Answer:
k = 5572 N/m
Explanation:
Energy stored in the spring:
1)
Kinetic energy of the car:
2)
Spring force:
3)
Combining equation 1 and 2 and solving for k:
4)
Using equation 3 and solve for x:
5)
Combining equation 4 and 5:
6)
A high tide means when the water has risen and is higher up(closer to high up land). Low tide is when it’s receded
Answer: 24.7 degrees Max
Explanation:
m*g = 3 * 9.8 = 29.4 N. = Wt. of book.
Fp = 29.4*sin A = Force parallel to the
plank.
Fn = 29.4*Cos A = Force perpendicular to
the plank.
Fs = u*Fn = 0.46*29.4*Cos A
Fp-Fs = m*a
29.4*sin A - 0.46*29.4*Cos A = m*0 = 0
29.4*Sin A = 0.46*29.4*Cos A
Sin A = 0.46*Cos A
Divide both sides by Cos A:
Sin A/Cos A = 0.46
Replace Sin A/Cos A with Tan A:
Tan A = 0.46
A = 24.7 degrees Max.
Time = (distance) / (speed)
Time = (150 x 10⁹ m) / (3 x 10⁸ m/s) =
50 x 10¹ sec =
<em>500 sec</em> = 8 min 20 sec