You throw a small bouncy ball of mass mjat a hill of mass mi, that is sloped at an angle e relative to horizontal as indicated in the picture. The ball impacts the hill with an initial velocity vo that is horizontal. During the collision, which lasts from t = 0 until t = t1, the magnitude of the force from the hill on the ball is given by (t) |Fas(t| = F,sin with F1 a constant. The direction of the force is perpendicular to the hill, as indicated in the picture. The direction of the force from the hill on the ball is perpendicular to the hill. Chosen coordinate System

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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You throw a small bouncy ball of mass mjat a hill of mass m, that is sloped at an angle 0
relative to horizontal as indicated in the picture. The ball impacts the hill with an initial
velocity vo that is horizontal. During the collision, which lasts from t = 0 until t = t1, the
magnitude of the force from the hill on the ball is given by
|Fna(t)| = F1sin
t1
with F1 a constant. The direction of the force is perpendicular to the hill, as indicated in
the picture.
The direction of the force from the hill on the
ball is perpendicular to the hill.
Chosen coordinate System
Transcribed Image Text:You throw a small bouncy ball of mass mjat a hill of mass m, that is sloped at an angle 0 relative to horizontal as indicated in the picture. The ball impacts the hill with an initial velocity vo that is horizontal. During the collision, which lasts from t = 0 until t = t1, the magnitude of the force from the hill on the ball is given by |Fna(t)| = F1sin t1 with F1 a constant. The direction of the force is perpendicular to the hill, as indicated in the picture. The direction of the force from the hill on the ball is perpendicular to the hill. Chosen coordinate System
Find the velocity of the hill just after the collision has occurred.
To give a sense of scale for this situation, use the following values for the constants to
substitute into the formulas that you found in parts d and g to find the final velocities of the
ball and hill:
F1 = 15 N, lvol = 15 m/s, t1=0.01 s, 0 = 20°, m1 = 10 g = 0.01 kg, m; = mearth = 5.98 x
1024 kg (the hill is really part of the Earth, so we will use the mass of the Earth).
To see how small the speed of the hill is after the collision, find the amount of time it would
take the hill to travel the diameter of an atom, about 10-10 m.
Transcribed Image Text:Find the velocity of the hill just after the collision has occurred. To give a sense of scale for this situation, use the following values for the constants to substitute into the formulas that you found in parts d and g to find the final velocities of the ball and hill: F1 = 15 N, lvol = 15 m/s, t1=0.01 s, 0 = 20°, m1 = 10 g = 0.01 kg, m; = mearth = 5.98 x 1024 kg (the hill is really part of the Earth, so we will use the mass of the Earth). To see how small the speed of the hill is after the collision, find the amount of time it would take the hill to travel the diameter of an atom, about 10-10 m.
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