Answer:
Period = 1.67 seconds
Frequency = 0.6 Hz
Explanation:
Number of vibrations in 60 seconds = 36
Frequency is defined as vibrations per second.
So, Frequency = 36/60 = 0.6 Hz
Time period is defines as time taken for 1 vibration,
So, Time period = 60/36 = 1.67 seconds.
Answer:
See answers below
Explanation:
a.
F = mg,
15.5 N = m(9.8 m/s²)
m = 1.58 kg
b.
Fnet = Applied force - resistance,
Fnet = 18 N - 4.30 N,
Fnet = 13.70 N
Fnet = ma
13.70 N = (1.58 kg)a
a = 8.67 m/s²
For the free body diagram, draw a box with an upward arrow labeled 15.5 N, a downward label labeled 15.5 N, a right label labeled 18 N, and a left label labeled 4.30 N.
F=MA
F + 200= 250 x 4
F + 200 = 1000
F= 1000-200
F= 800
Answer:
13.9 m/s
Explanation:
The velocity of the train along the inclined surface is given by the ratio between the distance travelled, d, and the time taken, t:

where we have
d = 400 m
t = 5 s
Substituting,

This is the velocity of the train along the inclined plane. Now we can find the vertical component of the velocity by using the formula:

where
is the angle of the slope. Substituting, we find

The net force on the system:
F = m₂g - m₁gsin(∅)
F = 39.5 x 9.81 - 43 x 9.81 x sin(30)
F = 176.58 N
Now, we use F = ma to find the acceleration on each mass.
F = m₁a₁
a₁ = 176.58 / 43
a₁ = 4.11 m/s²
F = m₂a₂
a₂ = 176.58 / 39.5
a₂ = 4.47 m/s²