Answer:
Force F = 1535.86 N
the force necessary for his wife to hold onto their child during the collision is 1535.86 N
Explanation:
Given;
Mass of toddler m = 13 kg
Velocity v = 37 mi/h = 37 × 0.44704 m/s = 16.54 m/s
Impulse time t = 0.14 seconds
Using the impulse momentum equation,
Impulse = change in momentum
Ft = m(∆v)
Force F = m(∆v)/t
∆v = 16.54 m/s
F = 13×16.54/0.14
Force F = 1535.86 N
Answer: 60m/s
Explanation:
The wavespeed is the distance covered by the wave in one second. It is measured in metre per second, and represented by the symbol V
Wavespeed (V) = Frequency F x wavelength λ
i.e V = F λ
In the first case:
Wavespeed = 30 m/s
Frequency of sound = 6Hz
Wavelength = 5m
In the second case:
Wavespeed = ?
Frequency of sound = (2x 6Hz = 12Hz)
Wavelength = 5m (remains constant)
Apply V = F λ
Wavespeed = 12 Hz x 5m
Wavespeed = 60m/s
Therefore, when frequency is doubled, the speed is also doubled. Thus, the new speed of the wave is 60m/s
Answer:
c. √2T
Explanation:
The period of a simple pendulum is given by;

Thus, the the new period will be √2T