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jekas [21]
3 years ago
14

A(n) 0.576 kg soccer ball approaches a player horizontally with a speed of 20.9 m/s. The player illegally strikes the ball with

her hand and causes it to move in the opposite direction with a speed of 9.73 m/s. What is the magnitude of the impulse delivered to the ball by the player?
Physics
1 answer:
Travka [436]3 years ago
4 0

Answer:

17.6kg.m/s in the opposite direction of the initial velocity.

Explanation:

In order to solve this we can use the Impulse-Momentum theorem:

J=\Delta p\\J=m(v_f-v_o)

We will assume the motion of the ball approaching the player as positive, so:

J=0.576kg((-9.73m/s)-20.9m/s)=-17.6kg.m/s

So the impulse is 17.6kg.m/s in the opposite direction of the initial velocity.

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The magnetic field perpendicular to a single 16.7-cm-diameter circular loop of copper wire decreases uniformly from 0.750 T to z
sammy [17]

Answer:

1.24 C

Explanation:

We know that the magnitude of the induced emf, ε = -ΔΦ/Δt where Φ = magnetic flux and t = time. Now ΔΦ = Δ(AB) = AΔB where A = area of coil and change in magnetic flux = Now ΔB = 0 - 0.750 T = -0.750 T, since the magnetic field changes from 0.750 T to 0 T.

The are , A of the circular loop is πD²/4 where D = diameter of circular loop = 16.7 cm = 16.7 × 10⁻²m

So, ε = -ΔΦ/Δt = -AΔB/Δt= -πD²/4 × -0.750 T/Δt = 0.750πD²/4Δt.

Also, the induced emf ε = iR where i = current in the coil and R = resistance of wire = ρl/A where ρ = resistivity of copper wire =1.68 × 10⁻⁸ Ωm, l = length of wire = πD and A = cross-sectional area of wire = πd²/4 where d = diameter of wire = 2.25 mm = 2.25 × 10⁻³ m.

So, ε = iR = iρl/A = iρπD/πd²/4 = 4iρD/d²

So,  4iρD/d² = 0.750πD²/4Δt.

iΔt = 0.750πD²/4 ÷ 4iρD/d²

iΔt = 0.750πD²d²/16ρ.

So the charge Q = iΔt

= 0.750π(Dd)²/16ρ

= 0.750π(16.7 × 10⁻²m 2.25 × 10⁻³ m)²/16(1.68 × 10⁻⁸ Ωm)

= 123.76 × 10⁻² C

= 1.2376 C

≅ 1.24 C

4 0
3 years ago
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