The period of oscillation of the system is 12.56 s
Explanation:
The period of oscillation of a spring-mass system is given by
where
m is the mass attached to the spring
k is the spring constant
For the system in this problem, we have
m = 40 kg
k = 10 N/m
Substituting into the equation, we find
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It took the ball 6.94 seconds to make the trip
Explanation:
A bouncy ball is being thrown upwards with a velocity of 34 meters per
second and you caught the ball at the same height you released it
1. The initial velocity of the ball is 34 m/s upward
2. The acceleration of gravity is -9.8 m/s²
3. You caught the ball at the same height you released it
We need to find how long it takes the ball to make the trip
You caught the ball at the same height you released it, then
→ The displacement of the trip s = zero meter
→ The ball thrown upward with initial velocity u = 34 m/s
→ The acceleration of gravity g = -9.8 m/s²
→ s = u t + g t²
Substitute the values of u , g , s in the rules
→ 0 = 34 t + (-9.8) t²
→ 0 = 34 t - 4.9 t²
Multiply both sides by -1
→ 4.9 t² - 34 t = 0
Take t as common factor
→ t(4.9 t - 34) = 0
Equate each factor by 0
→ t = 0 ⇒ initial position
→ 4.9 t - 34 = 0
Add 34 to both sides
→ 4.9 t = 34
Divide both sides by 4.9
→ t = 6.94 seconds ⇒ final position
It took the ball 6.94 seconds to make the trip
Learn more:
You can learn more about free fall in brainly.com/question/5531630
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Answer:
118.166 volt
Explanation:
We have given number of turns N =345
Sides of the rectangular coils is 12 cm =0.12 m
So area A =0.12×0.12=0.0144
Magnetic field B =0.45 T
Angular speed =505 rpm
Speed in rad/sec
The emf is given by
For maximum emf sinwt =1
So
Answer:
The force is -1620.73 N.
Explanation:
Given that,
Mass of car = 1000 kg
Velocity = 1 m/s
Distance = 2 m
Angle = 30°
We need to calculate the force
Using formula of work done
Put the value into the formula
Hence, The force is -1620.73 N.