A cart of mass M = 0.7 kg is attached to a spring with force constant k = 3 N/m and suspended on a frictionless inclined plane that makes a 20° angle with respect to the horizontal. With the spring in the unstretched position, the cart is released from rest at an initial height of unknown value. What is the maximum extension of the spring,Axmax,when the cart is at its lowest point on the incline (i.e. when the velocity of the car is reduced to zero again after being released)? Hint 1: Write down conservation of mechanical energy for the cart. Don't worry if your expression involves variables that is are not given. Hint 2: How does the height difference hf – h¡ of the cart relate to the extension of the spring Ar?

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A cart of mass M = 0.7 kg is attached to a spring with force constant k = 3 N/m
respect to the horizontal. With the spring in the unstretched position, the cart is
released from rest at an initial height of unknown value. What is the maximum
and suspended on a frictionless inclined plane that makes a 20° angle with
extension of the spring,Axmax,when the cart is at its lowest point on the incline
тах»
(i.e. when the velocity of the car is reduced to zero again after being released)?
Hint 1: Write down conservation of mechanical energy for the cart. Don't worry
if your expression involves variables that is are not given.
Hint 2: How does the height difference hf – h; of the cart relate to the
extension of the spring, Ax?
-
K
4x
M
20°
Transcribed Image Text:%3D A cart of mass M = 0.7 kg is attached to a spring with force constant k = 3 N/m respect to the horizontal. With the spring in the unstretched position, the cart is released from rest at an initial height of unknown value. What is the maximum and suspended on a frictionless inclined plane that makes a 20° angle with extension of the spring,Axmax,when the cart is at its lowest point on the incline тах» (i.e. when the velocity of the car is reduced to zero again after being released)? Hint 1: Write down conservation of mechanical energy for the cart. Don't worry if your expression involves variables that is are not given. Hint 2: How does the height difference hf – h; of the cart relate to the extension of the spring, Ax? - K 4x M 20°
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