6. A proton is being accelerated at 3.6x1015 m/s? in a linear accelerator. If the proton has an initial speed of 2.4x107 m/s and travels 3.5 cm, what then is its: a) speed, and b) increase in kinetic energy?

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6. A proton is being accelerated at 3.6×1015 m/s² in a linear accelerator. If the proton has an initial speed of
2.4x107 m/s and travels 3.5 cm, what then is its:
a) speed, and
b) increase in kinetic energy?
Answers: a) 2.88×107 m/s b) 2.08×10-13 J
7. A 45 kg block slides down a frictionless incline 1.5 m long and 0.91 m high. A worker pushes up against the ice,
parallel to the incline, so that the block slides down at constant speed.
a) Find the force exerted by the worker.
How much work is done on the block by:
b) the worker's force,
c) the weight of the block,
d) the normal force exerted on the block by the surface, and
e) the resultant (net) force on the block?
Answers: a) 268 N b)-402 J
c) 402 J d) 0
8. What work is done by the force,
F =2xî+3}
which is in Newtons with x in meters, on a particle that moves from:
To = 2î +3}
to:
i = -4i- 3)
where both displacement vectors are in units of meters?
Answer: -6J
9. A force F= 3.00 î + 7.00 ĵ + 7.00 k (in N) acts on a 2.00 kg object that moves from an initial position of
d; = 3.00î – 2.00 ĵ+5.00 k (in m) to a final position d =-5.00î + 4.00ĵ + 7.00 k (also in m) in a time of 4.00 s. Find:
%3D
%3D
a) the work done on the object by the force in the 4.00 s interval,
b) the average power due to the force during that same interval, and
c) the angle between vectors d; and dr.
Answers: a) 32.0J b) 8.00 W c) 78.2°
Aaronson - Practice problems on work and energy
Transcribed Image Text:6. A proton is being accelerated at 3.6×1015 m/s² in a linear accelerator. If the proton has an initial speed of 2.4x107 m/s and travels 3.5 cm, what then is its: a) speed, and b) increase in kinetic energy? Answers: a) 2.88×107 m/s b) 2.08×10-13 J 7. A 45 kg block slides down a frictionless incline 1.5 m long and 0.91 m high. A worker pushes up against the ice, parallel to the incline, so that the block slides down at constant speed. a) Find the force exerted by the worker. How much work is done on the block by: b) the worker's force, c) the weight of the block, d) the normal force exerted on the block by the surface, and e) the resultant (net) force on the block? Answers: a) 268 N b)-402 J c) 402 J d) 0 8. What work is done by the force, F =2xî+3} which is in Newtons with x in meters, on a particle that moves from: To = 2î +3} to: i = -4i- 3) where both displacement vectors are in units of meters? Answer: -6J 9. A force F= 3.00 î + 7.00 ĵ + 7.00 k (in N) acts on a 2.00 kg object that moves from an initial position of d; = 3.00î – 2.00 ĵ+5.00 k (in m) to a final position d =-5.00î + 4.00ĵ + 7.00 k (also in m) in a time of 4.00 s. Find: %3D %3D a) the work done on the object by the force in the 4.00 s interval, b) the average power due to the force during that same interval, and c) the angle between vectors d; and dr. Answers: a) 32.0J b) 8.00 W c) 78.2° Aaronson - Practice problems on work and energy
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