To address this scenario, we apply the principle of momentum conservation. Given that momentum equals mass multiplied by velocity, we have:
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
where
v₁ and v₂ represent the initial velocities of carts A and B,
v₁' and v₂' denote the final velocities of the respective carts,
and m₁ and m₂ are their masses.
(7 kg)(0 m/s) + (3 kg)(0 m/s) = (7 kg)(v₁') + (3 kg)(6 m/s)
Solving for v₁', we find that
v₁' = -2.57 m/s
Consequently, cart A moves at 2.57 m/s in the opposite direction of cart B.
Response:
0.069 N, directed along the X axis
Reasoning:
Flemming’s left hand rule indicates that when the left hand's first three fingers are held at right angles to each other, the index finger denotes the direction of the magnetic field, the middle finger indicates the current's direction, and the thumb shows the force's direction.
The mathematical expression of the principle is
F= BIL
provided values
Magnetic field B= 0.43T
Current I= 4.9 A
length of conductor L= 3.3 cm, converting to meters: 3.3/100= 0.033 m
Using the formula, the force is computed as
F= 0.43*4.9* 0.033= 0.069 N
According to Flemming's rule, since all elements are perpendicular, the force acts in the X direction
The velocity of water can be decomposed into its vertical and horizontal components:
The vertical component will exhibit a parabolic trajectory due to gravity, while the horizontal component will be linear:
To determine when the water reaches the ground 2.5m away, set y= 0 and x = 2.5
