Answer:
727.67 km
Explanation:
Sine they have Same distance D
distance = speed * time
D = 5.08t
D = 8.3312(t+55.9)
so
5.08t = 8.3312(t+55.9) t in
3.2512t = 465.71
t = 143.2s
Subtitute t
D=5.08 t
= 5.08 × 143.2
= 727.67km
Given parameters:
Mass of puck = 162g = 0.162kg (1000g = 1kg)
Force exerted on puck = 171N
Final velocity = 42.3m/s
Unknown
A. time of the acceleration
B. radius of the curve?
Solution:
A. time of the acceleration
the initial velocity of the puck = 0m/s
We know that;
Force = mass x acceleration
Acceleration =
Acceleration =
So force = mass x
Input the parameters and solve for time;
171 = 0.162 x
171 =
t = = 0.04s
The time of acceleration is 0.04s
B. radius of the curve;
to solve this, we apply the centripetal force formula;
F =
where;
F is the centripetal force
m is the mass
v is the velocity
r is the radius
Since the force exerted on the puck is 151;
input the parameters and solve for r²;
151 =
151r = 0.162 x 42.3²
r = 1.92m
The radius of the circular curve is 1.92m
Speed = (distance covered) / (time to cover the distance)
= (6.4 meters) / (4 minutes)
= (6.4/4) (meter/minute) = 1.6 meter per minute .
Answer:
<em>The volume is increased in a ratio of 64/27</em>
Explanation:
<u>The Volume of a Sphere
</u>
The volume of a sphere of radius r is given by:
If the radius was changed to r', the new volume would be:
Dividing the latter equation by the first one:
Simplifying:
Or, equivalently:
Since r':r = 4:3, thus:
The volume is increased in a ratio of 64/27