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1. Homework Statement
An open container of mass 50.0 kg is rolling to the left at speed of 5.0 m/s on a
frictionless surface. A 15.0 kg box slides down a 37° inclined plane and leaves
the end of the plane with speed of 3.0 m/s. The end of the plane is a vertical
distance of 4.0 m above the bottom of the container (see figure). The box lands
in the container and they roll off together.
a What are the velocity components of the box just before it lands in the container?
b What is the magnitude and direction of the final velocity of the container?
2. Homework Equations
U1+K1=U2+K2
Pi=Pf
3. The Attempt at a Solution
a)U1+K1=U2+K2 (U2=0)
mgh=.5mVo^2=.5mv^2 then i get V=9.35 m/s
b)Vx=(15*7.47)50*5)/65=2.12 m/s
Vy=(15*5.627)/65 = 1.3 m/s
so in (b) i get V=2.12 m/s to the left (removed the Vy because the floor is horizontal)
and in (a) is it right to have U2=0 ?? because the question wasn't specific if the container in the ground or not ,, anyway the picture is in the attachment,,are my answers right ?
An open container of mass 50.0 kg is rolling to the left at speed of 5.0 m/s on a
frictionless surface. A 15.0 kg box slides down a 37° inclined plane and leaves
the end of the plane with speed of 3.0 m/s. The end of the plane is a vertical
distance of 4.0 m above the bottom of the container (see figure). The box lands
in the container and they roll off together.
a What are the velocity components of the box just before it lands in the container?
b What is the magnitude and direction of the final velocity of the container?
2. Homework Equations
U1+K1=U2+K2
Pi=Pf
3. The Attempt at a Solution
a)U1+K1=U2+K2 (U2=0)
mgh=.5mVo^2=.5mv^2 then i get V=9.35 m/s
b)Vx=(15*7.47)50*5)/65=2.12 m/s
Vy=(15*5.627)/65 = 1.3 m/s
so in (b) i get V=2.12 m/s to the left (removed the Vy because the floor is horizontal)
and in (a) is it right to have U2=0 ?? because the question wasn't specific if the container in the ground or not ,, anyway the picture is in the attachment,,are my answers right ?
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