Answer:
70.6 mph
Explanation:
Car A mass= 1515 lb
Car B mass=1125 lb
Speed of car B is 46 miles/h
Distance before locking, d=19.5 ft
Coefficient of kinetic friction is 0.75
Initial momentum of car B=mv where m is mass and v is velocity in ft/s
46 mph*1.46667=67.4666668 ft/s
Initial momentum of car A is given by
where
is velocity of A
Taking East as positive and west as negative then the sum of initial momentum is
The common velocity is represented as
hence after collision, the final momentum is
From the law of conservation of linear momentum, sum of initial and final momentum equals each other hence
The acceleration of two cars
From kinematic equation
hence
Substituting the value of
in equation
<span>About one-third of the toxic metal, mercury (hg), is released into the air from natural sources, such as rocks, soil, volcanoes, and the ocean. the remaining two-thirds comes from human activities.</span><span />
Assuming you mean "x" to be "horizontal" and "y" to be "vertical", the 1.20 m is y.
The initial vertical velocity is 0.
How long does it take for something to fall 1.20 m from rest? That's the time the mug is in the air.
The initial vertical velocity is 0. How long does it take for something to fall 1.20 m from rest? That's the time the mug is in the air.
The initial horizontal velocity is 1.50 m/s. Ignoring air resistance, that's going to be constant. Once you know how long the mug is in the air, multiply that time by 1.50 m/s and you've got the horizontal distance from the end of the bar, and you're done.
Answer:
Yes, if the carts are travelling into opposite directions
Explanation:
The total momentum of a two carts system is the sum of the momenta of the individual carts:
![p=p_1 +p_2 = m_1 v_1 + m_2 v_2](https://tex.z-dn.net/?f=p%3Dp_1%20%2Bp_2%20%3D%20m_1%20v_1%20%2B%20m_2%20v_2)
where
m1, m2 are the masses of the two carts
v1, v2 are the velocities of the two carts
In order to have a total momentum of zero, we must have
(1)
Let's remind that velocity (and so, momentum as well) is a vector quantity: this means that it has a direction, so when summing together the momenta, we must also consider the sign of the velocity, depending on its direction.
Therefore, if the two carts are moving in opposite directions, the signs of the two velocities will be opposite. For example, we can have
![v_1 > 0 \\v_2 < 0](https://tex.z-dn.net/?f=v_1%20%3E%200%20%5C%5Cv_2%20%3C%200)
This means that the condition in eq.(1) can be satisfied, provided that the two carts are travelling into opposite directions.
because that is the right equation
Calculate them and you will know why the correct answer is D