Ou are driving on the highway at a speed of 40 m/s (which is over the speed limit) when you notice a cop in front of you. To avo
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Hi there!
The maximum deformation of the bumper will occur when the car is temporarily at rest after the collision. We can use the work-energy theorem to solve.
Initially, we only have kinetic energy:
KE = Kinetic Energy (J)
m = mass (1060 kg)
v = velocity (14.6 m/s)
Once the car is at rest and the bumper is deformed to the maximum, we only have spring-potential energy:
k = Spring Constant (1.14 × 10⁷ N/m)
x = compressed distance of bumper (? m)
Since energy is conserved:
We can simplify and solve for 'x'.
Plug in the givens and solve.
Answer:
W = 16875 J
Explanation:
We have,
Mass of a motorcycle together with its rider is 150 kg
It is required to find the work is needed to set its movement at 15 metre per second. The work done is given by :
Plugging all the values in above formula such that :
So, the work of 16875 J is needed.
Hi there!
a)
We can find the angular velocity at t = 2.0 s by plugging in this value into the equation.
b)
The angular acceleration is the derivative of the angular velocity, so:
Thus, the angular acceleration is a <u>constant 25 rad/s².</u>