Question

1)

Calculate the magnitude of the linear momentum for the following cases.

(a) a proton with mass 1.67 10^{-27} kg,
moving with a speed of 4.65 10^{6} m/s

kg · m/s

(b) a 17.5-g bullet moving with a speed of 340 m/s

kg · m/s

(c) a 73.5-kg sprinter running with a speed of 12.5 m/s

kg · m/s

(d) the Earth (mass = 5.98 10^{24} kg) moving
with an orbital speed equal to 2.98 10^{4}
m/s.

kg · m/s

2)

A soccer player takes a corner kick, lofting a stationary ball
36.0° above the horizon at 17.0 m/s. If the soccer ball has a mass
of 0.425 kg and the player's foot is in contact with it for 4.80 ✕
10^{−2} s, find the *x*- and *y*-components
of the soccer ball's change in momentum and the magnitude of the
average force exerted by the player's foot on the ball.

(a) the *x*- and *y*-components of the soccer
ball's change in momentum (in kg · m/s)

Δ* px*=
kg · m/s

Δ*p*_{y}= kg · m/s

(b)the magnitude of the average force exerted by the player's foot on the ball (in N)

Answer #1

(1) Linear momentum of an object is defined as -

p = m*v

where, m = mass of the object

v = speed of the object

(a) m = 1.67 x 10^-27 kg

v = 4.65 x 10^6 m/s

So, linear momentum of the proton, p = (1.67 x 10^-27 x 4.65 x 10^6) kg*m/s

= 7.77 x 10^-21 kg*m/s (Answer)

(b) m = 17.5 g = 17.5 x 10^-3 kg

v = 340 m/s

So, linear momentum of the bullet, p = (17.5 x 10^-3 x 340) kg*m/s

= 5.95 kg*m/s (Answer)

(c) m = 73.5 kg

v = 12.5 m/s

So, linear momentum of the sprinter, p = (73.5 x 12.5) kg*m/s

= 918.75 kg*m/s (Answer)

(d) m = 5.98 x 10^24 kg

v = 2.98 x 10^4 m/s

So, linear momentum of the Earth, p = (5.98 x 10^24 x 2.98 x 10^4) kg*m/s

= 1.78 x 10^29 kg*m/s (Answer)

Calculate the magnitude of the linear momentum for the following
cases: (a) a proton with mass equal to 1.67 ×1027 kg, moving with a
speed of 5.00 ×106m/s; (b) a 15.0 g bullet moving with a speed of
300 m/s; (c) a 75.0 kg sprinter running with a speed of 10.0 m/s;
(d) the Earth (mass =5.98×1024 kg) moving with an orbital speed
equal to 2.98×104 m/s.

Calculate the magnitude of the linear momentum for the following
cases. (a) a proton with mass 1.67 10-27 kg, moving with a speed of
4.35 106 m/s kg · m/s (b) a 16.0-g bullet moving with a speed of
385 m/s kg · m/s (c) a 79.0-kg sprinter running with a speed of
11.0 m/s kg · m/s (d) the Earth (mass = 5.98 1024 kg) moving with
an orbital speed equal to 2.98 104 m/s. kg · m/s

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(a) a proton with mass 1.67 10-27 kg, moving with a speed of
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(b) a 13.0-g bullet moving with a speed of 335 m/s kg · m/s
(c) a 70.0-kg sprinter running with a speed of 10.0 m/s kg ·
m/s
(d) the Earth (mass = 5.98 1024 kg) moving with an orbital speed
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(a) a proton with mass 1.67 10-27 kg,
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(b) a 17.5-g bullet moving with a speed of 330 m/s
kg · m/s
(c) a 74.0-kg sprinter running with a speed of 10.5 m/s
kg · m/s
(d) the Earth (mass = 5.98 1024 kg) moving
with an orbital speed equal to 2.98 104
m/s.
kg · m/s

Calculate the magnitude of the linear momentum for the following
cases
(a) a proton with mass 1.67 10-27 kg,
moving with a speed of 4.60 106 m/s
____________kg · m/s
(b) a 18.0-g bullet moving with a speed of 260 m/s
____________ kg · m/s
(c) a 74.0-kg sprinter running with a speed of 12.5 m/s
____________kg · m/s
(d) the Earth (mass = 5.98 1024 kg) moving
with an orbital speed equal to 2.98 104
m/s.
____________kg · m/s

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