Answer:
0.82 m/s
Explanation:
From the law of conservation of momentum,
Total momentum = Final momentum.
mu+m'u' = V(m+m')......................... equation 1
Where m = mass of Lillian, u = initial velocity of Lillian before she catches the dog, m' = mass of the dog, u' = initial velocity of the dog, V = velocity of Lillian and the dog.
make V the subject of the equation,
V = (mu+m'u')/(m+m')................ Equation 2
Given: m = 40 kg, m' = 15 kg, u = 0 m/s (Lillian was standing at rest), u' = 3.0 m/s.
Substitute into equation 2
V = (40×0+15×3)/(40+15)
V = (0+45)/55
V = 45/55
V = 0.82 m/s
So the air evaporate s and mix the temptures and marks air power to the same theme as the other the two degrees lower and lower until they are the same
Answer:
2.56 m/s²
Explanation:
A standing wave is produced in the wire, its frequency f = n/2l√(T/μ). For the fundamental frequency, n = 1.
f = 1/2l√(T/μ)
where l = length of wire = 1.60 m, T₁ = tension in wire = weight of object = m₁g (neglecting wires mass), m₁ = mass of object = 3.00 kg, g = acceleration due to gravity on the small planet, μ = linear density of wire = m₀/l , m₀= mass of wire = 4.30 g = 0.0043 kg and f = 1/T where T = period of pulse = 59.9 ms = 0.0599 s
f = 1/2l√(T₀/μ) = 1/T ⇒ T₁ = 4l²μ/T²
m₁g = 4l²μ/T²
g = 4l²μ/m₁T² = 4l²m₀/l/m₁T² = 4lm₀/m₁T²
g = 4lm₀/m₁T² = 4 × 1.60 × 0.0043/(3.00 × 0.0599²) = 2.56 m/s²
Explanation:
to calculate the acceleration we use this formula
force=mass × acceleration
F = M × A
we are given the value of force(F) which is 52 and mass(M) which is 4
to find the acceleration we just make A the subject of formula
A = F/M
A=52/4
A =13m/s²
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