Answer:
the amount of energy needed is 1.8 x 10¹⁷ J.
Explanation:
Given;
mass of the object, m₀ = 1 kg
velocity of the object, v = 0.866 c
By physics convection, c is the speed of light = 3 x 10⁸ m/s
The energy needed is calculated as follows;
E = Mc²
As the object approaches the speed of light, the change in the mass of the object is given by Einstein's relativity formula;

The energy required is calculated as;
E = 2 x (3 x 10⁸)²
E = 1.8 x 10¹⁷ J
Therefore, the amount of energy needed is 1.8 x 10¹⁷ J.
<h2>
Kinetic energy of mass 4 kg ball is less than kinetic energy of mass 2 kg ball</h2>
Explanation:
Kinetic energy = 0.5 x Mass x Velocity²
For ball of mass 2 kg
Mass, m = 2 kg
Velocity, v = 4 m/s
Kinetic energy = 0.5 x 2 x 4² = 16 J
For ball of mass 4 kg
Mass, m = 4 kg
Velocity, v = 2 m/s
Kinetic energy = 0.5 x 4 x 2² = 8 J
Kinetic energy of mass 4 kg ball is less than kinetic energy of mass 2 kg ball
Answer:
(B) 1.17 m.
Explanation:
At the highest point, the conservation of energy equation would becomes;
K.E (initial ) = K.E + P.E;
½ m(V)^2 = ½ m(V)^2 + mgh
(m*6^2)/2 = (m * 9.81 * 1.1) + (m*V^2)/2
36/2 = (9.81 * 1.1) + v^2/2
Solving the equation;
v=√14.44 m/s
= 3.8 m/s
a = −0.6g
= -0.6*9.81
= −5.88 m/s^2
Using equation of motion,
V^2 = U^2 + 2aS
S = V^2/2a
= 14.44/12
= 1.19 m.
Answer:
The size of the magnetic force on the wire due to the Earth's magnetic field is 4.62 × 10⁻⁶ N.
Explanation:
To determine the size of the magnetic force on the wire due to the Earth's magnetic field,
The magnetic force is given by the formula
F = ILB sinθ
Where F is the magnetic force on the wire
I is the electric current in Amperes (A)
L is is the length of wire in meters (m)
B is the magnetic field in Tesla (T)
and θ is the angle between current and magnetic field
From the question,
L = 0.30 m
I = 0.50 A
B = 0.50 gauss = 0.5 × 10⁻⁴ T (NOTE: 1 Gauss = 10⁻⁴ Tesla)
θ = 38°
Now, putting the values into the equation
F = ILB sinθ
F = 0.50 × 0.30 × 0.5 × 10⁻⁴ sin38°
F = 7.5 × 10⁻⁶ (0.61566)
F = 4.62 × 10⁻⁶ N
Hence, the size of the magnetic force on the wire due to the Earth's magnetic field is 4.62 × 10⁻⁶ N.
Answer:
there is no momentum
Explanation:
if an object is at rest there is no momentum to build, no speed, no acceleration it does not move unless force is acted upon it.