Answer: Light waves move faster than sound waves, which are longitudinal.
Light waves can also travel through space.
Sound waves, being longitudinal, are slower than light waves, and do not travel through space.
Answer:
The further the spring is stretched from its origin.
Explanation:
When a spring is stretched or compressed from its original source, a restoring force will act, trying to bring it back to its original state. Hence, Hooke's Law states that the extension of an elastic material is proportional to the load applied or force applied to it. This will continue to hold provided the elastic limit of such material is not exceeded. Therefore, the more it is pull away from the original state, the more restoring force act on it and the more force the that will be needed to pull it away provided the elastic limit is not exceeded.
Answer:
a) , b)
Explanation:
a) The acceleration due to gravity inside the planet is:
b) The acceleration at the surface of the planet is:
Answer: 0.687 m/s
Explanation:
Given
Mass of object, m = 76.7 g = 0.767 kg
Force constant of the spring, k = 3.34 N/m
Amplitude of the spring, x = 38 cm = 0.38 m
EPE(i) = KE(f) + EPE(f)
1/2kx(i)² = 1/2mv² + 1/2kx(f)²
1/2 * 3.34 * 0.38² = (1/2 * 0.767 * v²) + [1/2 * 3.34 * (0.38/2)²]
1/2 * 3.34 * 0.1444 = (1/2 * 0.767v²) + 1/2 * 3.34 * 0.0361
1/2 * 0.482 = 1/2 * 0.767v² + 1/2 * 0.121
0.241 = 1/2 * 0.767v² + 0.06
1/2 * 0.767v² = 0.181
0.767v² = 0.181 * 2
0.767v² = 0.362
v² = 0.362 / 0.767
v² = 0.472
v = √0.472
v = 0.687 m/s
Let's call the constant acceleration a.
At a time t, its speed will thus be v(t)=a*t+v0 where v0 is its initial speed, here 10 m/s. Hence v(t)=a*t+10.
From there we can deduce the position P(t)=a*t^2/2+10t+p0 where p0 is the initial position, here 0.
Hence P(t)=a*t^2/2+10t
Let's call T the time at which it's at 50 m/s, we know that P(T)=225m and that v(T)=50 m/s hence a*T+10=50 thus a=40/T and P(T)=(40/2+10)T=30T
Hence T=225/30=7.5
It took 7.5 seconds