**Answer:**

Its gravity potential energy is 39,240 J

**Explanation:**

The gravity potential energy of a body on the earth's surface is the energy a body under the influence of gravity possesses by virtue of its elevation from the surface of the earth.

We can calculate the GPE using this formula

from the problem given, we have m= mass= 20 kg

g = gravitational constant = 9.81m/s2

height = 200m

Hence, Its gravity potential energy is 39,240 J

**Answer: This is due to the Magnus Effect**

**Explanation: "Which is the force exerted on a rapidly spinning cylinder or sphere moving through air or another fluid in a direction at an angle to the axis of spin. This force is responsible for the swerving of balls when hit or thrown with spin."**

Answer:

(a) right

(b) λ = 4.65m

(c) v = 1519m/s

(d) f = 327Hz

Explanation:

The characteristic sinusoidal pressure fluctuation equation for a wave traveling to the right is given as

P(x,t) = BkASin(kx-ωt)

Where

B = Bulk modulus

k = wave number

A = displacement amplitude

x = position on the x-axis

ω = angular frequency

t = time t

(a) the wave is travelling to the right

(b) from the given equation

ΔP(x,t) = (24.0 / r) sin(1.35r - 2050t)

1.35 compares with k

So k = 1.35rad/m

And k = 2π/ λ

λ = 2π/k = 2π/1.35 = 4.65m

(c) ω =kv

From the given equation ω = 2050 rad/s

v = ω/k = 2050/1.35 = 1519m/s

(d) f = v/λ =1519/4.65 = 327Hz

] Ceres is composed of rock and ice and is estimated to comprise approximately one third of the mass of the entire asteroid belt. Ceres is the only object in the asteroid belt known to be rounded by its own gravity (though detailed analysis was required to exclude 4 Vesta). From Earth, the apparent magnitude of Ceres ranges from 6.7 to 9.3, peaking once every 15 to 16 months,[21]hence even at its brightest it is too dim to be seen with the naked eye except under extremely dark skies.