Answer:
65 N
Explanation:
ΣForces = (mass)(acceleration) = all other forces being enacted
The force that the rope exerts is just the tension in the rope caused by the bucket being lifted. I'll take up to be positive and down to be negative, so the tension is an upward force vector and the bucket weight is a downward force vector. By taking into account all the forces involved here, we get the formula:
ΣForces=ma=Tension-mg
- m is the bucket mass
- g is gravity pulling down on the bucket, I'm also taking gravity as 10m/s²
- a is the upward acceleration of the bucket
By isolating Tension we get Tension=ma+mg
Tension = m(a+g)
Tension = 5kg(3+10)m/s²
Tension = (5)(13)N
Tension = 65N
Don't they have to pay insurance company if something happens to there car.
Potential Energy = mass * 9.81 * height
(9.81 is the acceleration due to gravity on Earth)
PE = 6 * 9.81 * 6 = 353.16 J
Acceleration is defined as the change in velocity over the amount of time it took to make that change in velocity:
a = (Δv)/(Δt)