k = spring constant of the spring = 100 N/m
m = mass hanging from the spring = 0.71 kg
T = Time period of the spring's motion = ?
Time period of the oscillations of the mass hanging is given as
T = (2π) √(m/k)
inserting the values in the above equation
T = (2 x 3.14) √(0.71 kg/100 N/m)
T = (6.28) √(0.0071 sec²)
T = (6.28) (0.084) sec
T = 0.53 sec
hence the correct choice is D) 0.53
Answer:
516526.863 m
Explanation:
From the question given above, the following data were obtained:
Acceleration due to gravity (g) = 2.24 m/s²
Mass (M) = 8.96×10²¹ Kg
Gravitational constant (G) = 6.67×10¯¹¹Nm²/Kg²
Radius (r) =?
The radius of the planet can be obtained as follow:
g = GM/r²
2.24 = 6.67×10¯¹¹ × 8.96×10²¹ / r²
2.24 = 5.97632×10¹¹ / r²
Cross multiply
2.24 × r² = 5.97632×10¹¹
Divide both side by 2.24
r² = 5.97632×10¹¹ / 2.24
r² = 2.668×10¹¹
Take the square root of both side
r = √2.668×10¹¹
r = 516526.863 m
Thus, the radius of the planet is 516526.863 m
Answer:
A. Their particles are free to move away from each other.
Explanation:
Answer
given.
Mass of big fish = 15 Kg
speed of big fish = 1.10 m/s
mass of the small fish = 4.50 Kg
speed of the fish after eating small fish =?
a) using conservation of momentum
m₁v₁ + m₂v₂ = (m₁+m₂) V
15 x 1.10 + 4.50 x 0 = (15 + 4.5)V
16.5 = 19.5 V
V = 0.846 m/s
b) Kinetic energy before collision
KE₁ = 9.075 J
Kinetic energy after collision
KE₂ = 6.98 J
Change in KE = 6.98 - 9.075 = -2.096 J
hence,
mechanical energy was dissipated during this meal = -2.096 J
Muscles function only by contracting. This makes it necessary for one end of the muscle to be fixed and the other mobile.
Take the bicep for example.
Its origin is at the shoulder and its two heads connect to the bones of the forearm, the radius and ulna.
Now, had the muscle not been fixed at one end, and contracted, it would pull both our shoulder and forearm together resulting in an ineffective movement. The desired motion is to lift the forearm (proximal and distal movement) which can only be achieved if the bicep is fixed at the shoulder and allowed to move at the forearm.
