Answer:
a) The ball goes one-third times higher on X
b) The ball goes three times higher on X.
Explanation:
a)
- As the initial velocity is the same than on Earth, but the free-fall acceleration is three times larger, this means that the only net force acting on the ball (gravity) will be three times larger, so it is clear that the ball will reach to a lower height, as it will slowed down more quickly.
- Kinematically, as we know that the speed becomes zero when the ball reaches to the maximum height, we can use the following kinematic equation:
since vf = 0, solving for Δh, we have:
if v₀ₓ = v₀E, and gₓ = 3*gE, replacing in (1), we get:
Δhₓ = 1/3 * ΔhE
which confirms our intuitive reasoning.
b)
- Now, if the initial velocity is three times larger than the one on Earth, even the acceleration due to gravity is three times larger, we conclude that the ball will go higher than on Earth.
- We can use the same kinematic equation as in (1) replacing Vox by 3*VoE, as follows:
Replacing the right side of (1) in (2), we get:
Δhx = 3* ΔhE
which confirms our intuitive reasoning also.
No, it is not possible for thermal energy to be equal in both bowls.
Ep = mgh = 47.0 J
m = 0.8 kg
g = 9.81 m/s2 (average)
h = Ep / mg = 47 J / 0.8 kg * 9.81 m/s2 = 5.989 m
Wear a seat belt of course.
Answer:
Length of the string, l = 0.486 meters
Explanation:
It is given that,
Mass of the string,
Tension in the string, T = 120 N
Frequency of transverse wave, f = 260 Hz
Wavelength of the wave,
The speed of a transverse wave (v) is given by :
........(1)
<em>Where,</em>
Also, speed of a wave, .........(2)
From equation (1) and (2) :
l = 0.486 m
So, the length of the string is 0.486 meters. Hence, this is the required solution.