Answer:
47.76°
Explanation:
Magnitude of dipole moment = 0.0243J/T
Magnetic Field = 57.5mT
kinetic energy = 0.458mJ
∇U = -∇K
Uf - Ui = -0.458mJ
Ui - Uf = 0.458mJ
(-μBcosθi) - (-μBcosθf) = 0.458mJ
rearranging the equation,
(μBcosθf) - (μBcosθi) = 0.458mJ
μB * (cosθf - cosθi) = 0.458mJ
θf is at 0° because the dipole moment is aligned with the magnetic field.
μB * (cos 0 - cos θi) = 0.458mJ
but cos 0 = 1
(0.0243 * 0.0575) (1 - cos θi) = 0.458*10⁻³
1 - cos θi = 0.458*10⁻³ / 1.397*10⁻³
1 - cos θi = 0.3278
collect like terms
cosθi = 0.6722
θ = cos⁻ 0.6722
θ = 47.76°
Answer:
0.014s
Explanation:
Given parameters:
mass of golf ball = 0.059kg
force applied = 290N
velocity = 69m/s
initial velocity = 0m/s
Unknown:
Time of contact = ?
Solution;
We know that momentum is the quantity of motion of body possess;
Momentum = mass x velocity
Momentum = 0.059 x 69 = 4.1kgm/s
Also; impulse is the effect of the force acting on a body;
impulse = force x time = momentum
So;
Force x time = momentum
Time =
=
= 0.014s
Assuming the object was originally at rest, it must have been traveling for
14.0/3.45 = 4.06 seconds
<u>Answer:</u>
The height of the cliff in meters = 27.44
<u>Explanation:</u>
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.
Here we have mass of rock = 13 kg
Potential energy = 3500 J
Acceleration due to gravity = 
Substituting 3500 = 13 * 9.81 * h
h = 27.44 meter
The height of the cliff in meters = 27.44