Answer: 80.384 cubic cm /min
Explanation:
Let V denote the volume and r denotes the radius of the spherical snowball .
Given :
We know that the volume of a sphere is given by :-
Differentiating on the both sides w.r.t. t (time) ,w e get
When r= 8 cm
Hence, the volume of the snowball decreasing at the rate of 80.384 cubic cm /min.
Answer:
a) A = 0.603 m , b) a = 165.8 m / s² , c) F = 331.7 N
Explanation:
For this exercise we use the law of conservation of energy
Starting point before touching the spring
Em₀ = K = ½ m v²
End Point with fully compressed spring
=
= ½ k x²
Emo =
½ m v² = ½ k x²
x = √(m / k) v
x = √ (2.00 / 550) 10.0
x = 0.603 m
This is the maximum compression corresponding to the range of motion
A = 0.603 m
b) Let's write Newton's second law at the point of maximum compression
F = m a
k x = ma
a = k / m x
a = 550 / 2.00 0.603
a = 165.8 m / s²
With direction to the right (positive)
c) The value of the elastic force, let's calculate
F = k x
F = 550 0.603
F = 331.65 N
