Answer:
a) Δx = 180.59 m
b) T = 6001 N
Explanation:
a)
According to Newton's second law, which says that acceleration is directly proportional to the net force, the equation is equal to:
ΣF = m*a = T-f
Clearing a, and solving:
a = (T-f)/m = (T-f)/2*m = (12000-5800)/(2*700) = 4.43 m/s^2
To evaluate the final speed the following equation will be used:
vf^2 = vi^2 + 2*a*Δx = 0 + 2*a*Δx = 2*a*Δx
Clearing Δx:
Δx = vf^2/2*a = (40 m/s)^2/(2* 4.43 m/s^2) = 180.59 m
b)
The tension is equal to:
T = m*a + f = (700 kg * 4.43 m/s^2) + 2900 N = 6001 N
Answer:
f' =1064.1025 Hz
Explanation:
We know that from doppler's effect
f'= observed frequency
f= actual frequency =1000 Hz
v= velocity of sound waves = 332 m/s
v_o= velocity of observer =0
v_s= velocity of source. ( let velocity of car be 20 m/s)
therefore,
f' =1064.1025 Hz
The upward force exerted on the board by the support is mathematically given as
Fu= 764.8 N
<h3>What is the upward force exerted on the board by the support?</h3>
Generally, the equation for is mathematically given as
Considering that the Net Force on the system is null
The weight of the children plus the weight of the board equals the upward force imposed on the support.
The upward force
Fu= 440 + 272 + 52.8 N
Fu= 764.8 N
In conclusion, he upward force exerted on the board by the support
Fu= 764.8 N
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