Answer:
The one with highest velocity
Explanation:
The momentum of an object is given by
where
m is the mass of the car
v is the velocity of the car
In this problem, we have two identical cars: identical means they have same mass, so
The momentum of car 1 is
while the momentum of car 2 is
By comparing the two expressions, we see that the car with greatest momentum is the one with highest velocity, since the mass is the same.
8) The height of the shelf is 2.04 m
9) The gravitational potential energy is 100 J
Explanation:
8)
The gravitational potential energy of an object is given by:
where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
For the object in this problem, we have
m = 10 kg
And we know that
PE = 200 J
Therefore we can re-arrange the formula to solve for h, the heigth of the object:
9)
As before, the gravitational potential energy of the object is given by:
where in this case, we have:
m = 10 kg is the mass of the object
h = 2.04 m is the height of the object from the ground
While in this case, the acceleration of gravity on this planet is
Substituting,
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Answer:
F = 1.68 N
Explanation:
Let's solve this exercise in parts.
Let's use the concept of conservation of the mechanical nerve
initial
Em₀ = 500 J
The energy is totally kinetic
Em₀ = K = ½ m v₀²
v₀ =
v₀ = √ (2 500/32)
v₀ = 5.59 m / s
now with kinematics we can find a space
v² = v₀² - 2 a x
the negative sign is because the body is stopping
a =
let's calculate
a = (5.59² - 5.1²) / 2 50
a = 0.0524 m / s²
Finally let's use Newton's second law
F = ma
F = 32 0.0524
F = 1.68 N