Physics, 28.09.2019 13:30 kookycookiefanx

A200 g arrow is fired and becomes embedded in a 1.8 kg wooden block that is initially at rest and suspended by a string of length 0.50 m. the arrow and the block displace an angle of 60° to the vertical after the impact. find the initial velocity, v, of the arrow before it hits the block.

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Answer from: Isabe11a

M₁ = 0.2 kg
m₂ = 1.8 kg

v₁ = ? m/s
v₂ = 0 m/s

g = 9.81 m/s

1: conservation of momentum
m₁v₁ + m₂v₂ = (m₁+ m₂)v₁₂ = m₁v₁

2: conservation of energy after the hit
0.5(m₁+ m₂)v₁₂² = (m₁+ m₂)gh = (m₁+ m₂)g * 0.5 * cos60° ⇒ v₁₂ = √(g cos60°)

1 + 2:
m₁v₁ = (m₁+ m₂) * √(g cos60°) ⇒ v₁ = (m₁ + m₂) / m₁ * √(g cos60°)

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

Physical science b final exam bernoulli’smovepowercompound translucent the sun i was having such a pain for this searching every question so i hope i made someone happy

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