Answer:
2.4m/s towards the bowling pins
Explanation:
Given parameters:
Mass of the ball = 6.6kg
Momentum of the ball = 15.9kgm/s
Unknown:
Speed of the ball = ?
Solution:
The momentum is the amount of motion a body posses;
Momentum = mas x velocity
Insert the parameters and solve;
15.9 = 6.6 x velocity
velocity = 2.4m/s towards the bowling pins
i would sat C then the impact is weaker
Answer:
a)
b)
Explanation:
Apparent frequency of the siren is given as

as we know that the wavelength will remain the same as it is having originally
sowe know


a) Now when wind is blowing from source to official
so we have

so we have


b) Now when wind is from official to source
so we have

so we have


Based on this scatter plot, I can say that in general, test scores vary directly with study time. In other words, in a population large enough to reveal the direct relationship, the more time a student spends studying, the higher that student's test scores will be.
I didn't need a scatter plot to reveal that to me. That's practically in the category of Law given to Moses at Sinai.
Answer: 14.16
Explanation:
Given
d = 38cm
r = d/2 = 38/2 = 19cm = 0.19m
K.E = 510J
m = 10kg
I = 1/2mr²
I = 1/2*10*0.19²
I = 0.18kgm²
When it has 510J of Kinetic Energy then,
510J = 1/2Iω²
ω² = 1020/I
ω² = 1020/0.18
ω² = 5666.67
ω = √5666.67 = 75.28 rad/s
Velocity is the block, v = ωr
V = 75.28 * 0.19
V = 14.30m/s
The "effective mass" M of the system is
M = (14.0 + ½*10.0) kg = 19.0 kg
The motive force would be
F = ma
F = 14 * 9.8
F = 137.2N
so that the acceleration would be
a = F/m
a = 137.2/19
a = 7.22m/s²
Finally, using equation of motion.
V² = u² + 2as
14.3² = 0 + 2*7.22*s
204.49 = 14.44s
s = 204.49/14.44
s = 14.16m