A 1000 N object is pulled along a level surface with a horizontal force of 200 N. The object moves with a constant velocity of 2
1 answer:
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Answers:
a) 9.035 s
b) -88.543 m/s
Explanation:
The described situation is related to vertical motion (especifically free fall) and the equations that will be useful are:
(1)
(2)
Where:
is the final height of the steel ball
is the initial height of the steel ball
is the initial velocity of the steel ball (it was dropped)
is the final velocity of the steel ball
is the time it takes to the steel ball to reach the ground
is the acceleration due to gravity
<u>Knowing this, let's begin with the answers:</u>
<h2>a) Time it takes the steel ball to reach the ground</h2>We will use equation (1) with the conditions listed above:
(3)
Isolating :
(4)
(5)
(6)
We will use equation (2) with the conditions explained above and the calculaated time:
(7)
(8)
(9) The negative sign indicates the direction of the velocity is downwards
Answer:
Explanation:
Answer:
0.632 m
Explanation:
let the equilibrium separation between the charges is d and the angle made by string with the vertical is θ.
According to the diagram,
d = L Sinθ + L Sinθ = 2 L Sinθ .....(1)
Let T be the tension in the string.
Resolve the components of T.
T Sinθ = k q1 q2 / d^2
T Sinθ = k q1 q2 / (2LSinθ)² .....(2)
T Cosθ = mg .....(3)
Dividing equation (2) by equation (3), we get
tanθ = k q1 q2 / (4 L² Sin²θ x mg)
tan θ Sin²θ = k q1 q2 / (4 L² m g)
For small value of θ, tan θ = Sin θ
So,
Sin³θ = k q1 q2 / (4 L² m g)
Sin³θ = (9 x 10^9 x 0.785 x 10^-6 x 1.47 x 10^-6) / (4 x 0.5 x 0.5 x 4.20 x 10^-3 x 9.8)
Sin³θ = 0.2523
Sinθ = 0.632
θ = 39.2 degree
So, the separation between the two charges, d = 2 x L x Sin θ
d = 2 x 0.5 x 0.632 = 0.632 m
Answer:
Explanation:
Force is the push or pull on object that can cause different things, like acceleration. According to Newton's 2nd Law of Motion, it is the product of mass and acceleration.
The mass of the wolf is 50.5 kilograms and the acceleration is 5.0 meters per square second. Therefore:
Substitute the values into the formula.
Multiply.
- 1 kilogram meter per square second is equal to 1 Newton.
- Our answer of 252.5 kg*m/s² is equal to 252.5 Newtons.
The force required is <u>252.5 Newtons</u>.