The greatest mass that can hang without submerging is 2.93 kg. The provided details are as follows: sphere diameter = 20 cm, hence the radius r = 10 cm = 0.10 m. The density of the Styrofoam sphere is 300 kg/m³. The sphere's volume calculates to 4.18 * 10⁻³ m³. Mass M = Density * Volume results in (300)(4.18 * 10⁻³ m³) = 1.25 kg. The displaced water mass is computed as volume * water density, yielding 4.18 * 10⁻³ m³ * 1000 = 4.18 kg. The additional mass the sphere can hold is the difference between the two mass calculations: 4.18 kg - 1.25 kg = 2.93 kg.
Answer:
The velocities of both
-mesons are 0.574 in the positive direction and -0.9367c in the negative direction along the X-axis
Solution:
Referring to the question:
The speed of the
-meson is v' = 0.828c
And the K-meson's speed in the positive x direction is v'' = 0.486c
Now, to determine the speeds of the two
-mesons:
Velocity of the first

-meson,

:




Velocity of the second
-meson,
:




The complete question is;
A ski jumper descends a ramp and exits the ski track at a horizontal speed of 24 m/s. The slope at the landing site angles downwards at θ = 59◦. The acceleration due to gravity is 9.8 m/s².
What is the value of the relative angle φ at which the ski jumper makes contact with the slope? Provide the answer in degrees.
Answer:
14.08°
Explanation:
The time taken can be calculated using the formula;
t = (2V_x•tan θ)/g
t = (2 × 24 × tan 59)/9.8
t = 8.152 s
Next, the slope of the trajectory at the impact point is determined by;
tan α = V_y/V_x
Given V_x = 24 m/s
We will find V_y using;
v = gt
Therefore;
V_y = gt
V_y = 9.8 × (8.152) = 78.89 m/s
Thus;
tan α = 78.89/24
tan α = 3.2871
α = tan^(-1) 3.2871
α = 73.08°
Consequently;
Relative angle φ = α - θ = 73.08 - 59 = 14.08°
If the mass stays unchanged while the volume expands, the substance's density will experience a reduction.
Conversely, if the mass remains constant and the volume contracts, the density of the substance will rise.
The following statements hold true
(i) The leather jacket is less likely to attract electrons than the sweater.
When the sweater and the leather jacket come into contact, the leather jacket loses electrons and becomes positively charged, while the sweater gains electrons and thus becomes negatively charged.
Opposite charges attract, meaning the sweater (which is negatively charged) will pull in protons (which are positively charged). The leather jacket (positively charged) will in turn attract electrons (which are negatively charged).