Answer:
7.74m/s
Explanation:
Mass = 35.9g = 0.0359kg
A = 39.5cm = 0.395m
K = 18.4N/m
At equilibrium position, there's total conservation of energy.
Total energy = kinetic energy + potential energy
Total Energy = K.E + P.E
½KA² = ½mv² + ½kx²
½KA² = ½(mv² + kx²)
KA² = mv² + kx²
Collect like terms
KA² - Kx² = mv²
K(A² - x²) = mv²
V² = k/m (A² - x²)
V = √(K/m (A² - x²) )
note x = ½A
V = √(k/m (A² - (½A)²)
V = √(k/m (A² - A²/4))
Resolve the fraction between A.
V = √(¾. K/m. A² )
V = √(¾ * (18.4/0.0359)*(0.395)²)
V = √(0.75 * 512.53 * 0.156)
V = √(59.966)
V = 7.74m/s
it Bob btw
so the total km would be 399km
hope it helps
Takes place in the space and it can be fluid or solid
Answer: Conversion of 9.83 m/s with a radius of 0.85 m into rotations per minute (rpm) is
.
Explanation:
Given: Speed = 9.83 m/s
Convert m/s into m/minute as follows.

Radius = 0.85 m
Now, rotations take place in circular motion. So, the circumference of a circle is
.
Therefore, circumference is calculated as follows.

Formula used to calculate rotations per minute (rpm) are as follows.

Thus, we can conclude that conversion of 9.83 m/s with a radius of 0.85 m into rotations per minute (rpm) is
.
Answer:
The work done is L= 49.83 Joules
Explanation:
m= 2.44kg
d= 1.55m
α= 69.6°
g= 9.8 m/s²
μ= 0.691
F= ?
Fy= F*sin(α)
Fx= F*cos(α)
Fr= μ * Fx
Fr= μ * F*cos(α)
W= m*g
W= 23.91 N
Fy - W - Fr = 0
F*sin(α) - W - μ * F*cos(α) = 0
F* ( sin(α) - μ *cos(α) ) = W
F= W / ( sin(α) - μ *cos(α) )
F= 34.3 N
L= Fy * d
L= 49.83 J