Answer:
a. 313.171081 miles/hour
b. 0.434m
To calculate the speed in miles per hour, you need to change meterinto miles (1m= 0.086992mile) , then second into hour(1s= 1/3600h). The calculation would be:
140 m/s x 0.086992mile/m : 1/3600 s/hour= 313.171081 miles/hour.
To calculate the next question you need to know that mili second= 1/1000 second. Then the calculation would be:
140m/s x 3.1ms x 1/1000= 0.434m
Answer:
7.7 km 26°
Explanation:
The total x component is:
x = 2.5 cos(35°) + 5.2 cos(22°) = 6.87
The total y component is:
y = 2.5 sin(35°) + 5.2 sin(22°) = 3.38
The magnitude is:
d = √(x² + y²)
d = 7.7 km
The direction is:
θ = atan(y/x)
θ = 26°
Three
Right Hand Rule
The index finger points in the direction of v
The electric field is designated by the the thumb
The middle finger is B
Paint these directions on your fingers (and thumb).
Using your right hand, B is point out of the page. Your fingers are mutually perpendicular.
Which ever answer says out of the page, is the answer. B
Four
Many critters like dogs are color blind. Those poor unfortunates see only gray. We have a wider range. Our eyes do see color (visible light) but we are not limited. The correct answer is B. We can make devices that respond to visible light like lasers so in effect they are "seeing" visible light. The answer is B.
Let d = distance that the fugitive travels to get on the train.
Let t = the time to travel the distance d.
The fugitive starts from rest accelerates at a = 3.8 m/s².
Therefore
(1/2)*(3.8 m/s²)*(t s)² = (d m)
1.9 t² = d (1)
The train travels at constant speed 5.0 m/s.
Therefore
(5.0 m/s)*(t s) = d
5t = d (2)
If the fugitive successfully boards the train, then equate (1) and (2).
1.9t² = 5t
t = 0 or t = 2.6316 s
Ignore t = 0, so t = 2.6316 s.
The speed of the fugitive after 2.6316 s, is
v = (3.8 m/s²)*(2.6316 s) = 10 s
This speed exceeds the maximum speed of the fugitive, therefore the fugitive fails to get on the train.
Answer: The fugitive fails to get on the train.