force
m x r x ω^{2} = Uk x m x g
r x ω^{2} = Uk x g
Uk =
where ω (angular velocity) =
= = 1.14
Uk = = 0.76
Missing figure and missing details can be found here:
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Solution:
(a) The work done by the spring is given by
where k is the elastic constant of the spring and
is the stretch between the initial and final position. Since x1=-8 in=-0.203 m and x2=5 in=0.127 m, we have
(b) The work done by the weight is the product of the component of the weight parallel to the inclined plane and the displacement of the cart:
where the negative sign is given by the fact that
points in the opposite direction of the displacement of the cart, and where
therefore, the work done by the weight is
<span>http://d2vlcm61l7u1fs.cloudfront.net/media%2Fdd5%2Fdd5b98eb-b147-41c4-b2c8-ab75a78baf37%2FphpEgdSbC....
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Solution:
(a) The work done by the spring is given by
where k is the elastic constant of the spring and
(b) The work done by the weight is the product of the component of the weight parallel to the inclined plane and the displacement of the cart:
where the negative sign is given by the fact that
therefore, the work done by the weight is
Answer:
a) , b)
Explanation:
a) The equation for vertical velocity is obtained by deriving the function with respect to time:
The velocities at given instants are, respectivelly:
Explanation:
weight=mass×g
32=mass×8.25
mass=
kg