Question

(1) A proton (mass *m* = 1.67 ✕ 10^{-27} kg) is
being accelerated along a straight line at 3.4 ✕ 10^{15}
m/s^{2} in a machine. The proton has an initial speed of
2.4 ✕ 10^{7} m/s and travels 4.1 cm.

(a) What is its speed? (Give your answer to at least four significant figures.)

(b) What is the increase in its kinetic energy?

(2) A helicopter lifts a 82 kg astronaut 20 m vertically from
the ocean by means of a cable. The acceleration of the astronaut is
*g*/10.

(a) How much work is done on the astronaut by the force from the helicopter?

(b) How much work is done on the astronaut by her weight?

(c) What is the kinetic energy?

(d) What is the speed of the astronaut just before she reaches the helicopter?

Answer #1

Compare the wavelengths of an electron (mass = 9.11*10^-31 kg)
and a proton (mass = 1.67*10^-27 kg), each having (a) a speed of
4.33*10^6 m/s and (b) a kinetic energy of 7.63*10^-15 J. Please
give in scientific notation for both.
a) electron wavelength=____*10^__m
proton wavelength=____*10^__m
b) electron wavelength=___*10^__m
proton wavelength=____*10^m

A rescue helicopter lifts a 94.8-kg person straight up by means
of a cable. The person has an upward acceleration of 0.581 m/s2 and
is lifted from rest through a distance of 13.0 m. (a) What is the
tension in the cable? How much work is done by (b) the tension in
the cable and (c) the person's weight? (d) Use the work-energy
theorem and find the final speed of the person.

An electron (mass m1 = 9.11 x 10-31 kg) and a proton (mass m2 =
1.67 x10-27 kg) attract each other via an electrical force. Suppose
that an electron and a proton are released from rest with an
initial separation d = 3.50 x 10-6 m. When their separation has
decreased to 1.40 x 10-6 m, what is the ratio of (a) the electron's
linear momentum magnitude to the proton's linear momentum
magnitude, (b) the electron's speed to the proton's...

An proton (mass=1.67*10^-27 kg) is accelerated in the uniform
field E (E=1.70*10^4 N/C) between two parallel charged plates. The
separation of the plates is 2.30 cm. The proton is acerbated from
the rest near the positive plate and crashes into the negative
plate. With what speed does it crash into the negative plate?

A proton (e = 1.60 X 10-19 C and m = 1.67
X 10-27 kg) is traveling at 90.0° with respect to the
direction of a magnetic field of strength 4.50 mT experiences a
magnetic forceof 7.50 X 10-17 N. The
proton's kinetic energy is:

A proton (m = 1.67 x 10-27 kg) travels a distance of 4.3 cm
parallel to a uniform electric field 2.3 x105 V/m between the
plates shown in the figure. If the initial velocity is 1.9 x 105
m/s, find the magnitude of its final velocity in m/s. (* Ignore
gravity)

(I) A free neutron (m = 1.67 × 10−27 kg) has a mean
life of 880 s. What is the uncertainty in its mass (in kg)?
(II) What minimum frequency of light is needed to eject
electrons from a metal whose work function is 4.8 × 10−19 ? and
give the ejected electron a kinetic energy of 150???
(III) If an electron’s position can be measured to a precision
of 12 nm.
what is the uncertainty in its speed?
Assuming...

A proton (m = 1.67 x 10-27 kg) is placed a distance y
above a long, horizontal wire of linear charge density λ. The
proton is then released from rest. If the magnitude of the initial
acceleration of the proton is 0.52 x 10+7
m/s2, what is the value of λ (in C/m)? Take y =
40cm.

The concepts in this problem are similar to those in
Multiple-Concept Example 4, except that the force doing the work in
this problem is the tension in the cable. A rescue helicopter lifts
a 90.3-kg person straight up by means of a cable. The person has an
upward acceleration of 0.829 m/s2 and is lifted from rest through a
distance of 13.6 m. (a) What is the tension in the cable? How much
work is done by (b) the tension...

The concepts in this problem are similar to those in
Multiple-Concept Example 4, except that the force doing the work in
this problem is the tension in the cable. A rescue helicopter lifts
a 86.8-kg person straight up by means of a cable. The person has an
upward acceleration of 0.830 m/s2 and is lifted from
rest through a distance of 10.5 m. (a) What is the
tension in the cable? How much work is done by (b)
the tension...

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