Answer:
v = √(10gh/7)
Explanation:
Initial gravitational energy = final rotational energy + kinetic energy
PE = RE + KE
mgh = ½ Iω² + ½ mv²
For a solid sphere, I = ⅖ mr².
For rolling without slipping, ω = v/r.
mgh = ½ (⅖ mr²) (v/r)² + ½ mv²
mgh = ⅕ mv² + ½ mv²
mgh = 7/10 mv²
10/7 gh = v²
v = √(10gh/7)
Answer:
P.E = 980 Joules
Explanation:
Given the following data;
Mass = 20 kg
Height = 5m
Acceleration due to gravity = 9.8 m/s²
To find the potential energy stored in the block;
Mathematically, potential energy is given by the formula;

Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Substituting into the equation, we have;

P.E = 980 Joules
Answer: c
Explanation: hope this helps :)
<em>The correct option is</em> D. The initial momentum of the blue and green train combined during the collision is 200 kgm/s.
<h3>
Initial momentum of the blue and green train</h3>
Apply the principle of conservation of linear momentum as follows;
Pi = m1v1 + m2v2
where;
- m1 is mass of blue train
- m2 is mass of green train
- v1 is velocity of blue train
- v2 is velocity green train
- Pi is the initial momentum of the two trains
Pi = (50 x 4) + 30(0)
Pi = 200 kgm/s
Thus, the initial momentum of the blue and green train combined is 200 kgm/s.
Learn more about momentum here: brainly.com/question/7538238
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Answer:
Density = 11.11 kg/m³
Explanation:
Given the following data;
Mass = 40 kg
Dimensions = 30×4×3 = 360 cm³ to m³ = 360/100 = 3.6 m³
Thus, volume = 3.6 m³
Now, we can find the density;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the equation;

Substituting into the equation, we have;
Density = 40/3.6
Density = 11.11 kg/m³