From personal advice to professional guidance, IDNLearn.com has the answers you seek. Our experts provide timely, comprehensive responses to ensure you have the information you need.
Sagot :
Given:
Mass (m) = 1200 kg
Distance (s) = 100 m
Time (t) = 10 seconds
Now,
[tex]velocity (v) = \frac{distance}{time} [/tex]
= [tex] \frac{100~ m}{10~seconds} [/tex]
= 10 m/s
Note that this one is the final velocity.
We also know that,
initial velocity (u) = 0 m/s ....... because the car starts from rest.
Now,
[tex]acceleration (a)= \frac{change~in~velocity}{time} [/tex]
= [tex] \frac{v-u}{t} [/tex]
= [tex] \frac{10-0}{10} [/tex]
= 1 m/s²
Now,
Force (F) = mass (m) * acceleration (a)
= 1200 kg * 1 m/s²
= 1200 kg.m/s²
= 1200 N
Now,
Work Done (W) = Force (F) * displacement (s) ....note that displacement is same as distance.
= 1200 N * 100 m
= 120000 N.m
= 120000 J
Now,
Power (P) = [tex] \frac{Work~done(W)}{time(t)} [/tex]
= [tex] \frac{120000~J}{10s} [/tex]
= 12000 J/s
= 12000 watt
SO,
A) The acceleration of the car is 1 m/s².
B) 1200 Newton (N) force must have acted on the car.
C) The velocity of the car after 10 seconds is 10 m/s.
D) 120000 Joule (J) work was done on the car.
E) The engine produced a minimum power of 12000 watt.
Mass (m) = 1200 kg
Distance (s) = 100 m
Time (t) = 10 seconds
Now,
[tex]velocity (v) = \frac{distance}{time} [/tex]
= [tex] \frac{100~ m}{10~seconds} [/tex]
= 10 m/s
Note that this one is the final velocity.
We also know that,
initial velocity (u) = 0 m/s ....... because the car starts from rest.
Now,
[tex]acceleration (a)= \frac{change~in~velocity}{time} [/tex]
= [tex] \frac{v-u}{t} [/tex]
= [tex] \frac{10-0}{10} [/tex]
= 1 m/s²
Now,
Force (F) = mass (m) * acceleration (a)
= 1200 kg * 1 m/s²
= 1200 kg.m/s²
= 1200 N
Now,
Work Done (W) = Force (F) * displacement (s) ....note that displacement is same as distance.
= 1200 N * 100 m
= 120000 N.m
= 120000 J
Now,
Power (P) = [tex] \frac{Work~done(W)}{time(t)} [/tex]
= [tex] \frac{120000~J}{10s} [/tex]
= 12000 J/s
= 12000 watt
SO,
A) The acceleration of the car is 1 m/s².
B) 1200 Newton (N) force must have acted on the car.
C) The velocity of the car after 10 seconds is 10 m/s.
D) 120000 Joule (J) work was done on the car.
E) The engine produced a minimum power of 12000 watt.
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.