4. A ball m1 of mass 1 kg starts at rest, and experiences a net force in the vertical direction given by F(t) = 30t – 20 for 2 seconds. The ball then travels a height H = 5 m under the influence of gravity, then collides elastically with a block m2 of mass 2 kg, which is attached to a spring of k = 200 N/m. The block is in equilibrium when the collision happens. k = 200 N/m a. What is the velocity of the ball at point A, after the force F(t) acts on it? m2 = 2kg В b. What is the velocity of the ball just before collision, i.e., at point B? c. What are the velocities of the ball and the block just after the collision? H= 5 m d. How much is the spring stretched in equilibrium? How much spring potential energy is stored in the spring? e. What is the maximum height the block reaches, measured from the natural length of the spring? A F(t) acts for 2

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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4. A ball m1 of mass 1 kg starts at rest, and experiences a net force in the
vertical direction given by F(t) = 30t – 20 for 2 seconds. The ball then
travels a height H = 5 m under the influence of gravity, then collides
elastically with a block m2 of mass 2 kg, which is attached to a spring of
k = 200 N/m. The block is in equilibrium when the collision happens.
k = 200 N/m
a. What is the velocity of the ball at point A, after the force F(t) acts
on it?
m2 = 2kg
b. What is the velocity of the ball just before collision, i.e., at point B?
c. What are the velocities of the ball and the block just after the collision?
H= 5 m
d. How much is the spring stretched in equilibrium? How much spring
potential energy is stored in the spring?
e. What is the maximum height the block reaches, measured from the
natural length of the spring?
A
F(t) acts for 2
seconds before
point A
m¡ = 1kg
Transcribed Image Text:4. A ball m1 of mass 1 kg starts at rest, and experiences a net force in the vertical direction given by F(t) = 30t – 20 for 2 seconds. The ball then travels a height H = 5 m under the influence of gravity, then collides elastically with a block m2 of mass 2 kg, which is attached to a spring of k = 200 N/m. The block is in equilibrium when the collision happens. k = 200 N/m a. What is the velocity of the ball at point A, after the force F(t) acts on it? m2 = 2kg b. What is the velocity of the ball just before collision, i.e., at point B? c. What are the velocities of the ball and the block just after the collision? H= 5 m d. How much is the spring stretched in equilibrium? How much spring potential energy is stored in the spring? e. What is the maximum height the block reaches, measured from the natural length of the spring? A F(t) acts for 2 seconds before point A m¡ = 1kg
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