Answer:
r₂/r₁ = 1.82
Explanation:
The electric field due to a point charge, has the following expression:
For a distance r₁, the magnitude of the electric field is 395 N/C, so we can solve for r₁², as follows:
r₁² = (1)
For a distance r2, the magnitude of the electric field is 119 N/C, so we can solve for r₂², as follows:
r₂² =
We can find the quotient r₂/r₁, from (1) and (2):
r₂/r₁ = = 1.82
Answer:
The net force on the car is 2560 N.
Explanation:
According to work energy theorem, the amount of work done is equal to the change of kinetic energy by an object. If '' be the work done on an object to change its kinetic energy from an initial value '
' to the final value '
', then mathematically,
where '' is the mass of the object and '
' and '
' be the initial and final velocity of the object respectively. If '
' be the net force applied on the car, as per given problem, and '
' is the displacement occurs then we can write,
Given, .
Equating equations (I) and (II),
Answer:
Potential energy = 73.575 kJ
Kinetic energy = 135kJ
Total mechanical energy = 208.575 kJ
Explanation:
The potential energy of a body is given by the expression, PE = mgh, where m is the mass of the body, g is the acceleration due to gravity value and h is the height of the body.
The kinetic energy of a body is given by , where v is the velocity and m is the mass of body.
Total mechanical energy = Kinetic energy + Potential energy
PE = mgh = 75*9.81*100 = 73575 J = 73.575 kJ
Total mechanical energy = Kinetic energy + Potential energy = 135+73.575
= 208.575 kJ
Answer:
The minimum speed is 7.5 m/s.
Explanation:
Given that,
Height = 2.87 m
We need to calculate the minimum speed
Using equation of motion
Where, u = minimum velocity
g = acceleration due to gravity
h = height
Put the value into the formula
Hence, The minimum speed is 7.5 m/s.