Select the correct answer.
1 answer:
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Answer:
x = 4.32 [m]
Explanation:
We must divide this problem into three parts, in the first part we must use Newton's second law which tells us that the force is equal to the product of mass by acceleration.
∑F = m*a
where:
F = force = 700 [N]
m = mass = 2030 [kg]
a = acceleration [m/s²]
Now replacing:
Then we can determine the final speed using the principle of conservation of momentum and amount of movement.
where:
m₁ = mass of the car = 2030 [kg]
v₁ = velocity at the initial moment = 0 (the car starts from rest)
Imp₁₋₂ = The impulse or momentum (force by the time)
v₂ = final velocity after the impulse [m/s]
Now using the following equation of kinematics, we can determine the distance traveled.
where:
v₂ = final velocity = 1.72 [m/s]
v₁ = initial velocity = 0
a = acceleration = 0.344 [m/s²]
x = distance [m]
Answer:
m/s
Explanation:
Parameters given:
distance of the proton form the insulating sheet = 0.360mm
speed of the proton, = 990m/s
Surface charge density, σ = 2.34 x C/
We need to calculate the speed at time, t = 7.0 * s.
We know that the proton is moving parallel to the sheet, hence, we can say it is moving in the x direction, with a speed on the axis.
The electric force acting on the proton moves in the y direction, so this means it is moving with velocity in the y axis.
Hence, the resultant velocity of the proton is given by:
= 990m/s from the question. We need to find
and then the resultant velocity v.
Electric field is given in terms of surface charge density, σ as:
E = σ/ε0
where ε0 = permittivity of free space
=>
E = 132 N/C
Electric Force, F is given in terms of Electric field:
F = eE
where e = electronic charge
=> F = ma = eE
∴ a = eE/m
where
a = acceleration of the proton
m = mass of proton
a = 1.3 * m/
Therefore, at time, t = 7.0 * , we can use one of the equations of linear motion to find the velocity in the y axis:
= 0 + (1.3 *
* 7.0 *
)
= 910 m/s
∴
v = 1344.69 m/s = m/s