Explanation:
Given that,
Mass of the shopping cart, 
Initial speed of the shopping cart, 
Mass of the box, 
Initial speed of the box,
(at rest)
They stick together and continue moving at a new velocity. It is a case of inelastic collision.
(a) The momentum of the shopping cart before the collision is given by :

(b) The momentum of the box before the collision is given by :

(c) The velocity of the combined shopping cart/box wreckage after the collision is given by using the conservation of momentum as :

Hence, this is the required solution.
Answer: 54.55 m/s
Explanation:
Distance = 300 m
Time = 5.5 s
Average Speed = Total Distance/Total Time
= 300/5.5
= <u>54.55 m/s</u>
Hope this helped..
Positive - Friction allows us to create heat in a desperate situation, like being lost in the woods. If we didn't have friction, we would probably freeze to death.
Negative - Friction can also cause unwanted fires, such as forest fires. If friction didn't exist, we wouldn't have these.
Answer:
4.24m/s
Explanation:
Potential energy at the top= kinetic energy at the button
But kinetic energy= sum of linear and rotational kinetic energy of the hoop
PE= mgh
KE= 1/2 mv^2
RE= 1/2 I ω^2
Where
m= mass of the hoop
v= linear velocity
g= acceleration due to gravity
h= height
I= moment of inertia
ω= angular velocity of the hoop.
But
I = m r^2 for hoop and ω = v/r
giving
m g h = 1/2 m v^2 + 1/2 (m r^2) (v^2/r^2) = 1/2 m v^2 + 1/2 m v^2 = m v^2
and m's cancel
g h = v^2
Hence
v= √gh
v= √10×1.8
v= 4.24m/s