Answer:
If the force on a cart doubles, the acceleration of the cart doubles.
Explanation:
For this problem, we need to consider the following equation:
Force = Mass x Acceleration
We can reasonably assume that the cart will have constant mass in the given force system. With this assumption we can say the following relationship:
Force is directly proportional to Acceleration within the system.
Given that our force on the cart is doubled, then our acceleration of the cart must also be doubled. You can mathematically express this as follows:
F = MA
2F = M * 2A
Hence, if force doubles, the acceleration doubles.
Cheers.
Answer:
a) S = v₀² / 4 g sin θ
Explanation:
Let's apply Newton's second law, let's take a coordinate system with an axis parallel to the plane and the other perpendicular, in this case the only force that we have to decompose the weight (W)
Wx = W sin θ
Wy = W cos θ
First case. Body slides down
X axis
Wx-fr = 0
Axis y
N -Wy = 0
N = Wy
fr = Wx = W sint θ
Miu N = W sint θ
Miu W cos θ = Wsin θ
Miu = tan θ
Second case. Body raises the plane
X axis
Wx + Fr = m a
Axis y
N-Wy = 0
let's find the acceleration of the body going up
a = (Wx + fr) / m
fr = μ N = μ Wy
fr = μ mg cos θ
a = (mg sin θ + μ mg cos θ) / m
a = g (sin θ + μ cos θ)
a = g (sin θ + tan θ cos θ)
a = g (sin θ + sin θ)
a = g 2 sin 2
With the kinematic equation we find the distance that goes up, at the highest point the zero speed (vf = 0)
Vf² = v₀² - 2 a t S
0 = v₀² -2a S
S = v₀² / 2 a
S = v₀² / 2 (g 2sin θ)
S = v₀² / 4 g sin θ
b) in this case the block tries to slide down whereby the friction force opposes this movement
Wx- fr =, m a
mg sin θ - μ mg cos θ = m a
g (sin θ - μ cos θ) = a
a = g 2 sin θ
so that the body slides depends on the angle T for angles close to zero the body does not slide
Answer:
studies show that our brains are faster at processing opinions we agree with. a crisis is enough to change an attitude about something because a person isn't looking from the outside and is actually experiencing it firsthand which will change them
Answer:
3 outcomes
Explanation:
Since the sum must be less than 7, then one of them cannot be 7 because 7 + something > 7. Also the minimum number is 2 so one of them cannot be 5 either because 5 + 2 = 7 is not less than 7.
So the only options we have here is 2 and 4. The outcome of this is
(2,2) so 2 + 2 = 4 < 7
(2,4) so 2 + 4 = 6 < 7
(4,2) so 4 + 2 = 6 < 7
Note that (4,4) is not possible because 4 + 4 = 8 > 7
So 3 outcomes have a sum less than 7 and contain at least one even number
Answer:
.04 kg m/s
Explanation:
Momentum is simply mass multiplied by velocity given by p = mv. You can consider momentum as mass in motion.
Before the collision, the data given for the toy train:
v = 0.5m/s
m = 75g
We need to convert grams into the SI unit of mass, kg.
75g / 1000g * 1kg = 0.075kg
Using p = mv, we can determine:
p = 0.075kg * 0.5m/s = 0.0375 kg m/s
Rounding to the value of 1 sig-fig, it comes out to be 0.04 kg m/s.