The recoil speed of the cannon is 3 m/s.
<u>Explanation:</u>
Law of conservation of momentum is used to find the recoil speed of the cannon.
m₁v₁ = -m₂v₂
m₁= mass of clown = 100 kg
v₁ = speed of the clown = 15 m/s
m₂= mass of the cannon = 500 kg
v₂ = speed of the cannon = ?
Plugin the values, we will get,
v₂ = m₁v₁ / -m₂ = -100×15/ 500 = -1500 / 500 = 3 m/s
So the recoil speed of the cannon is 3 m/s.
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Answer:
Explanatio
Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced. 3)n:
1) Displacement: -49 m, in the negative direction
Explanation:
The displacement of an object is a vector, whose magnitude is given by the difference between the final point of the motion and the starting point:

In this problem, the starting point is +34 m, while the final position is -15 m; therefore, the displacement is:

and the direction is negative, in according to the negative sign.
2) Velocity: -3.27 m/s
Explanation:
Velocity is equal to the ratio between the displacement and the time taken:

in this problem, we have:
d = -49 m is the displacement
t = 15 s is the time
therefore, the velocity is

and the direction is negative.