Question: A charge of 0.50 C moves horizontally in a magnetic field of 1.0 T with a speed of 4.0 x 10^⁻1 m/s. The force experienced by the charge is 7.0 N. What is the angle between the charge direction and the magnetic field?
Answer:
Θ = 6.56°
Explanation:
From the question,
Using
F = BvqsinΘ................... Equation 1
Where F = force experienced by the charge, B = magnetic field, q = Charge, Θ = angle between the charge abd the magnetic field, v = velocity.
Make Θ the subject of the equation
Θ =sin⁻¹ (Bvq/F)............... Equation 2
Given: v = 4.0×10⁻¹ m/s, B = 1.0 T, q = 0.50 C, F = 7.0 N
Θ = sin⁻¹(1×0.5×4×10⁻¹/7)
Θ = sin⁻¹(0.114)
Θ = 6.56°
Answer:
true A) 3.5 10⁴ V/m
Explanation:
For the speed selector to work the electric force must be challenged to the magnetic force, so
=
q E = q v B
v = E / B
This expression we need the speed of the proton, which we can find by its energy
= K = ½ m v²
v²2 =√ 2 / m
Let's replace
E = v B
E = B √ 2 / m
Let's reduce the magnitudes to the SI system
= 1000 eV (1.6 10⁻¹⁹J / 1 eV) = 1.6 10⁻¹⁶ J
E = 8.0 √ (2 1.6 10⁻¹⁶ / 1.67 10⁻²⁷)
E = 8.0 √ (19.16 10¹⁰)
E = 3.5 104 N/C
When reviewing the answer the correct one is A
Answer:
Explanation:
Given
Vector Points -1.55 units along x-axis
i.e. 1.55 units along negative x-axis
and 3.22 units along Y-axis
Direction of vector
Where is the angle made by vector with x-axis as shown in the diagram
Need to see the statements mentioned in the q posted.
Answer:
Final Velocity of the system = 18.07 m/s
Increase in the internal energy = 2836215.34 Joules
Explanation:
Treating the car and truck as a system we shall use the conservation of momentum to find the final velocities
Along the x axis the moumentum of each body is as under
Thus initial moumentum of the system along x direction is
Now after collision since both the car and truck move as a single unit we have
Equating the initial momentum with final momentum we get
Similarly we shall conserve the moumentum along the z direction also
Equating initial and final momentum we have
Thus the resultant velocity of the system after the collision is given by
To find the increase in the internal energy we shall use the conservation of energy principle
Initial Energy =
Similarly final energy of the system is
Thus the increase in the internal energy is the diffrence between initial and final energies