First I’ll show you this standard derivation using conservation of energy:
Pi=Kf,
mgh = 1/2 m v^2,
V = sqrt(2gh)
P is initial potential energy, K is final kinetic, m is mass of object, h is height from stopping point, v is final velocity.
In this case the height difference for the hill is 2-0.5=1.5 m. Thus the ball is moving at sqrt(2(10)(1.5))=
5.477 m/s.
Answer:
Decreasing in altitude and increasing in velocity
Explanation:
The formula for potential energy is:

where m is mass, g is constant gravitational energy and h is the potential altitude.
The formula for kinetic energy is:

where v is the velocity
Since m,g are constant, to convert from potential energy to kinetic energy, h must decreases while v increases. For example dropping an object from a height.
In 60 minutes or 3600 seconds, the tip of the minute hand traverses the circumference of a circle with radius 3.00 cm, so it moves with a tangential speed of
(3.00 cm)/(3600 s) ≈ 0.00083 cm/s = 8.3 μm/s
Answer:
Explanation:
Force on a current carrying conductor in a magnetic field is given by the following expression
F = B i L where B is magnetic field perpendicular to wire or current , i is current and L is length of the wire.
Magnetic field of 1.5 x 10⁻⁵ T is making an angle of 60 degree with the wire so the component of field perpendicular to it
B = 1.5 X 10⁻⁵ Cos 30° = 1.3 x 10⁻⁵ T.
Force = BiL
= 1.3 X 10⁻⁵ X .4 X 1
= 5.2 X 10⁻⁶ N.
The direction of force can be found out from Fleming's left hand rule . It will be along downward direction.