Answer:
A. Refer to the figure.
B. The net force acting on the crate is

C. We should first find the acceleration of the crate using the following kinematics equation:

Mass of the crate can be found by Newton’s Second Law:
Answer:
(a) 9.375 N/m
(b) 0.5024 m/s
(c) 0.01 kg/s
Explanation:
mass of head, m = 15 g = 0.015 kg
frequency, f = 4 Hz
Time period, T = 1 / f = 0.25 s
Let k is the spring constant.
(a)
The formula for the time period is



K = 9.375 N/m
(b)
Amplitude, A = 2 cm
Let ω is the angular velocity.
Maximum velocity, v = A ω = A x 2πf
v = 0.02 x 2 x 3.14 x 4 = 0.5024 m/s
(c)
Let b is the damping constant.
A(t = 4s) = 0.5 cm
Ao = 2 cm
Using the formula of damping



Taking natural log on both the sides
ln (0.25) = - 133.3 b
- 133.3 b = - 1.386
b = 0.01 kg/s
Answer:
1.574 [m/s²].
Explanation:
1) acceleration is: a=(V-V₀)/t, where V - final velocity [68km/h=18.(8)m/s]; V₀ - initial velocity [0]; t - elapsed time [12sec.];
2) according to the formula above:
a=18.(8)/12≈1.574 [m/s²].
So the formula for density is mass divided by volume, so it would be
The gravitational force is 1.98×10^20 m.
Computation of gravitational force:
The gravitational force F between two masses is given by the formula,
F=Gm1m2/ r^2
where G is the gravitational constant.
Note: It is assumed m1=5.972×10^24 kg, m2=7.348×10^22 kg and r=3.84×10^8 m and G=6.67×10^(-11) N m^2 kg^-2
Then F=(6.67×10^(-11)×5.972×10^(24)×7.348×10^(22))/ (3.84×10^8)
F=1.98×10^(20) N
Check out more about gravitational force here:
brainly.com/question/13054973
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