The acceleration due to gravity would be 5.95 m/s²
A force is known to be a push or pull and it is the change in momentum per time. It can be expressed by using the relation.
From the parameters given:
By replacing the given values into the above equation, we can determine the acceleration.
∴
625 N = 105 kg × acceleration.
acceleration = 5.95 N/kg
acceleration = 5.95 m/s²
Learn more about acceleration(a) here:
The concepts required to solve this problem are those related to density, as a function of mass and volume. In turn, we will use the geometric concept defined for the volume.
The relationship between volume, density and mass is given under the function
Here,
m = Mass
V = Velocity
Rearranging for the Volume,
With our information the volume is
Now the volume of sphere is expressed as
Here r is the radius of Sphere, then rearranging to find the radius we have
Therefore the radius of a sphere made of this material that has a critical mass is 9.02cm
Answer: option C. 43.9°
Explanation:
Refer to the diagram. The tension in the two strings is equal T₁=T₂=T = 3 N
The strings support a frame weighing, W= 4.26 N
We will write the tension in the strings as the sum of their horizontal and vertical components.
The horizontal components balance each other and cancel out.
T₁ cos θ = T₂ cos θ
On the other hand, The vertical component would support the weight of the frame.
2 T sin θ = W
2 × 3 N × sin θ = 4.16 N
sin θ = 0.693
⇒ θ = sin ⁻¹(0.693) = 43.9°
Hence, the angle made by two wires with the horizontal is 43.9°.
