A ball is thrown upward from ground level at a velocity of 55.5 m/s. What is the ball maximum height?
1 answer:
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Answer:
ks= 133.2 N/m
Explanation:
- Assuming that we can neglect the gravitational potential energy of the mass, and that no other forces acting on the payload, total mechanical energy must be conserved.
- This energy, at any time, is part elastic potential energy (stored in the spring) and part kinetic energy.
- When the spring is initially compressed, the payload is at rest, so all energy is elastic potential.
- Once the spring has returned to its natural state, all this elastic potential energy must have been turned into kinetic energy.
- If the payload is launched horizontally, and no gravity is present,this means that its final speed will be horizontal only also, according to Newton's First Law.
- So, we can write the following equation:
- where ΔU = -1/2*k*(Δx)² (2)
- and ΔK = 1/2*m*v² (3)
- Replacing in (2) and (3) by the givens, and simplifying, we can find the stiffness ks as follows:
Answer: The pressure of the air when compressed is
Explanation:
Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
(At constant temperature and number of moles)
where,
= initial pressure of gas =
= final pressure of gas =?
= initial volume of gas = V
= final volume of gas =
Therefore, the pressure of the air when compressed is
Answer:
B = 0.15 T
Explanation:
To find the magnitude of the magnetic field you use the following formula:
( 1 )
m: mass of the electron = 9.1*10^-31 kg
v: velocity of the electron = 3*10^6 m/s
q: charge = 1.6*10^-19
r: radius = 0.11mm = 0.11*10^-3 m
You replace the values of the parameters in the equation (1).
the magnetic field has a magnitude of 0.15 T