Physics, 31.07.2019 12:30 leonthegreat24

A0.10 kg ball of dough is thrown straight up into the air with an initial speed of 15 m/s. a. find the momentum of the ball of dough at its maximum height. b. find the momentum of the ball of dough halfway to its maximum height on the way up

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Mass of the ball is m = 0.10kg Initial speed of the Ball v = 15m/s a. When the ball is at maximum height the velocity is 0 Momentum of ball = mass x velocity Momentum = 0.10kg x 0 = 0 b. Getting the maximum height, Using the conservation of energy equation KEinitial = mgh 1/2mVin^2 = mgh => h = v^2/2g h = 15^2/2x9.8 = 11.48m => Half Height h = 5.96m Applying the conservation of energy equation at halfway V^2 = 2gh V = square root of (2x9.8x5.96) => V = square root of (116.816) So the velocity at the half way V = 10.81 m/s Momentum M = m x V => M = 0.10 x 10.81 => M = 1.081kg-m/s

Answer from: shanice13

(a) The momentum of ball at the maximum height is zero.

(b) The momentum of ball at halfway of maximum height is 1.06 kg-m/s.

Given data:

The mass of ball is, m = 0.10 kg.

The initial speed of ball is, u = 15 m/s.

(a)

At maximum height (h) the ball will stop, so final speed of ball is, v = 0 m/s. Then the momentum at the maximum height is,

$p=m \times v\\p=m \times 0\\p=0$

Thus, the momentum of ball at the maximum height is zero.

(b)

Apply the third kinematic equation of motion to obtain the maximum height (h) achieved by the ball as,

$v^{2}=u^{2}+2(-g)h\\0^{2}=15^{2}+2(-9.8) \times h\\19.6h=225\\h=11.47 \;\rm m$

For halfway height,

h' = h/2

h'=11.47/2

h'=5.74 m

Again apply third kinematic equation of motion to obtain the speed (v') at halfway height as,

$v'^{2}=u^{2}+2(-g)h'\\v'^{2}=15^{2}+(2(-9.8)\times 5.74)\\v'=\sqrt{15^{2}-112.50} \\v'=10.60 \;\rm m/s$

Then momentum (p') is calculated as,

$p'=m \times v'\\p'=0.10 \times 10.60\\p'=1.06 \;\rm kg-m/s$

Thus, the momentum of ball at halfway of maximum height is 1.06 kg-m/s.

Learn more about the momentum here:

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Answer from: Quest

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

Answer from: Quest

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.

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A0.10 kg ball of dough is thrown straight up into the air with an initial speed of 15 m/s. a. find t...

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