294000J
Explanation:
Given parameters:
Height of hill = 500m
Mass of Chris = 60kg
Unknown:
Potential energy increase = ?
Solution:
Potential energy is the energy by virtue of the position of a body.
Potential energy = mgh
m is the mass of the bike
g is the acceleration due to gravity
h is the height
At the base of the hill,
P.E = mgh = 60 x 9.8 x 0 = 0J
At the top:
P.E = mgh = 60 x 9.8 x 500 = 294000J
Potential energy increase = 294000J - 0J = 294000J
learn more:
Potential energy brainly.com/question/10770261
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In order to compute the torque required, we may apply Newton's second law for circular motion:
Torque = moment of inertia * angular acceleration
For this, we require the angular acceleration, α. We may calculate this using:
α = Δω/Δt
The time taken to achieve rotational speed may be calculated using:
time = 1 revolution * 2π radians per revolution / 3.5 radians per second
time = 1.80 seconds
α = (3.5 - 0) / 1.8
α = 1.94 rad/s²
The moment of inertia of a thin disc is given by:
I = MR²/2
I = (0.21*0.1525²)/2
I = 0.002
τ = 1.94 * 0.002
τ = 0.004
The torque is 0.004
When acceleration is constant, the average velocity is given by

where
and
are the final and initial velocities, respectively. By definition, we also have that the average velocity is given by

where
are the final/initial displacements, and
are the final/initial times, respectively.
Take the car's starting position to be at
. Then

So we have

You also could have first found the acceleration using the equation

then solve for
via

but that would have involved a bit more work, and it turns out we didn't need to know the precise value of
anyway.
So it could follow the correct mass for the atom
The correct answer is, A) Straight line motion
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